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`Georgia Standardized Test Practice WorkbookMcDougal Littellcorrelated to theGEORGIA QUALITY CORE CURRICULUMand theGEORGIA HIGH SCHOOL GRADUATION TEST STANDARDSGeometryApplying · Reasoning · MeasuringGeorgia Geometry Standardized Test Practice WorkbookThe Standardized Test Practice Workbook provides practice exercises for every lesson in a standardized test format. Included are multiple-choice, quantitativecomparison, and multi-step problems. The Standardized Test Practice for every lesson is correlated to the Georgia Quality Core Curriculum and to the Georgia High School Graduation Test standards. At the end of the book you will find practice for the Georgia End-of-Course Test.Copyright © 2001 McDougal Littell Inc. All rights reserved. Permission is hereby granted to teachers to reprint or photocopy in classroom quantities the pages or sheets in this work that carry a McDougal Littell copyright notice. These pages are designed to be reproduced by teachers for use in their classes with accompanying McDougal Littell material, provided each copy made shows the copyright notice. Such copies may not be sold, and further distribution is expressly prohibited. Except as authorized above, prior written permission must be obtained from McDougal Littell Inc. to reproduce or transmit this work or portions thereof in any other form or by any other electronic or mechanical means, including any information storage or retrieval system, unless expressly permitted by federal copyright law. Address inquiries to Manager, Rights and Permissions, McDougal Littell Inc., P. O. Box 1667, Evanston, Illinois 60204.ISBN: 0-618-13259-7 123456789-MDI- 04 03 02 01 00ContentsChapter Title1 2 3 4 5 6 7 8 9 10 11 12 Basics of Geometry Reasoning and Proof Perpendicular and Parallel Lines Congruent Triangles Properties of Triangles Quadrilaterals Cumulative Standardized Test Practice Transformations Similarity Right Triangles and Trigonometry Circles Area of Polygons and Circles Surface Area and Volume Georgia End-of-Course Practice Test Answers 1­7 8­13 14­20 21­27 28­33 34­40 41­44 45­50 51­57 58­64 65­71 72­77 78­84 85­88 A1-A8Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice WorkbookiiiLESSON1.1GA QCC: 4, 6Standardized Test PracticeFor use with pages 3­9TEST TAKING STRATEGYRead each test question carefully. Always look for shortcuts that will allow you to work through a problem more quickly.5. Multiple Choice1. Multiple ChoiceChoose the next figure inChoose the next figure inthe pattern.the pattern.Chapter 1ABCABCD D EE2. Multiple ChoiceWhat is the next number in6. Multiple Choicethe sequence? 2,A DThe first three objects in a pattern are shown. How many blocks are in the next object?1, 94, 117. . .B E10 12C103. Multiple ChoiceWhat is the next number inA Dthe sequence? 0, 2, 6, 12 . . .A D20 36B E25 40C3018 22B E24 26C207. Multi-Step ProblemExamine the triangularpattern. 1 1 1 2 14. Multiple ChoiceWhat is the next number inthe sequence? 2, 4, 16 . . .A D28 256B E26 192C121 1 3 3 1 a. Predict the next two rows of the triangle.b. Describe a pattern for the value of a num-ber in each row.c. Describe a pattern for the number ofentries in each row.Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook1LESSON1.2GA QCC: 7, 9, 12Standardized Test PracticeFor use with pages 10­16TEST TAKING STRATEGYWork as quickly as you can through the easier sections but avoid making careless errors on easy questions.7. Multiple Choice1. Multiple Choice What does the symbol BCB D  AB and BD intersect atB Erepresent?A? line BC ray BCA D. A D BCsegment BC point B ray CBCChapter 1C Enone of these8. Multiple ChoiceMultiple Choice In Exercises 2­6, refer to the diagram below.b M X Y Q R P N O Z c d aPoints W, X, Y and Z are not coplanar. What is the intersection of plane WXY and WYZ?   A WX B WY C W and YD EThe planes do not intersect. Cannot be determined.9. Multi-Step ProblemFollow the directions below to sketch the desired shape.a. Draw a plane. Label the four corners A, B, 2. Name a point that is collinear to points Nand Z.A DP P and XB EO O and MCM3. Name a point that lies on line c. A DC, and D, starting at the bottom left and proceeding clockwise.    b. Draw four parallel lines, AE, BF, CG,  and DH, so that each line intersects plane ABCD once, and points E, F, G, and H are coplanar. Plane ABCD and plane EFGH are parallel.c. Draw EH, HG, FG, and EF. d. What shape is outlined by the figure?M QB EP OCZ4. Name a point that is collinear to points Pand Q.A DM XB EN M and YCY5. Name a point that is coplanar to line a. A DN QB EO all of theseCR6. Name three noncollinear points. A DP, Y, Q Q, R, OB EM, N, P X, N, PCM, N, Z2GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON1.3GA QCC: 7, 8, 9, 12, 43, 46Standardized Test PracticeFor use with pages 17­25GHSGT: 9, 19, 20, 35TEST TAKING STRATEGYSketch graphs or figures in your test booklet to help you solve the problems. Even though you must keep your answer sheet neat, you can make any kind of mark you want in your test booklet.8. Multiple Choice1. Multiple Choice A C EA rule that is accepted without proof is called a ? . theorem axiom B and CB Dpostulate A and BPoint H is between G and I. Use the segment addition postulate to solve for x when GH 8x 7, HI 3x 2, and GI 38. 3 31B EChapter 1A D5 39C72. Multiple Choice A DFind the length of AC if AB is 6, BC is 10, and B is between A and C. 4 60B E9. Multiple ChoiceIn Exercise 8, the lengthB Eof HI isA D?. 5 39C16 6C43 317Multiple Choice In Exercises 3­7, use the diagram below where MQ 30, MN 5, MN NO and OP PQ.M N O P Q10. Multiple ChoiceUse points A 5, 1 , B 5, 6 , C 1, 4 and D 4, 2 to determine which of the following is true. AB AB BC BC BD CDB DA C CAB ACCD AB3. Find the length of OQ. A D5 20B E10 2515EQuantitative Comparison4. Find the length of PQ. A DIn Exercises 11­13, choose the statement below that is true about the given values.A B C5 20B E10 25C15The value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the information given. Column A Column B XY when X 5, 2 and Y 1, 4 XY when X 5, 3 and Y 8, 2 XY YZ5. Find the length of NO. A D5 20B E10 25C15D6. Find the length of NP. A D11. C5 20B E10 251512. 13.AB when A 1, 3 and B 3, 6 AB when A 2, and B 3, 2 XZ 47. Which of the statements below are not true? A C ENP NQ MQMN MP PQPQ BDMP MOOQ PQGeometryGeorgia Standardized Test Practice Workbook33Copyright © McDougal Littell Inc. All rights reserved.LESSON1.4GA QCC: 8, 9Standardized Test PracticeFor use with pages 26­32GHSGT: 29, 31TEST TAKING STRATEGYAvoid spending too much time on one question. Skip questions that are too difficult for you, and spend no more than a few minutes on each question.6. Multiple Choice1. Multiple Choice AAngle A is an obtuse angle for which measure(s)? 0 &lt; m A &lt; 90 0 &lt; m A &lt; 180 90 &lt; m A &lt; 180 m A m A 90 180 An angle measuring 35 ? .B DPlot the points A 6, 4 , B 1, 1 and C 3, 1 in a coordinate plane. Sketch ABC. The angle is a(n) ? . acute angle right angle adjacent angleB DChapter 1B C D EA C Eobtuse angle straight angle7. Multiple Choice2. Multiple Choicewould be a(n)A C EUsing the same three points in Exercise 6, sketch ACB. The angle is a(n) ? . acute angle right angle adjacent angleB Dacute angle right angle adjacent angleobtuse angle straight angleA C Eobtuse angle straight angle3. Multiple ChoiceWhich angle appears to beBa right angle?A8.Quantitative Comparisonfollowing information.Use the 50 90 m EBFCD· D is interior to ABE · m ABD · E is interior to DBF · m EBC · F is interior to EBC · m ABDChoose the statement below that is true about the given values.E 4. Multiple Choice A C E AThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the information given. Column A m ABC Column B m ABE m EBCFind m WYZ.B DB C5 85 17590 105W X45 40DYZ5. Multiple ChoiceFind the measure ofm BDC.A B C D E4185 115 25 175 100GeometryB A35 150DCGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON1.5GA QCC: 9, 15, 43, 46Standardized Test PracticeFor use with pages 34­42GHSGT: 4, 31TEST TAKING STRATEGYStaying physically relaxed during the SAT is very important. If you find yourself tensing up, put your pencil down and take a couple of deep breaths. This will help you stay calm.6. Multiple Choice1. Multiple Choice5 2, 5 2, 3 2 1 2Find the midpoint of a segment with endpoints A 3, 2 and B 8, 1 .B E11 1 2,2 11 2, 3 2m DBCA D BD bisects ABC. If the 28 , what is the m ABD?B EA DC11 2,1 214 6228 152  QS bisects 52 13M52C56Chapter 12. Multiple Choice A C EFind the midpoint of a segment with endpoints A 7, 3 and B 3, 3 . 2, 5, 0 5, 3 3B D7. Multiple ChoiceMQR. Whatis the m MQR?A C E2, 0 2, 026 104 38B DSQR3. Multiple ChoiceFind the coordinates of the other endpoint of a segment with an endpoint of X 13, 5 and midpoint M 8, 3 . 18, 7 3, 7 29, 11B D8. Multiple Choice AB bisects 56 28CCAD. Findthe value of x.A C EA C E18, 1 3, 12 5 6B D(8x20)B(x1 225)A4. Multiple ChoiceFind the coordinates of the other endpoint of a segment with an endpoint of X 2, 3 and midpoint M 1, 2 . 4, 0, 4, 8 7 1B DDQuantitative ComparisonA C E4, 7 5, 8In Exercises 9  and 10, use the diagram below where BD  bisects ABC and BE bisects ABD. Choose the statement below that is true E A about the given values. 28A B C DD5. Multiple Choice A B C D EChoose the congruent angles on the triangle shown. A and A and and B C CA C BThe value in column A is greater. The value in column B is greater.BCThe two values are equal. The relationship cannot be determined. Column A Column B m DBC 180AB and AC AB and BC9. 10.m ABEm EBDm ABDCopyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook5LESSON1.6GA QCC: 8, 9, 12Standardized Test PracticeFor use with pages 44­50GHSGT: 29, 31TEST TAKING STRATEGYThe mathematical portion of the SAT is based on material taught in your high school mathematics courses. One of the best ways to prepare for the SAT is to keep up with your regular studies and do your homework assignments.6. Multiple Choice(3x 2)Multiple Choice Refer to the diagram below for Exercises 1­3.Chapter 1Find the value of x.(4x 5)2 3 1 5 4A D13.3 26B E7 25C147. Multiple Choice 1. Which angles are a linear pair? A C E1 and 1 and 3 and2 4 5B D2 and 4 and3 5Two angles are complementary. One angle has a measure that is twice the other angle. What is the measure of the smaller angle? 15 60B EA D30 75C452. Which angles are vertical angles? A C E8. Multiple ChoiceFind the value of y.(2x 8)1 and 3 and 4 and2 5 5B D1 and 1 and5 4(4x 12) (7y 12)A 3. Which angles are supplementary? A C E D10 152B E28 128C201 and 1 and4 5B D4 and B and C5Quantitative Comparisonall of theseIn Exercises 9 and 10, use the diagram below and choose the statement below that is true about the given value. The m 3 76 .A B C D4. Multiple ChoiceTwo angles are supplementary. One angle has a measure that is five less than four times the other. What is the measure of the larger angle? 19 148B EThe value in column A is greater. The value in column B is greater. The two values are equal.12 4 3A D71 153C1435. Multiple Choice A C EWhat is the m 1? 90 14535 1The relationship cannot be determined from the given information. Column A m 3 Column B m 1 The supplement of 145 55 155B D9. 10.m 46GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON1.7GA QCC: 12, 37, 46Standardized Test PracticeFor use with pages 51­58GHSGT: 4, 9, 21, 26, 27, 35TEST TAKING STRATEGYMake sure you are familiar with the directions before taking a standardized test. This way, you do not need to worry about the directions during the test.7. Multiple Choice1. Multiple ChoiceFind the perimeter of the 8 163 5Find the area of the figure.yfigure.A C EA 18.84 square units B D B C7 14 309.42 square unitsChapter 128.26 square units1 1 xD 56.52 square units2. Multiple Choicethe circle. UseA B C D EFind the circumference of 3.14.E88.74 square units18.84 ft 37.68 ft 113.04 ft 37.68 ft2 113.04 ft28. Multiple Choice6 ftFind the area of the rectangle defined by A 2, 1 , B 2, 4 , C 6, 4 and D 6, 1 . 7 square units 24 square units 9 square unitsB DA C E14 square units 12 square units3. Multiple Choice A DFind the area of a square with a side of 7 inches. 14 in. 49 in.2B E9. Multiple Choice A D28in.2C49 in.A square with an area of 64 square inches has a perimeter of ? . 64 in. 128 in.B E28 in.16 in.C32 in.4. Multiple Choice A DFind the area of a triangle with a base of 8 m and a height of 4 m. 19 m 16 mB Ecannot be determined10. Multiple Choice32 12m2 m2C16m2A triangle has an area of 72 square feet and a height of 9 feet. Find its base. 16 ft 9 ftB EA 5. Multiple Choice A C E8 ft 34 ftC32 ftFind the area of a circle with a radius of 9 meters. Use 3.14. 28.26 m2 56.52 m2 254.34 m2 Find the area of the figure.B DD28.26 m 56.52 m11. Multi-Step ProblemA rectangular window pane is 40 inches by 50 inches.a. Find the area of the window pane. b. Find the perimeter of the window pane.6. Multiple Choice A B C D Ec. A frame around the window pane is50.24 25.12cm2 cm216 cm401.92 cm2 200.96 cm2 100.48 cm21.5 inches wide. Find the area and perimeter of the window pane, including the frame. With the frame, by what percent did the area increase?Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook7LESSON2.1GA QCC: 5, 6, 9Standardized Test PracticeFor use with pages 71­78TEST TAKING STRATEGYWhen checking your work, try to use a method other than the one you originally used to get your answer. If you use the same method, you may make the same mistake twice.D E1. Multiple Choice A B C D EWhat is the if-then form of &quot;A group is a dozen if it has 12 objects?&quot; If a group does not have 12 objects, then it is not a dozen. If a group is not a dozen, then it does not have 12 objects. If a group has 12 objects, then it is a dozen. A group is a dozen if and only if it has 12 objects. None of the aboveIf 5x213, then x3.None of the above5. Multiple Choice A B C D EWhich of the following statements is not true? If x If x3 If x If x If x2 4, then x2 27, then x 3, then 2, then x2 4, then x x3 4. 2. 16. 3. 27.2. Multiple ChoiceChapter 2What is the inverse of &quot;If water is ice, then the water's temperature is 32 F?&quot; If water's temperature is 32 F, then it is ice. If water is not ice, then its temperature is not 32 F. If water's temperature is not 32 F, then water is not ice. Water is ice if and only if its temperature is 32 F. None of the above6. Multiple ChoiceA B C D EUse the conditional statement &quot;If an angle is obtuse, then the angle measures 98 &quot; to decide which of the following are true.I. The statement is true. II. The converse of the statement is true. III. The contrapositive of the statement is true. A I only B II onlyC EIII only I and IIIDI and II3. Multiple Choice A B C D EWhat is the converse of &quot;If you are hungry, then you did not eat lunch?&quot; If you did not eat lunch, then you are hungry. If you ate lunch, then you are not hungry. If you are not hungry, then you ate lunch. You are hungry if and only if you did not eat lunch. None of the above What is the contrapositive 3, then 5x 2 13?&quot; 13 if and only if x 2 13. 3. 2 13, then x 3. 3, then 5x7. Multi-Step ProblemUse Postulate 8 toanswer parts (a)­(e). Postulate 8: Through any three noncollinear points there exists exactly one plane.a. Rewrite Postulate 8 in if-then form. b. Write the converse of Postulate 8. c. Write the inverse of Postulate 8. d. Write the contrapositive of Postulate 8. e. Critical Thinking4. Multiple Choiceof &quot;If xA B C85x If x If 5x2Are the statements you wrote in parts (a)­(d) true?GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON2.2GA QCC: 4, 6, 8Standardized Test PracticeFor use with pages 79­85TEST TAKING STRATEGYIf you find yourself spending too much time on one test question and getting frustrated, move to the next question. You can revisit a difficult problem later with a fresh perspective.4. Multiple Choice1. Multiple ChoiceGiven that 2 4 and 2 5, which statement about the diagram is not true? 5 4 6 and 2 are supplementary. 8 and 5 are supplementary. 1 1 and 8 3 are supplementary.A B C D EWhich of the following is true about the conditional statement &quot;If m 1 30 and the m 2 150 , then the angles are supplementary?&quot;1 2 5 63 4 7 8I. The statement is true. II. The converse is true. III. The statement can be written as a true biconditional.A DI I and IIB EII I, II, and IIICIII2. Multiple ChoiceWhat is the biconditional form of the statement &quot;If a whitetail deer has antlers, then it is a male deer?&quot; A whitetail deer has no antlers if and only if it is not a male deer. A whitetail deer has antlers if and only if it is a male deer. If a whitetail deer has no antlers, then it is not a male deer. If a whitetail deer is male, then it has antlers. None of the above5. Multiple Choice A B C D EWhich statement below would be a true biconditional statement? If ABC measures 90 , then it is a right angle. If two angles are adjacent, then they share a common side. If two squares have the same diagonal length, then they have equal sides. A and C All of the aboveChapter 2A B C D EQuantitative Comparison3. Multiple ChoiceWhich one of the following statements cannot be written as a true biconditional statement? If the sum of two angles is 90 , then they are complementary. If two angles have the same measurement, then they are congruent. If 5x 7 22, then x 3. If two angles are linear, then they are supplementary. If y lies between x and z, then xy yz xz.In Exercises 6 and 7, choose the statement below that is true about the given quantities.A B C DThe quantity in column A is greater. The quantity in column B is greater. The two quantities are equal. The relationship cannot be determined from the given information. Column A Column BThe number of lines that can be drawn through any one point The sum of two adjacent anglesA B C D E6.The number of lines created by the intersection of two planes The sum of two supplementary angles7.Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook9LESSON2.3GA QCC: 4, 5, 6Standardized Test PracticeFor use with pages 87­95GHSGT: 4TEST TAKING STRATEGYIt is important to remember that your SAT score will not solely determine your acceptance into a college or university. Do not put added pressure on yourself to do well. If you are not satisfied with your SAT score, remember you can take it again.5. Multiple ChoiceMultiple Choice For Exercises 1­3, let p be &quot;It is raining,&quot; let q be &quot;It is thundering,&quot; and let r be &quot;We cannot swim.&quot;1. What is q  p? A B C D EWhich law of logic allows the conclusion given the true statement? &quot;If it is Saturday, then Nina's family rents movies. Today is Saturday, therefore Nina concludes her family will rent movies.&quot; Law of Detachment Law of Syllogism Inductive reasoning Deductive reasoning None of the aboveIf it is raining, then it is thundering. If it is raining, then we cannot swim. If it is thundering, then it is raining. If it is thundering, then we cannot swim. If it is not raining, then it is not thundering.A B C D EChapter 22. What is the converse of p  q? A B C D E6. Multiple ChoiceIf it is thundering, then it is raining. If it is not raining, then it is not thundering. If it is not thundering, then it is not raining. If it is not thundering, then it is raining. If it is thundering, then it is not raining.Which law of logic allows the conclusion given the true statement? &quot;For the past 4 weeks the ski club has gone skiing on Friday nights. Wendy concludes that the ski club will go skiing this Friday.&quot; Law of Detachment Law of Syllogism Inductive reasoning Deductive reasoning None of the aboveA B C D3. What is the contrapositive of r  q? A B C D EEIf it is thundering, then we cannot swim. If we can swim, then it is not thundering. If we cannot swim, then it is not thundering. If we can swim, then it is thundering. If it is not thundering, then we can swim. The statement ~p  ~r7. Multi-Step ProblemLet p be &quot;You get caught exceeding the speed limit,&quot; let q be &quot;You will get a speeding ticket,&quot; and let r be &quot;You will pay higher insurance rates.&quot;a. Write p  q in words. b. Write q  r in words. c. Write the contrapositive of p  q in4. Multiple Choicecould beA B C D E10?.the inverse of r  p the inverse of ~r  ~p the contrapositive of r  p the converse of r  p the contrapositive of ~r  ~pGeometryGeorgia Standardized Test Practice Workbookwords and symbols.d. WritingUse the Law of Syllogism and the statements from parts (a) and (b) to write a new conditional statement. How does the Law of Detachment apply?Copyright © McDougal Littell Inc. All rights reserved.LESSON2.4GA QCC: 1, 2, 6, 43Standardized Test PracticeFor use with pages 96­101GHSGT: 3, 4, 38TEST TAKING STRATEGYDo not panic if you run out of time before answering all of the questions. You can still receive a high test score without answering every question.5. Multiple Choice1. Multiple ChoiceWhich property of equality matches the conditional statement &quot;If AB BC and BC CD, then AB CD?&quot; Addition property Symmetric property Reflexive property Substitution property Transitive propertyWhich property of equality matches the conditional statement &quot;If XY AB 15 and XY 5, then AB 10?&quot; Substitution property Addition property Division property Distributive property Reflexive propertyA B C D EA B C D E2. Multiple ChoiceWhich property of equality matches the conditional statement &quot;If m X m Z, then m Z m X?&quot; Addition property Symmetric property Reflexive property Substitution property Transitive property6. Multiple ChoiceUse the Multiplication property of equality to complete &quot;If m A 15 , then 4 m A ? . 15 60B EA B C D EA D30 75C45Chapter 27. Multi-Step Problemm ABE m DBC.In the diagram, m EBC and m EBDState a reason that makes each statement true.3. Multiple ChoiceSolve 5x 10, then choose the property that applies to the required step. Substitution property Addition property Division property Distributive property Reflexive propertyA EA B C D ED B Ca. m EBC b. m ABE c. m ABE d. m EBD e. m ABE f. m ABE g. Writingm EBD m EBC m EBD m DBC m EBD 2 m EBDm DBC m DBC m EBD4. Multiple ChoiceSolve x 7 10, then choose the property that applies to the required step. Substitution property Addition property Division property Distributive property Reflexive propertyA B C D EUse parts (a)­(f) to write an argument for &quot;If m ABE m EBC and m EBD m DBC, then m ABE 2 m EBD .&quot;Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook11LESSON2.5GA QCC: 4, 6, 9Standardized Test PracticeFor use with pages 102-107GHSGT: 5TEST TAKING STRATEGYMake sure that you are familiar with the directions before taking a standardized test. This way, you do not need to worry about the directions during the test.YZ.5. Multiple ChoiceW Z7x 14 3x 21. Multiple Choice5x 1 9xIn the diagram, WX Find the length of XZ.3 11In WXYZ, WZ What is the value of x?XXY.WXYA D11 4B E2 26C15Z Y2. Multiple Choiceand BC3x 2In the diagram, AB CD. Find the length of CE.6y 7DEA D1.6 12B E3 4C0.25y C811x6Quantitative Comparison10ABDEChapter 2A D11 16B E22 5CIn Exercises 6­8, use the diagram below to choose the statement that is true about the given value.A B C DThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.X Y53. Multiple ChoiceIn KLM, KL LM, and KL 8, and KM 8. Give a reason why KL and KM are congruent. Reflexive property Symmetric property Definition of congruent segments Transitive property Addition propertyLA B C D EZ5KM W V4. Multiple ChoiceIn the figure from Exercise 3, KL LM and LM KM. Give a reason that KL KM. Reflexive property Transitive property Symmetric property Definition of congruent segments Addition property6. 7. 8.Given: Y is the midpoint of XZ, XW ZV, and XZ WV. Column A WY WV WV ZV Column B YV 3 ZV 2 XY 2 YZA B C D E12GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON2.6GA QCC: 6, 8, 9Standardized Test PracticeFor use with pages 109­116GHSGT: 4TEST TAKING STRATEGYStaying physically relaxed during the SAT is very important. If you find yourself tensing up, put your pencil down and take a couple of deep breaths. This will help you stay calm.6. Multiple Choice A B C D E1. Multiple Choicecomplementary. IfA DTwo angles 1 and 2 are 1 is 27 , what is 2? 54 153CSolve for y in the diagram.(3x 18)20 45 51 78 102(5x27 63B E902)2(y6)2. Multiple ChoiceTwo angles, 1 and 2, are supplementary to 3. If m 1 85 , then m 1 m 3 ? . 85 265B EA D170 180C907. Multiple Choice3. Multiple ChoiceWhat is m 2 ifGiven that 1 is not a right angle, 1 and 2 form a linear pair, 3 and 4 form a linear pair, and 1 and 3 are vertical angles. Which statement below is not true? m 1 m 3 2 m 2 1 m 4 m 4 4 m 4 3 180 180 180Chapter 2m 135 .A B21CA D35 145B E70 55C90D EQuantitative Comparison4. Multiple ChoiceIf m 3 64 128126 , thenm 2A C E?B D.63 126 36In Exercises 8­10, choose the statement that is true about the diagram. In the diagram, 4 5, m 3 40 , m 6 120 , and m 3 m 5 m 9 180 .A1 2 4 3B 5. Multiple Choice A C ESolve for x in the diagram. 4 16(3x 2) (13x 18)2 8 1B DC DThe value in column A is 1 2 11 3 4 greater. The value in column B is 10 9 5 6 7 8 greater. The two values are equal. The relationship cannot be determined from the given information. Column A Column B 4m 7 m 11 m 10Geometry 138. 9. 10.Copyright © McDougal Littell Inc. All rights reserved.m 1 m 9 2m 4Georgia Standardized Test Practice WorkbookLESSON3.1GA QCC: 8, 9, 11, 12Standardized Test PracticeFor use with pages 129­134GHSGT: 29TEST TAKING STRATEGY1. Multiple ChoiceWork as quickly as you can through the easier sections, but avoid making careless errors on easy questions. Multiple ChoiceIn Exercises 6­8, use the diagram below. Think of each segment as part of a line.I G a C E A B D F J HIn the diagram, how many lines can be drawn through point X that are skew to line a? 0 2B DA C E1 3XMore than 3Multiple Choicediagram below.In Exercises 2­5, use thea6. AC and HF are Ab c?B D. skew intersecting 1 2 3 4 5 6 7 8perpendicular parallel None of these  DH and  CD and  JH  GHC E7. Which lines are skew to BF? 2. Which angles are corresponding angles? A C E A C E B D  CA and IG1 and 2 and A and C5 6B D4 and A and B6A and B B and C  CD and  HF and  CA  CA   GH and EF8. Which lines are perpendicular to CG? A C E B D3. Which angles are alternate exterior angles?Chapter 3A C E2 and 3 and A and C8 8B D2 and A and B7A and BB and C9. Multi-Step Problem4. Which angles are consecutive interior angles? A C EUse the diagram below to answer parts (a)­(d). Think of each segment as part of a line.E A F D G C H3 and 3 and A and C5 7B D4 and A and B65. What type of angles are A B C D E144 and5?BCorresponding angles Alternate exterior angles Alternate interior angles Consecutive interior angles Consecutive exterior anglesGeometryGeorgia Standardized Test Practice Workbooka. Name all lines parallel to AD. b. Name all lines skew to FG. d. Critical Thinkingc. Name all lines perpendicular to BF.If you did not know ABC was a right angle, which answers above would be affected?Copyright © McDougal Littell Inc. All rights reserved.LESSON3.2GA QCC: 6, 9, 12Standardized Test PracticeFor use with pages 136­141GHSGT: 29TEST TAKING STRATEGYAvoid spending too much time on one question. Skip questions that are too difficult for you, and spend no more than a few minutes on each question.5. Multiple Choice1. Multiple Choice A C EFind the value of x. 35 14555Find the value of y fromB E55 90 125B DExercise 4.Ax35 11070 90C55D2. Multiple Choice A C EFind the value of x. 50 65x b2 3 1 25Quantitative Comparison25 90 155B DFor Exercises 6­8, use the diagram below. Choose the statement that is true about the given values. Given: xAy 35ym 53. Multiple ChoiceWhich of the following must be true if a b? I. 1 and 2 are complementary. m 2 &lt; 180 m 2B DBaC DII. m 1 III. m 1A C E2 The value in 1 3 column A is x 4 6 5 greater. The value in column B is greater. The values are equal. The relationship cannot be determined from the given information.Column A II only I and III7. 8. 6.Column B m 6 m 3 m 6Chapter 3I only I and II I, II, and IIIm 2 m 1m 4 m 2m 3m 54. Multiple Choice A B C D EFind the value of x.35 70 55 110 9035y xCopyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook15LESSON3.3GA QCC: 1, 9, 11, 12, 15Standardized Test PracticeFor use with pages 143­149GHSGT: 4, 29TEST TAKING STRATEGYSketch graphs or figures in your test booklet to help you solve the problem. Even though you must keep your answer sheet neat, you can make any kind of mark you want in your test booklet.5. Multiple Choice1 2 3 4 5 6 7 8Multiple ChoiceFor Exercises 1­4, use the diagram at the right, where a b.1. Choose the reasonWhich of the following is not true when a b? 1 4 m 2 m 1 180 m 4 180 m 4 5 and 8 m 6 m 57 5 8 3 6 1 4 2aA B C D Eabthe statement &quot;If the m 1 85 , then m 5 85 &quot; is true.A B C D Ebm 6 m 8Alternate Interior Angles Theorem Alternate Exterior Angles Theorem Consecutive Interior Angles Theorem Vertical Angles Theorem Corresponding Angles PostulateQuantitative ComparisonIn Exercises 6­8, use the diagram below where a b and x y. Choose the statement that is true about the given values.x125 1 4 5 8 9 12 13 2 6 7 32. Choose the reason the statement &quot;If they am 3A B C55 , then m 5135 &quot; is true.Alternate Interior Angles Theorem Alternate Exterior Angles Theorem Consecutive Interior Angles Theorem Vertical Angles Theorem Corresponding Angles PostulateA B C D10 11 14 15bChapter 3D E3. Choose the reason the statement &quot;If them 2A B C D E110 , then m 770 &quot; is true.Alternate Interior Angles Theorem Alternate Exterior Angles Theorem Consecutive Interior Angles Theorem Vertical Angles Theorem Corresponding Angles Postulate 120 , then the m 3B E 6. 7.The value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column A m 2 m 10 m 6 Column B m 8 m 3 m 124. If the m 6 A D?C.8.m 4m 1460 90120180cannot be determined16GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON3.4GA QCC: 6, 9, 11, 12Standardized Test PracticeFor use with pages 150­156GHSGT: 29TEST TAKING STRATEGYWhen checking your work, try to use a method other than the one you originally used to get your answer. If you use the same method, you may make the same mistake twice.t x1. Multiple Choice4. Multiple Choice A ByWhich postulate or theorem would prove x y?AWhat value of x would make lines w and v parallel? 30 20 60 40 50  EB  AE  EF  FD  CF  BC(3x 60) 120wConsecutive Interior Angles Converse Corresponding Angles Converse Alternate Interior Angles Converse Alternate Exterior Angles ConverseC D EvB C D E5. Multiple Choice A BWhich lines are parallel?E70 30 30Cannot prove x y with given informationF68 322. Multiple ChoiceC DtWhich postulate or theorem would prove a b?AAB CDB and C All of the aboveEConsecutive Interior Angles Converse6. Quantitative Comparisona bUse the diagram below to find the values of x and y that would make a b.B C D ECorresponding Angles Converse Alternate Interior Angles Converse Alternate Exterior Angles Converse Cannot prove a b with given informationt142 28 (4y (2x 25) 15) (x 30)aChapter 33. Multiple ChoicebWhich postulate or theorem would prove x y?Ax yChoose the statement that is true about the given values.A B C DConsecutive Interior Angles Converse Corresponding Angles Converse Alternate Interior Angles Converse Alternate Exterior Angles ConverseB C D EThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column A x Column B yCannot prove x y with given informationCopyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook17LESSON3.5GA QCC: 1, 9, 12, 15Standardized Test PracticeFor use with pages 157­164GHSGT: 4, 29TEST TAKING STRATEGYIt is important to remember that your SAT score will not solely determine your acceptance into a college or university. Do not put added pressure on yourself to do well. If you are not satisfied with your SAT score, remember that you can take it again.4. Multiple Choice1. Multiple ChoiceComplete the following to make a true statement. &quot;In a plane, if two lines are to the same line, then they ? are to each other.&quot; ? perpendicular, parallel perpendicular, perpendicular parallel, parallel parallel, perpendicular None of theseJ30 30Which of the statements must be true if a b and x y? m 1 m 5a1 2 3 6 7 4 5 8 9I.b x yA B C D EII. m 3 m 5 180 III. m 7 m 8 180A CI only III only All of the aboveB DII only I and II2. Multiple ChoiceWhich theorem or postulate shows J K?A B C D EEK t5. Multiple ChoiceDetermine which linesa b c d eAlt. Int. Converse Cons. Int. Alt. Ext. Cons. Ext. Corresp. Converse Converse Converse Postulatetmust be parallel.A B C D Ea b c d c e A and B A and CChapter 33. Multiple ChoiceWhich theorem or postulate shows J K?A B C D E6. Multiple ChoiceJ KWhat value of x makesa b(2x 30)a b?A B C DAlt. Int. Converse Cons. Int. Converse Alt. Ext. Cons. Ext. Corresp. Converse Converse Postulate10 30 50 70 90xTE7. Multi-Step ProblemGiven a b, m n, andm n2 3 4m. a. Prove ab. Prove ban. n.1 5 6a b18GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON3.6GA QCC: 12, 44Standardized Test PracticeFor use with pages 165­171GHSGT: 29, 43TEST TAKING STRATEGYRead each test question carefully. Always look for shortcuts that will allow you to work through a problem more quickly.6. Multiple Choicey1. Multiple Choice A DFind the slope of the line that passes through 5, 2 and 8, 1 . 11 3Which lines are parallel?B E1 2C1 3( 2, 7) ( 3, 5)(0, 6)2. Multiple ChoiceWhich equation of the line has a slope of 5 and passes through point 2, 1 ? y y y 5x 5x 11x 11 9 5B D(0, 3) ( 3, 2)1c(0, 0)2xA C Ey y5x 5x2 11A Daba b NoneB Eb c All 3Ca c3. Multiple ChoiceWhich equation of the line has a y-intercept of 6 and is parallel to 1 y 2? 2x y y y1 2x 1 2x7. Multiple ChoiceA C E6 6 6B Dy y1 2x 1 2x6 6A line k has equation 2 x 1. If k i and i passes through y 3 point 4, 1 , what is the equation of i? y y y2 3x 2 3x 2 3x 11 3A C EB Dy y2 3x3 2x 11 342x4 14. Multiple ChoiceWhich equation of the line passes through 3, 2 and is parallel to y 2x? 3A C EQuantitative Comparisony y y2 3x 2 3x 2 3x2 4 4B Dy y2 3x 2 3xIn Exercises 8 and 9, choose the statement below which is true about the given values.A B C DChapter 335. Multiple Choice A C EWhich of the following is an equation of a line parallel to 4y 8 3x? y y y3 4x 3 4x 4 3xThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column A Column B The slope of the line passing through 7, 3 and 11, 2 The y-intercept of the line passing through 1, 2 and 4, 16 1B Dy y4 3x2 48.3xThe slope of the line passing through 7, 5 and 4, 6 The y-intercept of 3 y 4x9.Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook19LESSON3.7GA QCC: 2, 9, 11, 12, 44, 46Standardized Test PracticeFor use with pages 172­178GHSGT: 43TEST TAKING STRATEGYDo not panic if you run out of time before answering all of the questions. You can still receive a high test score without answering every question.6. Multiple Choice1. Multiple Choice A DWhich is the slope of a line perpendicular to the line y 2x 6? 2 6B E1 2 1 6Which lines are perpenBdicular?AC1 2y y y y1 2x 1 2x 2 3x 3 2x6 1 3 1y y y y3x 5x 2x 1 2x1 33 3 22. Multiple Choice A C EWhich equation of a line is 2 1 perpendicular to y 5x 3? y y y5 2x 2 5x 5 2xCD3 3 6B Dy y5 2x2 3ENone of these3x7. Multiple Choice w: y n: y p: y z: y3 2x 2 3x 3 2x 2 3xWhich of the following statements are true about lines w, n, p, and z?2 6 3 13. Multiple ChoiceThe product of the slopes of two nonvertical perpendicular lines is ? . 0 2B EA D1C1 I. wA C ECannot be determined with given informationpII. n zIII. zB DpI only III only II and IIIII only I and II4. Multiple ChoiceA line k has equation 8 x 3. If k l and l passes through y 11 point 4, 3 , what is the equation of line l? y y y1 2 x. 11 8x 8 11 x 11 8x 5 2 5 2 17 2AB Dy yChapter 3C E8 1 11 x 11 11 17 8x 28. Multi-Step Problem a. On a coordinate plane, plot points A 2, 1and B 5, 2 .b. Find the equation of the line x passing5. Multiple ChoiceA line i has equation If i j and j passes through point y 6, 2 , what is the equation of j? y y y 2x 2x1 2xthrough points A and B.c. Find the equation of the line y, perpendicu-A C E14 10 10B Dy y2x 2x14 10lar to line x and passing through point A.d. Find the equation of the line z, parallel toline y and passing through point B.e. Critical ThinkingIf the bottom of a rectangle lies along line x, and its sides lie on lines y and z, find the slope of the line representing the top.20GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON4.1GA QCC: 10, 13Standardized Test PracticeFor use with pages 194­201GHSGT: 22, 29, 31TEST TAKING STRATEGYIf you find yourself spending too much time on one test question and getting frustrated, move on to the next question. You can revisit a difficult problem later with a fresh perspective.6. Multiple Choice1. Multiple Choice A B C D EA triangle with three acute angles and no congruent sides is ? . an equiangular triangle a right triangle an isosceles triangle an obtuse triangle an acute scalene triangle .Find the measure ofD C(3x 10)BCD.A B C D E50 120 60 160 2040AB(2x20)2. Multiple Choice A B C D EA triangle with side lengths of 5 cm, 3 cm, and 5 cm is ? an equilateral triangle an obtuse triangle an isosceles triangle an acute triangle a scalene triangle7. Multiple Choice A B C D EFind the measure of1.40 40 70 80 1 140 Cannot be determined Find the measure of 1.1 60 653. Multiple Choiceclassified asA B C D EThe triangle below can be ? .958. Multiple Choice A B C D E 9.acute isosceles acute scalene obtuse isosceles obtuse scalene right scalene ?50 90 60 30 85Quantitative Comparison4. Multiple Choiceclassified asA B C D EThe triangle below can be .Choose the statement below which is true about the given number. The value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.4acute isosceles acute scalene obtuse isosceles obtuse scalene right scalene35 35A B C DChapter 45. Multiple ChoiceAn isosceles triangle has a perimeter of 82 cm. The lengths of the legs of the triangle are represented by 3x 2 and 5x 14 . Find the length of the base of the triangle. 8 cm 30 cmB E3 125 1 30 2Column A m 1Column B m 2Geometry 21A D16 cm 52 cmC26 cmCopyright © McDougal Littell Inc. All rights reserved.Georgia Standardized Test Practice WorkbookLESSON4.2GA QCC: 10, 14, 16Standardized Test PracticeFor use with pages 202­210TEST TAKING STRATEGY1. Multiple Choice A C EOne of the best ways to prepare for the SAT is to keep up with your regular studies and do your homework.6. Multiple ChoiceXYZ, which If ABC of the following statements below is not true? B CBA BAC Y YXZBKGiven M C, find the value of x.K BB andAB ACXY XZ40ZXY D2x(3x5)2. Multiple ChoiceFIn the diagram, EFG HIJ. What is the measure of H?I65 35ML A CA D43 58B E40 29C82Quantitative ComparisonG J HEA D35 80 ? .B E65C70In Exercises 7 and 8, use the given information to find the indicated value. Choose the statement below that is true about the given value. The value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Given: ABCD EFGHA B C DC B A 2x100 50Cannot be determined3. Multiple ChoiceIn the diagram in ExerciseB E2, EGA DHI FG ZHJCJICannot be determined N and4. Multiple ChoiceGiven X O, find the value of x.NE8y F 18D32Y20 75H Z M(5x 10)GXColumn A7.Column B y m GHEOx m CBDA D19 85B E38 20C958.Chapter 45. Multiple Choice A DUse the diagram in Exercise 4 to find m Z. 19 85B E38 20C9522GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON4.3GA QCC: 6, 14, 15, 16Standardized Test PracticeFor use with pages 212­219GHSGT: 4, 22TEST TAKING STRATEGY1. Multiple ChoiceWork as quickly as you can through the easier sections, but avoid making careless errors on easy questions.Statementsa.Use the diagram below. Which additional congruence is correct to prove ABC DEF?D BReasonsa. 3.AECD CDE CDEb. AED c. ED ED d. AEDb. 4. c. 5. d. 6.AStatementsC F EReasonse. 7. f. 8. g. 9.e. B is the midpointA B C D EB E by SAS Congruence Postulate BC FE by SSS Congruence Postulate A D by SAS Congruence Postulate A or B B or Cof AD and EC. BC BE, AB BD g. ABE DBCf. 10. Multiple Choice2. Multiple ChoiceUse the diagram below. Which congruence is correct to prove XYZ JKL?X JIn rectangle ABCD, a diagonal is drawn from B to D. Which statement is not true? DAB AB BC CBD In ADB BCDB DA C EABD DB DBCDB11. Multiple ChoiceZ Y K LMNO and XYZ, MN XY and NO YZ. If the triangles are congruent, what else must be true? N MO Y XZB DA B C D EY K by SAS Congruence Postulate XY JK by SAS Congruence Postulate ZY LK by SAS Congruence Postulate A or B B or CA C EM A and CZAll of the above12. Multi-Step ProblemMultiple Choice Use the followingchoices to complete the proofs that ABE DBC and AED CDE. Given: B is the midpoint of EC and AD.A B C D EB A FCGiven A Def. of midpoint Reflexive Prop. of Congruence E SSS Congruence Postulate SAS Congruence PostulateC BDChapter 4E Da. Prove that b. Prove that c. Prove thatADF ACD BCDADB. AED. FED.Geometry 23Copyright © McDougal Littell Inc. All rights reserved.Georgia Standardized Test Practice WorkbookLESSON4.4GA QCC: 1, 6, 14, 15, 16Standardized Test PracticeFor use with pages 220­227GHSGT: 4, 22TEST TAKING STRATEGYDo not panic if you run out of time before answering all of the questions. You can still receive a high test score without answering every question.5. Multiple Choice1. Multiple Choice A B C D EWhich postulate or theorem can be used to prove that ABC BAD? SSS SAS A ASA AAS none of the aboveC DYou are given the following information about GHI and EFD. II. IV. H GH F EFG E I. III. I D V. GI EDBWhich combination cannot be used to prove that GHI EFD?A C EV, IV, II III, V, I none of the aboveB DII, III, V V, IV, I2. Multiple ChoiceEWhich postulate or theorem can be used to prove that EFG IHG?6. Multiple ChoiceG HFGiven that X D, and DE XW, what is the third congruence needDEC by ASA? ed to prove that XWY Y W C CB DAIY WE EC EA DSSS AASB ESAS C ASA none of the abovenone of the above7. Multiple Choice3. Multiple ChoiceWhat is the third congruence needed to prove that ABD CBD by AAS? AB BC ABD CBD AD DC DBA CDB A B or CBGiven that G E and I D, what is the third congruence needed to prove that GHI EFD by AAS? H HI F FDB DA C EHI EDED GIA B C D Enone of the above8. Multi-Step ProblemD C A C E O NIn the diagram, AB CD, CB DE, and AB CD.B D4. Multiple ChoiceWhat is the third congruence needed to prove that MNQ PNO by ASA? Q P M MNQ PNO M O M P Q QN NOChapter 4A B C D EABC CDE. b. Prove that C is the midpoint of AE.a. Prove thatP24 GeometryGeorgia Standardized Test Practice Workbook Copyright © McDougal Littell Inc. All rights reserved.LESSON4.5GA QCC: 14, 15, 16Standardized Test PracticeFor use with pages 229­235GHSGT: 22TEST TAKING STRATEGYMake sure that you are familiar with the directions before taking a standardized test. This way, you do not need to worry about the directions during the test. Multiple Choice In Exercises 5­16, usethe choices below to complete the proof that AG FE.A B C D E1. Multiple ChoiceWhich postulate or theorem can be used to prove that the triangles are congruent given M is the midpoint of KQ and KL PQ? SSS SAS ASA AAS AAAK M PA B C D EAlternate Interior Angles Theorem ASA Congruence Postulate s are Corresp. parts of . Vertical Angles Theorem Definition of CongruenceB C F GLQ A2. Multiple ChoiceWhich statement correctly describes the congruence of the triangles in Exercise 1? KML KLM KML KLM KML PQM PQM QMP PMQ PQMEA B C D EStatementsa.Reasonsa. Given3. Multiple ChoiceAfter proving the triangles congruent in Exercise 1, what reason could you give to prove KL PQ? Vertical Angles Theorem Reflexive Prop. of Congruence s are Corresp. parts of . ASA Definition of midpointA BA B C D Eb. c. d. e. f. g. h. i. j. k.AB GC, GB EC, AG BE, GF FC, AGB FEC BFG EFC BGF ECF BGF ECF BG EC ABG FGB m ABG m FGB, m BGF m ECF m ABG m ECF ABG ECF ABG FCE AG FE 1 3 and 2b. 5. c. 6. d. 7. e. 8. f. 9. g. 10. h. i. j. k.Sub. prop. of equality11. 12. 13.4. Multiple ChoiceYou want to prove BC AF. As a first step, which pair of triangles would F you prove congruent? ADF CDB ADF EDF BCD FED B or C Any of the above14. Multi-Step Problem a. Prove thatIn the diagram, 4.B C2DCA B C D EEAGC AGE. b. Prove that BCG FEG. c. Prove thatChapter 4A1 3G4DFECDGEDG.Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook25LESSON4.6GA QCC: 10, 16, 17Standardized Test PracticeFor use with pages 236­242TEST TAKING STRATEGYAvoid spending too much time on one question. Skip questions that are too difficult for you, and spend no more than a few minutes on each question.6. Multiple Choice Ax11 3x 11. Multiple Choice A B C D EWhat is the value of x?Solve for x and y.y3 5 7 9 11B2x 8C D45 3x 4 5x 22. Multiple ChoiceWhat is the length of a leg?A C EEx y x y x y x x120, 60 60, 60 30, 120 120, y 30 60, y 120x3 12 19B D17 137. Multiple Choice7x 8Solve for x and y. 55 110 110 145 145z x y w35A B C3. Multiple ChoiceWhat are the values of xand y?A B C D ED Ex x x x x70, y 55, y 70, y 70, y 55, yx x x x x72.5, y 72.5 35, y 35 35, y 110 55, y 55 110, y 35x358. Multiple ChoiceyUse the diagram in Exercise 7 to solve for w and z. w w w 145, z 70 110, 70 70, z 55B DA C Ew w110, z 145, z55 554. Multiple Choice A B C D EWhat is the value of x?9.30 60 90 100 Cannot be determinedQuantitative ComparisonUse the diagram B 3 to find the 30 2 missing values. C Choose the stateA 1 4 ment below that D F is true about E the given number. A The value in column A is greater. B The value in column B is greater. C The two values are equal. D The relationship cannot be determined from the given information. Column A m 1 Column B m 3x5. Multiple ChoiceChoose the reason the trian-gles are congruent.Chapter 4A B C D ESSS SAS AAS ASA Cannot be proven congruentGeometryGeorgia Standardized Test Practice Workbook26Copyright © McDougal Littell Inc. All rights reserved.LESSON4.7GA QCC: 14, 42, 43, 46Standardized Test PracticeFor use with pages 243­250GHSGT: 25TEST TAKING STRATEGYStaying physically relaxed during the SAT is very important. If you find yourself tensing up, put your pencil down and take a couple of deep breaths. This will help you stay calm.6. Multiple Choice A B C D E1. Multiple ChoiceAn isosceles right triangle has a vertex at 0, 0 and another at 0, 8 . If its legs are 8 units, what point below might be the third vertex? 8, 0 0, 8 All of the aboveB DWhat are the coordinates of the midpoint M? 40, 30 60, 40 30, 80 60, 30 30, 4010 y N(30, 80)Q(60, 80)A C E8, 0 A or BM2. Multiple ChoiceA rectangle with sides of 3 units and 6 units is placed on a coordinate plane. If one vertex is at 0, 0 , which set of points could be the other vertex points? 0, 6 , 6, 3 , 3, 6 3, 0 , 0, 6 , 3, 6 3, 0 , 3, 0 , 0, 3, 6 , 0, 6, 3, 6 6P(0, 0) R(30, 0)10 xA B C D EQuantitative ComparisonIn Exercises 7 and 8, use the diagram below. Choose the statement below that is true about the given value.A B C DAll of the above3. Multiple ChoiceA right triangle has legs of 8 units and 10 units. Use a coordinate plane to solve for the hypotenuse. 18 80B EThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.yA D4 5 3 2C2 41A(0, 6)B(4, 6) C (6, 4)4. Multiple ChoiceA rectangle with length h and width k is placed in a coordinate plane with one vertex at 0, 0 . What is a possible point for the vertex diagonal to 0, 0 ? 0, h h, kB EA Dh, 0 h, 0C0,k1O(0, 0)1D(6, 0)x5. Multiple ChoiceUse the diagram in Exercise 6 to find the length of MP. M is the midpoint of PQ. 25 30B EColumn A7. 8.Column BChapter 4AD OBBCCD OCA D50 125C40Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook27LESSONChapter 55.1GA QCC: 1, 15, 17, 18, 46Standardized Test PracticeFor use with pages 264­271GHSGT: 4, 29TEST TAKING STRATEGYMake sure that you are familiar with the directions before taking a standardized test. This way, you do not need to worry about the directions during the test.3. Multiple Choice1. Multiple Choice In the diagram, WY is the perpendicular bisector of AB. What is the value of x?AY7x 4 5x 6and OP In the diagram, KM PQ. Find PQ.O OQ,A B108 10 12 13 1531 2 16 10 5N13B C DL K M8C D EPAW3x10 BEQ2. Multiple ChoiceWhich diagram below allows you to conclude that C is on the perpendicular bisector of AB?C4. Multiple Choice AAIn the diagram, in  Exercise 3, KM bisects OKQ. Find LM. 8 13B E10 15C12I.II.DQuantitative ComparisonC A P B B C PIn Exercises 5 and 6, choose the statement below that is true about the given values.A B C DThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.  Given: MN is the perpendicular bisector of AB.N5z 4y 13 x 2III.APBA C EI only III only none of theseB DII only II and III62yO8 3z 127A2M1 x 2B5. 6.Column A AB AMColumn B NB MO28GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON5.2GA QCC: 17, 18Standardized Test PracticeFor use with pages 272­278GHSGT: 20Chapter 5TEST TAKING STRATEGY1. Multiple ChoiceWork as quickly as you can through the easier sections, but avoid making careless errors on easy questions.5. Multiple ChoiceComplete the statement so that it is true. &quot;The point of concurrency of the ______ of a triangle is called the ______ of the triangle.&quot; perpendicular bisectors; incenter perpendicular bisectors; circumcenter angle bisectors; circumcenter angle bisectors; inscribecenter A and Cbisectors ofA B C D EIn the diagram, the angle ACE meet at point G. Find GD.B A G51 2 3 4 5FCA B C D ED4E6. Multiple Choice 2. Multiple Choicecircumcenter ofA B C D EIn the diagram, P is the ABC. Find the value of x.Bangle bisectors of Find NP.A BIn the diagram below, the KLM meet at point N.L1 3 9 15 21A D P F10 25 20 31 15K25OEC DCNPEQ 40MGiven: PB3. Multiple Choice15; PC3x67. Multi-Step ProblemThe point of concurrency of the three perpendicular bisectors of an obtuse triangle is ? the triangle. always inside always on sometimes outsideB DA city is planning a new recreational park. They want to locate the new park so that it is equidistant from three large apartment complexes. is looking for?A C Ealways outside sometimes insidea. What term best describes the point the city b. The three apartment complexes would be4. Multiple ChoiceThe point of concurrency of the three angle bisectors of a right triangle is ? the triangle. always inside always on sometimes onB Dlocated at 4, 5 , 2, 1 , and 6, 1 on a coordinate plane. Plot the points and draw the perpendicular bisectors of the triangle formed.c. What are the coordinates of the best posi-A C Ealways outside sometimes insidetion for the new park?d. If each unit on the coordinate plane is1 mile, how far is each apartment complex from the park?Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook29LESSONChapter 55.3GA QCC: 1, 15, 17, 18, 43, 46Standardized Test PracticeFor use with pages 279­285GHSGT: 4TEST TAKING STRATEGYIt is important to remember that your SAT score will not solely determine your acceptance into a college or university. Do not put added pressure on yourself to do well. If you are not satisfied with your SAT score, remember that you can take it again.6. Multiple Choice1. Multiple ChoiceIn the diagram, C is the centroid of XYZ, UY XZ, CW 3, and CZ 8. Find CX. 3 6 9 8 12Z W U C Y X VA B C D EComplete the statement to make a true statement. &quot;The three altitudes of an obtuse triangle ? intersect ? the triangle.&quot; always; inside sometimes; inside always; outside sometimes; outside never; outsideA B C D E2. Multiple Choice A D16 3Use the diagram in Exercise 1. Find VZ.B EQuantitative Comparison84 16C12In Exercises 7­9, use the diagram below. Point C is the centroid of DEF, CH 6, GE 10, and GF 15. Choose the statement below that is true about the given value.E3. Multiple Choice A B C DIn the diagram in Exercise 1, if XU UZ, then UY is ? . an altitude a perpendicular bisector a median an angle bisectorED G C Hall of theseA B C DIFThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column A DE GC CE Column B DH CF CD4. Multiple ChoiceWhat are the coordinates of the centroid of a triangle whose vertices are A 3, 1 , B 7, 3 , and C 5, 7 ? 5, 11 3 6,8 3A DB E5, 16 3 6,11 3C5, 25. Multiple Choice A B C D E30What is the area ofBABC?50 48 51 42 320AGeometry 6 20 177. 8. 9.16CCopyright © McDougal Littell Inc. All rights reserved.Georgia Standardized Test Practice WorkbookLESSON5.4GA QCC: 17, 18, 43Standardized Test PracticeFor use with pages 287­293GHSGT: 35Chapter 5TEST TAKING STRATEGYDo not panic if you run out of time before answering all of the questions. You can still receive a high test score without answering every question.5. Multiple Choice1. Multiple Choice A B C D EIn the diagram, UV and WU are midsegments of XYZ. Find WX. 5 10 15 4 8Z U5perimeter ofA B CUse the diagram to find the L KLM.XWY60 120 150 180 240K B15O25PV 8D EM2. Multiple ChoiceUse the diagram in ExerciseB E6. Multiple ChoiceUse the diagram below toL1 to find WU.A Dfind FG.F K5x 75 410 8C15G E12x 83. Multiple ChoiceyFind the coordinates of the endpoints of the midsegment parallel to AB.B(4, 7)A B C4, 2 , 3, 4 3, 4 , 5, 5 3, 4 , 4, 7 4, 2 , 4, 7 4, 2 , 5, 5A DM3 44B E6 7C22C(6, 3)1 1D EQuantitative ComparisonA(2, 1)xIn Exercises 7 and 8, use the diagram below. BD, DF, and BF are midsegments of ACE. BC 10, AE 12. Choose the statement below that is true about the given value.A B C D4. Multiple ChoiceGiven the midpoints of a triangle are 7, 4 , 5, 6 and 8, 7 , which coordinates below are the vertices? 6, 9 , 5, 4 , 11, 6 5, 4 , 10, 5 , 6, 9 4, 3 , 10, 5 , 6, 9 4, 3 , 7, 9 , 11, 5 4, 3 , 6, 9 , 11, 6The value in column A is greater. The value in column B is greater. The two values are equal.A BC10A B C D EDThe relationship cannot be determined from the given information. Column A BD The perimeter of CDBF 12E7. 8.Copyright © McDougal Littell Inc. All rights reserved.Column B BF The perimeter of DEFGeometry 31Georgia Standardized Test Practice WorkbookLESSONChapter 55.5GA QCC: 1, 2, 15, 17, 18, 46Standardized Test PracticeFor use with pages 295­301GHSGT: 4TEST TAKING STRATEGY1. Multiple ChoiceRead each test question carefully. Always look for shortcuts that will allow you to work through a problem more quickly.5. Multiple ChoiceUse the diagram below to determine which statement is true.I60Which statement belowyis false?m xn z n2wH3585AJm x &lt; m y m x m y &gt; m w m y &lt; m w m x &lt; m w m w &gt; m z Use the diagram to solve BC &gt; AC.B4x 3x 2 5B C D EA B C Dm H &lt; m J &lt; m I HI &lt; HJ &lt; JI JI &lt; HJ &lt; HI HJ &gt; HIEm I &gt; m H6. Multiple Choice2. Multiple Choice A B C D EWhich is the shortest side?B45the inequality ABA B C DAC AB BC A or C cannot be determinedx &gt; 0 x &lt; x &lt; 0 x &gt; 10 x &gt; 4A4C6x 365CEAQuantitative Comparison3. Multiple ChoiceList the sides in order fromE60longest to shortest.A B C D EGF, EF, EG EG, GF, EF EF, EG, GF EF, GF, EG EG, EF, GFGIn Exercises 7 and 8, use the diagram below. Choose the statement that is true about the given value.B40 3540FADCA B C DThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column A AB BC Column B AD DCCopyright © McDougal Littell Inc. All rights reserved.4. Multiple ChoiceA triangle has two sides that have lengths of 8 cm and 14 cm. Which length below could not represent the length of the third side? 7 cm 22 cmGeometryGeorgia Standardized Test Practice WorkbookA D32B E13 cm 15 cmC18 cm7. 8.LESSON5.6GA QCC: 17, 18Standardized Test PracticeFor use with pages 302­308GHSGT: 29Chapter 5TEST TAKING STRATEGYWhen checking your work, try to use a method other than the one you originally used to get your answer. If you use the same method, you may make the same mistake twice.4. Multiple Choice1. Multiple ChoiceUse the diagram to determine which of the following is a possible length for AC.A15 50 45Use the diagram below and the given information to choose the conclusion that is true.A BDGiven: AB ED AC &gt; CDAEm A &gt; m D m D &gt; m A m A &gt; m E m B &gt; m D m A &lt; m EE D CCB FBA D10 15B E12 17C13C D E2. Multiple ChoiceIn the diagram, which of the following is not a possible measure for DCB?C5. Multiple ChoiceUse the diagram and the Hinge Theorem to choose the inequality that correctly describes the restriction on the value of x.10 60 50 1035A15D13B3x2A D27 20B E30 34C35A2x6x &gt; 4 x &lt; 2B Ex &lt; 4 x &gt; 2Cx &lt;8 33. Multiple ChoiceUse the Hinge Theorem and the diagram below to choose the statement which must be true.12 3 1 4 10 2D6. Multi-Step Problem a. Sketch an acute triangle ABC withm A45 and m C55 . BCD. ABC?b. Draw an exterior angle adjacent to BCwith vertex at C, and label itc. Determine m BCD. d. What is the shortest side ofA B C D Em 1 &gt; m 3 m 1 m 2 m 1 &gt; m 2 m 1 &lt; m 2 m 4 &gt; m 2e. Use your diagram as a reference to writethe first statement of an indirect proof of &quot;the measure of an exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles.&quot;GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.33LESSON6.1GA QCC: 1, 2, 10, 18Standardized Test PracticeFor use with pages 322­328GHSGT: 4, 29, 30TEST TAKING STRATEGYDo not panic if you run out of time before answering all of the questions. You can still receive a high test score without answering every question.6. Multiple Choice A1. Multiple ChoiceWhich figure below is a III.Find m A.A B 165 C30polygon? I.Chapter 665 135 100 90 10565II.B CA C EI only III only none of theseB DII only I and IIID ED7. Multiple ChoiceFind the value of x.(5x 5) A (2x 10)2. Multiple ChoiceA polygon with 7 sides is .B DA B C D E40 10 45 30 70Bcalled aA C E?Dnonagon heptagon decagondodecagon hexagon55C3. Multiple ChoiceAn octagon has how many8. Quantitative Comparison B Esides?A D5 86 9C7Choose the statement below that is true about the given value. Given: ABCF EDCF The value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.A801 y 2 F 100A B C D4. Multiple ChoiceThe figure below is a?A B C D E.convex hexagon convex heptagon concave heptagon concave hexagon concave pentagon The polygon below is best .B(30)D35C5. Multiple Choicedescribed asA B C D E34?2xEan equilateral pentagon an equiangular pentagon a regular pentagon an equilateral hexagon an equiangular hexagonGeometryGeorgia Standardized Test Practice WorkbookColumn A xColumn B yCopyright © McDougal Littell Inc. All rights reserved.LESSON6.2GA QCC: 1, 15, 17, 18, 19, 46Standardized Test PracticeFor use with pages 330­337GHSGT: 4, 29, 30TEST TAKING STRATEGYIf you find yourself spending too much time on one test question and getting frustrated, move on to the next question. You can revisit a difficult problem later with a fresh perspective.6. Multiple Choice1. Multiple Choicelelogram must beA C EOpposite angles of a paral? .B Dcomplementary congruent B and Csupplementary A and CWhat are the values of x and y?5y12x4y7Chapter 63y6A 2. Multiple Choicex x x12, y 8, y 15, y6 15 8B Dx x6, y 4, y12 8What are the values of the variables in parallelogram ABCD?A 3x120 CC EB2y7. Multiple ChoiceDThree coordinate points of a parallelogram are 2, 1 , 4, 4 , and 7, 4 . Find the fourth vertex. 5, 1 5, 7B EA A C E2, 7 1, 7C5, 4x x x40, y 60, y 40, y60 20 30B Dx x30, y 20, y40 60D8. Quantitative Comparison3. Multiple Choice A C EWhat is the length of LP?L20Use the information given. Choose the statement below that is true about the given value. The value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.4 8 20B D5 10M PA B45CNOD4. Multiple ChoiceIn the parallelogram in Exercise 3, what is the length of MN if the perimeter is 70 units? 20 units 10 units 50 unitsB DGiven: ABCD, DEFG, and FHIJ are parallelograms.C G B D F I HA C E15 units 30 units5. Multiple Choice A B C D EWhich statement is not always true about parallelogram WXYZ? VX XY WY VZ WZ YZWZ Y W V XAEJColumn A m CColumn B m EWXY XZ WXZXZYGeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.35LESSON6.3GA QCC: 6, 17, 18, 19, 46Standardized Test PracticeFor use with pages 338­346GHSGT: 4, 29, 30TEST TAKING STRATEGYRead each test question carefully. Always look for shortcuts that will allow you to work through a problem more quickly.4. Multiple Choice A C EC1. Multiple ChoiceWhich additional piece of information do you need to prove ABCD is a parallelogram? AB AD AB DC BC DCD A E BWhat value of x will make the quadrilateral a parallelogram? 5 50 60B D10 40(x20) 3xAChapter 6B C D EA or B B or C5. Multiple ChoiceGiven that AED CEB, ABCD would be a parallelogram because ? .A E B C D2. Multiple ChoiceWXYZ is a quadrilateral. Which information would not allow you to conclude that WXYZ is a parallelogram? WX W WX WZ WZ ZY, WZ Y, ZY, WZ XY, WX X XY ZY XY ZA B C D EA B C D Eboth pairs of opposite sides are parallel the diagonals bisect each other both pairs of opposite sides are congruent both pairs of opposite angles are congruent one pair of opposite sides is congruent and parallelXY, WZ XY3. Multiple ChoiceTo prove that ABCD is a parallelogram, you would have to first prove ACD CAB using the ? .A B6. Multi-Step ProblemConsider the four points A 5, 4 , B 6, 2 , C 3, 1 , and D 8, 5 . showing that opposite sides are parallel.DCa. Show that ABCD is a parallelogram by b. Show that ABCD is a parallelogram byA B C D ESAS Congruence Postulate SSS Congruence Postulate AAS Congruence Postulate ASA Congruence Postulate none of theseshowing that opposite sides are congruent.c. Show that ABCD is a parallelogram byshowing that the diagonals bisect each other. Label the intersection of diagonals AB and CD point E.36GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON6.4GA QCC: 17, 18, 19Standardized Test PracticeFor use with pages 347­355GHSGT: 30TEST TAKING STRATEGYWhen checking your work, try to use a method other than the one you originally used to get your answer. If you use the same method, you may make the same mistake twice.6. Multiple Choice1. Multiple ChoiceWhat special type of quadrilateral has the vertices A 2, 1 , B 2, 3 , C 2, 1 , and D 2, 3 ? rhombus rectangle none of these WXYZ is a rhombus. What(3xIn rectangle ABCD, AB 1 x 6 and CD 5x 2. Find the 2 2 value of x. 4 2B E3 4 3 3A C EB Dsquare parallelogramA DC5Chapter 67. Multiple Choice2. Multiple Choiceis the value of x?(8x (5x 3) 6) 12)The perimeter of a square MNOP is 72 inches, and NO 2x 6. What is the value of x? 15 9B EA D12 18C68. Multiple Choice B EKLMN is a rectangle. Find the values of x and y.N3y 21A D92 33 1C4M5y (2x 10) 113. Multiple ChoiceIn the diagram below, PQRS is a rhombus. What are the values of x and y? x x x x x5 3,KLA Cx x x50, y 40, y 50, y16 16 4B Dx x40, y 50, y5 5A B C D Ey4 2 4 6 6x S5P5, y 10, y 5, y 10, yEy Q2x8R4. Multiple Choicerectangle must A bisect each otherC EThe diagonals of a ? .B DQuantitative Comparison In the diagram, ACEG is a D rhombus, BDFH is a rectangle, and B ACE is an I equilateral A E triangle. For Exercises 9 and 10, choose a statement below that is true about the given value. F HA B C DCbe perpendicular A and BThe value in column A is greater. The two values are equal.Gbe congruent A and CThe value in column B is greater. The relationship cannot be determined from the given information. Column B m ICD GFGeometry 375. Multiple Choice A C EIf a quadrilateral has four equal sides, then it must be a ? . rectangle rhombus B and CB Dsquare A and B9. 10.Column A m BAI BCCopyright © McDougal Littell Inc. All rights reserved.Georgia Standardized Test Practice WorkbookLESSON6.5GA QCC: 17, 18, 19Standardized Test PracticeFor use with pages 356­363GHSGT: 30TEST TAKING STRATEGYStaying physically relaxed during the SAT is very important. If you find yourself tensing up, put your pencil down and take a couple of deep breaths. This will help you stay calm.5. Multiple Choice A C EN M1. Multiple Choiceand NM areA?In trapezoid KLMN, KL .K LFind the length of KL in the trapezoid below. 22 13 27B Dlegs bases consecutive angles diagonals none of these4 17H NK4x 5x1 2 27L I MChapter 6B C D E6. Multiple Choice2. Multiple ChoiceIn the isosceles trapezoidA110ABCD, find m B.A B C D EWhat special type of quadrilateral has the vertices A 6, 3 , B 2, 5 , C 3, 2 , and D 5, 6 ? square rhombus kiteB D110 55 70 60 140BDA C ECrectangle trapezoid7. Multiple Choice3. Multiple ChoiceWhich statements below must be true if ABCD is an isosceles trapezoid with a leg AD? I. AB DC BC III. AB IV. ADB DThe midsegment of a trapezoid is 9 cm long. What choice below is not a possible choice for the lengths of the bases? 2, 16 6, 12B EA D5, 4 5, 13C8, 10DC BC I and IV II and IV8. Quantitative ComparisonII. ADA C EI and III II and III I, II, and IIIIn the diagram, DEFG is a kite. Choose the statement below that is true about the given value. The value in column A is greater. The value in column B is greater. The values are equal. The relationship cannot be determined with the given information. Column B yD2yA B C D4. Multiple Choice A B C D EABCD is a trapezoid. Find the length of midsegment EF. 5 11 16 8 2211A E13Column A xB7D F 9G x FxE5 25C38GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON6.6GA QCC: 17, 18, 19Standardized Test PracticeFor use with pages 364­370GHSGT: 29TEST TAKING STRATEGYAvoid spending too much time on one question. Skip questions that are too difficult for you, and spend no more than a few minutes on each question.5. Multiple Choice1. Multiple Choicemost specifically aA B C D EThe quadrilateral below is ? .Which statements below are always true about a rectangle? I. Both pairs of opposite angles are congruent. II. The diagonals are perpendicular.Chapter 6rhombus rectangle kite parallelogram trapezoidIII. Both pairs of opposite sides are congruent.A DI I and IIIB EIICIII2. Multiple ChoiceA quadrilateral with at least two sides parallel and two congruent sides might be ? . a rhombus an isosceles trapezoid a kite A or B none of thesenone of these6. Multiple ChoiceA B C D EWhich statements below are always true about a trapezoid? I. Exactly one pair of opposite sides are congruent. II. Exactly one pair of opposite sides are parallel.III. The diagonals are congruent.A D3. Multiple ChoiceWhat kind of quadrilateral would meet the conditions of the diagram? ABCD is not drawn to scale. kite rhombus trapezoid square parallelogramD C A BI I and IIB EIICIIInone of these In the diagram, DEFG ABC is regular.BA B C D E7. Multi-Step Problemis a rectangle andDE4. Multiple Choice A C EWhat value of x would make quadrilateral ABCD a trapezoid? 30 25 10(5x D 20)A BGFC2 3yB D20 35A3xa. If GE10y 2 and DF the value of y.12, findb. If the midsegment of trapezoid DECG is 5Cinches, DE 3x 2, and GC find the value of x.c. Prove that8x3,ADGCEF.Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook39LESSON6.7GA QCC: 1, 2, 18, 19, 32, 37Standardized Test PracticeFor use with pages 372­380GHSGT: 4, 20, 26, 27, 35TEST TAKING STRATEGY1. Multiple Choice A COne of the best ways to prepare for the SAT is to keep up with your regular studies and do your homework.6. Multiple Choice A2Find the area of a square with a perimeter of 30 cm. 225 cm2 30 cm2The area of the kite is 160 square inches. Find the length of BD. 10 in. 20 in. 8 in. 16 in. 32 in.C D10B D15 cm2 56.25 cmAB CChapter 6E60 cm2 Find the area ofC2. Multiple Choice A B C D EABC.D EB17.5 square units 7.5 square units 30 square units 15 square units 9 square units57 67. Multiple ChoiceFind the area of a trapezoid with vertices at A 0, 0 , B 2, 4 , C 6, 4 , and D 9, 0 . 26 square units 52 square units 18 square unitsB DA3BA C E13 square units 36 square units3. Multiple ChoiceFind the base length of a triangle with an area of 52 cm2 and a height of 13 cm. 8 cm 2 cmB EA D16 cm 26 cmC4 cm8. Multi-Step ProblemA doll house is sketched below. There is no back to the house or roof, but there are sides to both. windows and the doors).4. Multiple ChoiceFind the area of parallelogram EFGH.E F15 8 14a. Find the area of the walls (including the b. Find the area of the window openings.The window above the door consists of 5 congruent isosceles triangles.c. Find the area of the roof.HGA C E75 square units 120 square units 60 square unitsB D112 square units 56 square units1.5 ft 6 in. 3 in. 6 in. 3 in.5 ft 1.5 ft 6 in. 3 in. 6 in. 3 in. 6 ft1.6ft2 ft 2 ft 4 in. 2 in.5. Multiple Choice A C E2 3The area of the rectangle is 60 square units. Find the value of x.B D40 72x11 x 259 840GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.CHAPTER6? .A C ECumulative Standardized Test PracticeFor use after Chapters 1­61. Multiple Choice  XY and WY intersect atB D6. Multiple Choice A B C D EWhat is the converse of &quot;If there is ice on the lake, then it is cold?&quot; If there is not ice on the lake, then it is not cold. If it is cold, then there is ice on the lake. If it is not cold, then there is not ice on the lake. There is ice on the lake if and only if it is cold. none of theseChapter 6point X point W none of thesepoint Y WX2. Multiple ChoicePoint B is between A and C. Use the Segment Addition Postulate to solve for x when AB 5x 2, AC 12x 7, and BC 26. 1 4B EA D2 5C37. Multiple Choice3. Multiple ChoiceFind the measure ofABD.A B C D EWhich of the following is true about the conditional statement. &quot;If m 1 40 and the m 2 50 , then the angles are complementary.&quot; The statement is true.30 60 90 120 150I.A120 30II. The biconditional is true.D CIII. The converse is true.A DI I and IIB EII I and IIICIIIB4. Multiple Choice AB bisectsC(4xCAD. Find8. Multiple ChoiceIn HIJK, HKHIJ. What isI7x 2the value of x.A B C D Ethe value of x?A2 4 6 8 10A1 2 2.5 3 3.55x2)B C D3B(3x 6)KJDE5. Multiple Choice A B C D EFind the value of y.9. Multi-Step Problem30 35 85 22 55(3y 5) 85Let p be &quot;You stay up late,&quot; q be &quot;You are tired&quot; and r be &quot;You are cranky.&quot;a. Write p  q in words. b. Write q  r in words. c. Write the contrapositive of p  q in wordsand symbols.d. WritingUse the Law of Syllogism and the statements from parts (a) and (b) to write a new conditional statement.Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook41CHAPTERCONTINUED6Cumulative Standardized Test PracticeFor use after Chapters 1­610. Multiple ChoiceSolve x 12 24, then choose the property that applies to the required step. Substitution property of equality. Division property of equality. Subtraction property of equality. Distributive property of equality. Reflexive property of equality.14. Multiple ChoiceFind the value of x whent(4x 65 3)a b.A B C D E15 16 17 18 19A B Ca bChapter 6D E15. Multiple Choice 11. Multiple Choice A DTwo angles are supplementary. If m 1 is 67 , what is m 2? 67 134B EWhat value of a would make lines x and y parallel? 29 36 7 14 58t5a 145A B C D E23 113C46x y12. Multiple Choice A B C D ESolve for x and y. 24 412 3 31.67 5(x 30 28.3 4 and 5(3y 4) 15)x x x x x21.25, y 25, y 22, y 25, y 24, y16.3(x 10)Choose the statement below that is true. A The value in column A is greater.B C DQuantitative ComparisonThe value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column A Slope of the line 5x 2y 12 Column B Slope of the line perpendicular to y 2 x 6 3 1.13. Multiple ChoiceIn the diagram, are what type of angles?1 3 2 4 5 7 6 8A B C D Ecorresponding angles alternate interior angles alternate exterior angles consecutive interior angles consecutive exterior angles17. Multiple Choice A B C D EFind the measure of32 132 35 90 58 553542GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.CHAPTERCONTINUED6ZCumulative Standardized Test PracticeFor use after Chapters 1­618. Multiple ChoiceX15Given X C, find the value of x.AA and22. Multiple ChoiceA right triangle has legs of 24 units and 18 units. The length of the hypotenuse is ? . 15 units 45 units 32 unitsChapter 6B DA3530 units 15.9 unitsC E CZY(5x15)BCA D25 30B E27 352923. Multiple Choice In the diagram, CD is the perpendicular bisector of AB. What is the value of x? 2.43 3 2.5 2 7A D 15 B3(x 8) 7x 419. Multiple ChoiceWhich postulate or theorem can be used to prove that ABC DCB? SSS SAS ASA AAS none of theseA C B DA B C D ECA B C D E24. Multiple Choice In the diagram, AD bisects CAE. Which statements below are true? BG BC I II III I and III none of these In the diagram, C is the cirXYZ. Find the value of XC.Y M C X2x 15I.20. Multiple ChoiceGF FE DEA F B GCWhich postulate or theorem can be used to prove that   MNO KNL if MO LK? SSS SAS HL AASO N K M LII.A B C D EIII. CDA B C D EDEnone of these What are the values of x 5 5 4 19 193y 37 721. Multiple Choice25. Multiple Choiceand y?A B C D Ecumcenter of 37, y 106, y 54, y 106, y 37, yx2y 12x x x x xA B C D E1 2 3 4 5O3x10NZCopyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook43CHAPTERCONTINUED6Cumulative Standardized Test PracticeFor use after Chapters 1­626. Multiple ChoiceIn the diagram, BD and BF are midsegments of ACE. Find BD and CE.C B D29. Multiple ChoiceWhat are the values of x 8 8 436 3y 6 2(y 1) 3xand y?A B Cx x x x x12, y 10, y 12, y 8, y 10, yChapter 6A6D E4 7F 15E30. Multiple Choice A B C D EBD BD BD BD BD7.5, CE 7.5, CE 7.5, CE 15, CE 8, CE18 6 12 6 12What value of x will make the quadrilateral a parallelogram? 5 10 15 20 25(3x 20) (5x )A B C D E27. Multiple ChoiceUse the Hinge Theorem and the diagrams below to choose the statement which must be true.4 3 15 17 2 131. Multiple ChoiceThe perimeter of a square is 68 m. If one side is represented by 3x 2, what is the value of x? 3 6B EA D5 10C4Quantitative ComparisonA C Em 1 &gt; m 2 B m 1 &gt; m 3 D m 4 &gt; m 2m 1 &lt; m 3 m 2 &lt; m 4In Exercises 32 and 33, choose the statement below that is true about the given statement.A BThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column AA10 828. Multiple Choice A B C D EFind the value of x.(5x 28) 95 (3x 10) 75C D15 16 18 19 21Column BB9E9 9.210F8DCH12G32. 33.44 GeometryGeorgia Standardized Test Practice WorkbookThe area of ABCD The perimeter of ABCDThe area of EFGH The perimeter of EFGHCopyright © McDougal Littell Inc. All rights reserved.LESSON7.1GA QCC: 38, 40, 41Standardized Test PracticeFor use with pages 396­402GHSGT: 22TEST TAKING STRATEGYSketch graphs or figures in your test booklet to help you solve the problems. Even though you must keep your answer sheet neat, you can make any kind of mark you want in your test booklet.4. Multiple Choice1. Multiple ChoiceWhich of the statementsbelow are true? I. Rigid transformations are isometries. II. Three types of transformations are reflections, rotations, and transcriptions. III. Isometries preserve distances between points.A C EName the type of transformation and the coordinates corresponding to point A .yABI II and III None of theseB DI and II I and IIIA BC1 1 xreflection in line x reflection in line x reflection in line x translation in line x1, 3, 4 0, 3, 4Chapter 72. Multiple ChoiceWhich of the following isBC D Erotation about 1, 0 , 6, 4 1, 6, 4 1, 6, 4not an isometry?AQuantitative ComparisonC DIn Exercises 5 and 6, use the isometry of the kite to find the value of the variables. Choose the statement below that is true about the values.AThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.B1 z 2ENone of these Name the preimage of MN.M L C B D F E A N P Q OB C D3. Multiple Choice A B C D EAB BC CD DF FA20 2y2 w 5N (3x10 110 O35)A95CQDP5. 6.Column A x wColumn B y zCopyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook45LESSON7.2GA QCC: 38, 40, 41, 46Standardized Test PracticeFor use with pages 404­410GHSGT: 22TEST TAKING STRATEGY1. Multiple ChoiceWork as quickly as you can through the easier sections, but avoid making careless errors on easy questions.6. Multiple ChoiceWhich choice below is a reflection of the figure in line h?hB 6, ACA DGiven that A 2, 4 and 2 , find point C on the x-axis so that BC is a minimum.B E0, 4 4, 00, 5 5, 0C3, 0AB7. Multiple Choice C DGiven that the diagram shows a reflection in line m, find the values of x and y. x x x x x 10, y 10, y5 2, 5 2, 3 2A E121 x 2None of these If A 3, 2 is reflected in 3, then the coordinates of A areB EB C43 2y ym8y 5 132. Multiple ChoiceChapter 7the line x ? .A DD E413 86, y0,2 3, 23, 0, 12C3, 18. Multi-Step ProblemyB(5, 6)3. Multiple Choicein the line y are ? .A C EIf B 2, 1 is reflected 3, then the coordinates of BBA(1, 4)4, 5 2, 2, 7 12, 5 8, 51 1DC(3, 1)xa. Draw and label 4. Multiple Choice A B C D EUse the diagram below to complete the statement: GHI  ? . NOP KPO LKP KLM ONMF J E G H I P O N L K Mreflection ofc. Draw and labelA B C , which is the ABC in the x-axis.b. Name the image of AB.reflection of x 2.A B C , which is the ABC in the y-axis. ABC in the lined. Draw the reflection ofe. Find the midpoint of AA .5. Multiple Choice A C E46How many lines of symmetry does the polygon have? 0 2 4GeometryGeorgia Standardized Test Practice Workbook Copyright © McDougal Littell Inc. All rights reserved.B D1 3LESSON7.3GA QCC: 1, 38, 40, 41, 46Standardized Test PracticeFor use with pages 412­420GHSGT: 4, 22TEST TAKING STRATEGY1. Multiple ChoiceMake sure that you are familiar with the directions before taking a standardized test.5. Multiple ChoiceUse the figure below to determine which segment represents a 90 clockwise rotation of AB about P. BC CD DE AH HGA P H G F E D B CFind the angle of rotationA Bthat maps ABC onto A B C .A B C D EA B C D E60 30 120 180 None of theseA60C C Cm A B B k6. Multiple Choice 2. Multiple Choice A B C D EWhich description of a rotation would map the figure below onto itself? clockwise 45 clockwise 90 clockwise 180 counterclockwise 45 none of these7.ABC has vertices A 2, 1 , B 3, 2 and C 5, 1 . What are the coordinates of the vertices of A B C after a rotation of 180 clockwise about the origin? A 2, A A A 2, 2, 2, 1 ,B 1 ,B 1 ,B 3, 3, 3, 2 ,C 2 ,C 2 ,C 5, 1 5, 1Chapter 7A B C D E5, 5, 11A 2, 1 , B 3, 2 , C 5, 1 1 , B 3, 2 , CMultiple Choice Use the figure below for Exercises 3 and 4. State the segment or triangle that represents the image.A I H M L G F B N Q P J O K E D CQuantitative ComparisonUse the diagram below to find the value of each variable in the rotation of the polygon about point P. Choose the statement below that is true about the values. The value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.y6 12A B C Dm1 w 53. A 90 clockwise rotation of HI about Q. A D8LF BJB EHL JDCKO96x P2 z 3254. A 90 counterclockwise rotation of QO about P. A DQN OKB EMQ LMCLPColumn A yColumn B zCopyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook47LESSON7.4GA QCC: 38, 40, 41, 42, 46Standardized Test PracticeFor use with pages 421­428GHSGT: 22TEST TAKING STRATEGYIf you find yourself spending too much time on one test question and getting frustrated, move on to the next question. You can revisit a difficult problem later with a fresh perspective.4. Multiple Choice( 6, 4) P1. Multiple ChoiceThe translation &quot;5 units to the left and 3 units up&quot; in coordinate notation would be ? . x, y  x x, y  x x, y  x x, y  x x, y  x 5, y 5, y 5, y 3, y 3, y 3 3 3 5 5Name the vector that describes the translation.yA B C D ES( 3, 3) 3 Q P (0, 1) ( 9, 1) (3, 0) R 1 Q x ( 4, 0) S R ( 3, 2) (2, 3)2. Multiple ChoiceChoose the notation below that describes the translation.yA C E6, 3, 6 6, 33B D6, 3 3, 6Chapter 75. Multiple Choice1 1 xThe coordinates of JKL are J 1, 2 , K 2, 1 , and L 2, 1 . The component form of MN is 3, 4 . What are the coordinates of J K L after the translation using MN ?\ \A B C D Ex, y  x x, y  x x, y  x x, y  x x, y  xAJ J 2, J 2, J 2, J4,2 , K 1, 2 , K 1, 2 , K 1, 2 , K 1,3 , L 5, 3 , L 5, 3 , L 5, 5 , L 5, 5 , L 5,\5 3 5 3 33, y 3, y 4, y 4, y 4, y4 4 3 3 36.B C D E4,2 , K 1,3. Multiple Choice\Choose the correct name and component form of the vector shown. JH , 3, 4\Quantitative ComparisonA B C D EJH ,\3, 4, 3,4 3 4HJA translation of A and B is described by NM 7, 2 . Solve for the indicated variable. Choose the statement below that is true about the value of the variable.&lt; &gt;JH ,\ \A B C DThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column A A 3, x , A 4, 4 Column B B y, 5 , B 10, 7HJ , 3, 4 HJ ,48GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON7.5GA QCC: 38, 40, 41, 42, 46Standardized Test PracticeFor use with pages 430­436GHSGT: 22TEST TAKING STRATEGY1. Multiple ChoiceOne of the best ways to prepare for the SAT is to keep up with your regular studies and do your homework.3. Multiple ChoiceWhich two transformations were performed to obtain A B in the diagram?ByUsing the composition below, what are the coordinates of the endpoints of A B ?BA1 1AxGiven: A 1, 3 , B 2, 5 Rotation: 90 counterclockwise about 1, 2 Reflection: in y xAA 0, 0 , B 1, A 2, 1 , B A 2, 1 , B A 0, 0 , B2 4, 0 4, 0 1, 2Chapter 7BB CAD EA 2, 1 , B 4, 0A B C D ERotate about the origin, then reflect in x y. Reflect in the x-axis, then translate parallel to x-axis. Reflect in the line x parallel to x 1. Reflect in the line y parallel to y 1. Translate parallel to x in line x 1. 1, then translate 1, then translate 1, then reflect4. Multiple ChoiceTranslation 1 maps A to A . Translation 2 maps A to A . What translation below maps A to A ? 2, y 7, y 6 12 12 6 6Translation 1: x, y  x Translation 2: x, y  xA B C D Ex, y  x x, y  x x, y  x x, y  x x, y  x5, y 5, y 5, y 9, y 9, y2.Quantitative ComparisonUse the composition to locate points A and B . Choose the statement below that is true about the given lengths.A B C D5. Multiple ChoiceUsing the composition below, what are the coordinates of the endpoints of C D ? 2, 3 , D 3, 4 1The value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.Given: CRotation: 90 clockwise about origin Reflection: in xA B C D EC 5, C C C 5,2 , D 6, 3 2 ,D 6, 3 2, 3Given: A 4, 0 , B 2, 1 Translation 1: reflect in x 1 Translation 2: rotate 90 counterclockwise about (2, 1 Column A length of AA Column B length of BBC 1, 2 , D 2, 3 1, 2 , D1, 2 , D 2, 3Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook49LESSON7.6GA QCC: 38, 40, 41, 42Standardized Test PracticeFor use with pages 437­444GHSGT: 22TEST TAKING STRATEGY1. Multiple ChoiceDo not put added pressure on yourself to do well. If you are not satisfied with your SAT score, you can take it again.5. Multiple Choice AA frieze pattern is a pattern that extends to the left and right in such a way that the pattern can be mapped onto itself by a vertical translation. vertical reflection. horizontal translation. horizontal reflection. horizontal glide reflection.Which design below is a frieze pattern with a classification of TV?A B C D EB CDIn Exercises 2­7, use these classifications. T translation R 180 rotation H horizontal reflection V vertical reflection G horizontal glide reflection2. Multiple Choice EChapter 76. Multiple Choice AWhich design below is a frieze pattern with a classification of TRVG?Name the isometries that map the frieze pattern onto itself.B CA DT THB ETR TGCTVD E3. Multiple ChoiceName the isometries that map the frieze pattern onto itself.7. Multi-Step Problem A DTR TRHVB ETRH TRHVGCTHUse the pattern below to create a frieze pattern with the given classifications.4. Multiple ChoiceName the isometriesa. b. C Ethat map the frieze pattern onto itself.A B D50T TV THG TRHVGCopyright © McDougal Littell Inc. All rights reserved.TH TR TVGeometryGeorgia Standardized Test Practice WorkbookTHV THGc. d.LESSON8.1GA QCC: 1, 2Standardized Test PracticeFor use with pages 457­464GHSGT: 4, 9, 19, 36, 40TEST TAKING STRATEGYWork as quickly as you can through the easier sections, but avoid making careless errors on easy questions.3 ft . 18 in.C1 61. Multiple Choice A D1 2SimplifyB E7. Multiple Choice215 8The ratio of side lengths of ABC to DEF is 3:1. Find the lengths of EF and AC.A D 3 E62. Multiple Choice A DSimplifyB E5m . 125 cmCF25 0.250.04 404B18CA B C D EEF EF EF EF EF3, AC 6, AC 6, AC 6, AC 12, AC3 5 9 5 3 5 21 3 173. Multiple ChoiceThe perimeter of rectangle ABCD is 72. The ratio of the lengths of the sides is 1:2. What are the lengths of the sides? 12 and 18 4.5 and 9 9 and 18B DA C E12 and 24 6 and 12Quantitative Comparison4. Multiple ChoiceThe perimeter of HIJ is 36. The extended ratio of the sides is 2:3:7. Find the lengths of the sides. 3, 4, 9 8, 12, 28 2, 3, 7 SolveB E B DFor Exercises 8 and 9, use the number line below to find the ratio of the distances. Choose the statement below that is true about the given values.A B C DA C E4, 6, 14 6, 9, 215. Multiple Choice A D5 x 7 xC3 23 2The value in column A is greater. The value in column B is greater. The values are equal. The relationship cannot be determined from the given information.A4 2Chapter 8.B0 2C4D6E F8 1025 2311 2Column A6. Multiple ChoiceAColumn B CD CE DF BDWhich ratio describes the simplified width to length ratio of ABCD?7.0 in.8.EF AB AC BEB9.2.5 in.DCA D2.5 7.0 0.5 1.4B E25 70 5 14C70 25Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook51LESSON8.2GA QCC: 1, 2Standardized Test PracticeFor use with pages 465­471GHSGT: 4, 5, 9, 19, 36, 40TEST TAKING STRATEGYDo not panic if you run out of time before answering all of the questions. You can still receive a high test score without answering every question.5. Multiple Choice A D1. Multiple ChoiceWhich choice below completes the sentence to make a true statement? 3 7 &quot;If ? .&quot; , then x yA DThe geometric mean of x and 5 is 15. Find the value of x. 3 5 3B E10 45C153 x 3 7 5 If xy 7 x yB E3 7y xCx 37 y6. Multiple Choicenone of these2. Multiple Choice A B C D EWhich statement is false? y 5 x y 3 , then . 3 x 3 17 8 17 x 2 If , then . x 2 10 8 10 15 17 15 y 17 x If , then . x y x y 6 7 5 n 6 5 If , then . 7 n 7 n 12 7 9 x If , then . 7 12 x 9 In the diagram, AB BD AC . CEThere are 36 students in a gym class. If 1 of the students are freshmen 4 and 2 of the remaining students are seniors, 3 how many seniors are in the class? 6 18B EA D12 24C157. Multiple ChoiceThe points 3, 1 , 3, 3 , and x, 5 are collinear. Find the value of x by setting up and solving a proportion. 1 5B EA D2 4C98. Multiple Choice3. Multiple ChoiceA model truck is 13.5 inches long and 7.5 inches wide. The original truck was 12 feet long. How wide was it? 62 ft 3 8.4 ftB EA DFind the length of AE.Chapter 8A B C D E7.5 ft 21.6 ftC54 ft 57.5 15 17.5 131 3 1 283ED6Quantitative ComparisonB8In Exercises 9 and 10, choose the statement below that is true about the given value.A B C DC10A4. Multiple ChoiceIn the diagram,UV UZWX . WYThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column A Column B The geometric mean of 7 and 19 The geometric mean of 6 and 10Find the length of WX.A B C D E5221 3U 2 3.5 V 10.5 3W X79.The geometric mean of 8 and 16 The geometric mean of 5 and 1242 3 112 3ZY10.GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON8.3GA QCC: 20, 21, 23Standardized Test PracticeFor use with pages 473­479GHSGT: 22, 23, 24, 40TEST TAKING STRATEGY1. Multiple ChoiceAlways look for shortcuts that will allow you to work through a problem more quickly.5. Multiple ChoiceHeptagons ABCDEF and MNOPQR are similar. Which statement of proportionality is not true?A F E D B C R Q P M NABCD ~ EFGH. The perimeter of ABCD is 18. What is the length of BC?E A B C H6 15 8F7O D GA4 3.5B E3 7C7.5A C EBC NO RM AF BC NOED QP CD OP FA RMB DRQ FE MN ABOP CD DE PQD6. Multiple ChoiceThe ratio of one side of ABCD to the corresponding side of EFGH is 1.5 to 4. The perimeter of EFGH is 38 inches. Find the perimeter of ABCD. 14.25 in. 1011 in. 3B EA D28.5 in. 502 in. 3C61 in. 32. Multiple Choice A B C DThe two trapezoids shown are similar. What are the values of x and y? x y x y x y x 40, 10 55, 5 2y 55, 10 110, y2x 15Quantitative ComparisonIn Exercises 7 and 8, use the diagram to choose the statement that is true given that ABCDE ~ LMNOP.708125Ex110, y10A B C D3. Multiple Choice A B C D EFind the scale factor of MNOP to QRST, given that MNOP ~ QRST. 1:5 3:5 2:5 5:2 5:3Q 2 T R6The value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.L A z B9Chapter 8M x NM510N2z6PC y13.5 8S OEDP12OColumn A7. 8.Column B y4. Multiple ChoiceThe ratio of the perimeters of ABC to KLM is 3:5. Which ratio could not be a ratio of two corresponding sides? 1.5 2.5 3:5B Ex AE ABLPA D6 10 6:15C9:15Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook53LESSON8.4GA QCC: 20, 21, 23Standardized Test PracticeFor use with pages 480­487GHSGT: 22, 23, 24, 40TEST TAKING STRATEGYWhen checking your work, try to use a method other than the one you originally used to get your answer. If you use the same method, you may make the same mistake twice.4. Multiple Choice1. Multiple ChoiceThe triangles below are similar. Which choice below is the correct statement of proportionality?A DABC ~A5DBE. Find thevalues of x and y.A B C Dx y x y x x y x6, 10 131, 2 10 6, y1 132,D95C10 3x4yBCEF5 6, yE12BA C EAB DE AC DE EF BCAC DF AB DF DE ACBC EF CB EF AB DFB DDF BC AB DFAB DE AC DEEF AC EF BCE5. Multiple ChoiceWhat is the perimeter ofA4 3trapezoid BCDE?A B C D E26 28 31 38D6 14EB2. Multiple ChoicetoA B CWhich angle is congruent M in the similar triangles below? N Q QOP PO N QC30 or 30.16. Multi-Step ProblemUse the diagram toChapter 8answer parts (a)­(e).C PD Ecannot be determinedM D B4 63. Multiple ChoiceThe triangles are similar. Which of the following is not a correct statement? KA F5F8Ea. Find the length of BC. b. Find the length of BF.E G M Lc. What is the scale factor of d. Find the perimeter of e. Critical ThinkingABF toACE?A C E54K GE ML MF GF MK GB DFEG ~ KLM ML KL FG FEBCDF.show thatABF ~Explain how you could FDE.GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON8.5GA QCC: 6, 20, 21, 23Standardized Test PracticeFor use with pages 488­496GHSGT: 22, 23, 24, 40TEST TAKING STRATEGYSketch graphs or figures in your test booklet to help you solve the problems. Even though you must keep your answer sheet neat, you can make any kind of mark you want in your test booklet.C D EE1. Multiple ChoiceB10 4Use the diagram below to determine which statement(s) are true.ABD ~ ABD ~ ABD ~DEC by SSS Similarity Thm. ECD by AA Similarity Post. DEC by AA Similarity Post.A8C D15 1264. Multiple ChoiceH8F6 3Which similarity statement and postulate or theorem correctly identifies the triangles' relationship?A6GID12I. II. III.A DABC ~ ABC ~ DEF ~ I I and IIIDEF GHI GHIB EC9IICIIIB8Enone of theseA B C DABD ~ ABC ~ ABC ~ ABC ~ ABC ~CDE by SSS Similarity Thm. CDE by SAS Similarity Thm. EDC by SSS Similarity Thm. EDC by AA Similarity Post. EDC by SAS Similarity Thm. Find the distance labeled xChapter 82. Multiple ChoiceWhat is the scale factor for the triangles below?1520 9 22 12E5. Multiple Choice13.2in the diagram.C3 5A D3 2 2 5B E4 3 3 4A B C D E32.5 ft 42.5 ft 35 ft 48.2 ft 43.5 ft Solve for x.B10 10 ft 26 ft 8 ftx3. Multiple ChoiceWhich similarity statement and postulate or theorem correctly identifies the triangles' relationship?B C6. Multiple Choice A B C18.75 17.2 18 19 12.5C12A15xAEDD ED22.5A BABD ~ ABD ~ECD by SSS Similarity Thm. ECD by SAS Similarity Thm.Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook55LESSON8.6GA QCC: 1, 15, 20, 21, 22Standardized Test PracticeFor use with pages 498­505GHSGT: 4, 36TEST TAKING STRATEGYIt is important to remember that your SAT score will not solely determine your acceptance into a college or university. Do not put added pressure on yourself to do well. If you are not satisfied with your SAT score, remember that you can take it again.5. Multiple Choice A B C DO81. Multiple Choice A B C D EWhat is the length of OP?MFind the value of y.1.5 102 3 5 6 73116 36 8 40 54 62124y24Q 3 P NE2. Multiple ChoiceWhich value of AB wouldmake EB DC?A B C D EQuantitative ComparisonA514 8 18 28 36D17In Exercises 6­8, use the diagram below to solve for the indicated values. Choose the statement that is true about the given values.A B C DEB 12 C3. Multiple Choice A BFind the value of x.AThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.822 24 26 28 3042 15 20B C24 7 10.5 F GChapter 8C D ExED HColumn A4. Multiple Choice A B C D EColumn B GH EG FHFind the value of x.8 18102 3 6 22 36 54246. 7. 8.BC BD AB CDx56GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON8.7GA QCC: 1, 15, 20, 21, 39, 40, 41Standardized Test PracticeFor use with pages 506­513GHSGT: 2, 4, 22, 23, 40TEST TAKING STRATEGYAvoid spending too much time on one question. Skip questions that are too difficult for you, and spend no more than a few minutes on each question.4. Multiple Choice A3 2 21. Multiple ChoiceWhich statements belowFind the values of x and y.C' C y A A' x2 4are true? I. A dilation with a scale factor of is an enlargement, 150% bigger. II. A dilation with a scale factor of 3 is an enlargement, 66% bigger. III. A dilation with scale factor k is a reduction if 1 &lt; k &lt; 1.A Dx y x y x y x x2 3,8 6, 8 6, 12 6, y 24, y 4 4B24B C D EB'12I I and IIB EII II and IIICIII5. Multiple Choice 2. Multiple ChoiceWhich choice below correctly identifies the dilation and scale factor?P'3The dilation has center E. Find the values of x and y.A15B x B'10 205 2A' y7PE15 30D'C' CA B C D Ereduction; k reduction; k enlargement; k enlargement; k enlargement; k2 5 3 5 2 5 3 5 5 2DA C Ex x x7.5, y 6, y 6, y21 B 3.5 14Dx x10, y 7.5, y15 14Chapter 86. Multi-Step Problem a. On a coordinate plane, draw b. Draw a dilation of3. Multiple ChoiceWhich choice below correctly identifies the dilation and scale factor?C P' 36 P12ABC with vertices A 1, 5 , B 3, 6 , and C 3, 3 . ABC. Use the origin as center and a scale factor of 2 to draw ABC. ABC. Use the origin as center and a scale factor of 1 to draw 2 ABC.c. Find the length of B C . d. Draw a dilation ofA B C D Ereduction; k reduction; k reduction; k enlargement; k enlargement; k14 36 36 12 12 36 36 12 12 36e. Find the length of A C . f. What scale factor could you use to go fromA B C toABC ?Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook57LESSON9.1GA QCC: 1, 20, 21, 23Standardized Test PracticeFor use with pages 527­534GHSGT: 4, 22, 23, 24TEST TAKING STRATEGY1. Multiple ChoiceRead each test question carefully. Always look for shortcuts that will allow you to work through a problem more quickly.C5. Multiple Choice AB DUse the diagram at the right to choose the correct similarity statement for the three triangles. AA B C D EFind the value of y. Round to the nearest hundredth. 3.20 2.55 1.32B D5.29 4.4574C EyABC ~ ABC ~ ABC ~ ABC ~ ABC ~CDB ~ CBD ~ CBD ~ CDB ~ BCD ~ACD ADC ACD ADC ADC6. Multiple Choice A B CFind the value of x. Round to the nearest hundredth. 10.2 3.08 8.06 5 8.13x8 52. Multiple ChoiceUse the diagram in Exercise 1 to choose the proportion that is false. AB CB AB AC CB DB AC ADB DD EA C EBD CD BD CBCD AD CD AB7. Multiple ChoiceFind the value of z. Round to the nearest hundredth. 42.68 64.29 62.30B Dz14 30A C E20.49 56.28none of these3. Multiple ChoiceUse the diagram below to identify the similar triangles and complete the proportion. A CA BA BA ?A C E8. Multi-Step ProblemAC DC DAB DBD BCBDYou want to hang a tire swing from a tree in your backyard. The branch is horizontal to the ground. The diagram shows the vertical distance from your eye to the ground, and from you to the swing.Ta. What is HG?Cb. What is TG? c. If the tire swing is to4. Multiple ChoiceChapter 9Use the diagram below to find the value of h. Round to the nearest hundredth, if necessary. 9.60 8.70 9.25B DA C E9.50 10.2316h2012hang 21 feet from the 2 ground, and the tire H 8.2 ft A has a diameter of 3 5.4 ft feet, approximately G how much rope is needed to hang the swing? triangles.d. Write a similarity statement for the three58GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON9.2GA QCC: 1, 24Standardized Test PracticeFor use with pages 535­541GHSGT: 4, 32, 35TEST TAKING STRATEGYWhen checking your work, try to use a method other than the one you originally used to get your answer. If you use the same method, you may make the same mistake twice.6. Multiple Choice Ac a C B1. Multiple ChoiceWhich equations below aretrue about I. a II. c III. bA DABC? c2 a2Find the area of the figure. Round to the nearest tenth, if necessary. 307.5 m2 410 m2b2 b aB E239 m 36 m 5mB C DcA585 m2 615 m2 1230 m2bI I and IIII all of theseCIIIE7. Multiple Choice 2. Multiple Choice A B C D EFind the value of x. Round to the nearest tenth, if necessary. 25 in. 26.4 in. 14 in. 13.6 in. 14.2 in.8.x21 in. 16 in.Find the area of the figure. Round to the nearest hundredth, if necessary. 79.5 m2 53.61 75 m2 57.0 m2 40.74 m218 m 12 m 8mA B C D Em2Quantitative Comparison3. Multiple Choice A B C D EFind the value of y. Round to the nearest hundredth, if necessary. 10.25 cm 15.26 cm 25 cm 21 cm 14.28 cm8 cmUse the diagram below to find the variables. Choose the statement below that is true about the given number. The value of column A is greater. The value of column B is greater. The two values are equal. The relationship cannot be determined from the given information.yy13 cmA B C D4. Multiple ChoiceFind10the value of x.A C E5 5 2 7.5B D2 5 710x15xChapter 95. Multiple ChoiceFind theBColumn A x26 ftColumn B yarea of the figure.A C E260 ft2 240 ft2 140 ft2130 ft2 120 ft2D10 ft GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.59LESSON9.3GA QCC: 1, 24Standardized Test PracticeFor use with pages 543­549GHSGT: 4, 32, 35TEST TAKING STRATEGYAvoid spending too much time on one question. Skip questions that are too difficult for you, and spend no more than a few minutes on each question.6. Multiple Choice1. Multiple ChoiceLet the numbers represent the lengths of the sides of a triangle. Which of the triangles are right triangles? I. 4, 5, 6 II. 15, 20, 25 IV. 5, 13, 14B EFind the value of y that makes the triangle an acute triangle.A2618III. 15, 36, 39A D20 18 16B D18.5 17yI III and IVII II and IVCII and IIIC E2. Multiple ChoiceIf two sides of a triangle are 8 and 10, what measurement could represent the third side if the triangle is a right triangle? 12 A or BB E7. Multiple ChoiceGiven points P 2, 4 and Q 2, 6 are two vertices in a right triangle, which point could represent the third vertex?A DA D2 41 B or CC60, 9 B and CB E4, 2C0, 0none of these3. Multiple ChoiceLet the numbers represent the lengths of the sides of a triangle. Which of the triangles are acute triangles? I. 10, 24, 26 II. 6, 8, 9.5 IV. 45, 60, 75B EQuantitative ComparisonIn Exercises 8 and 9, choose the statement below that is true about the given value.A B C DBIII. 12, 17, 22A DI and II IIIII III and IVCII and IIIThe value in column A is greater. The value in column B is greater. The values are equal. The relationship cannot be determined from the given information.F4. Multiple ChoiceWhich set of numbers can represent the side lengths of an obtuse triangle? 1, 2, 3 3, 7, 7.5 none of these8. 9.12yxywA C EB D3, 5,34A z C E z G12, 15, 3 415. Multiple ChoiceFind the value of x that makes the triangle a right triangle. 12 13 15 17 209Column A x xColumn B w when w when EFG is acute EFG is obtuseChapter 9A B C D Ex60GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON9.4GA QCC: 1, 24, 25Standardized Test PracticeFor use with pages 551­557GHSGT: 4TEST TAKING STRATEGYStaying physically relaxed during the SAT is very important. If you find yourself tensing up, put your pencil down and take a couple of deep breaths. This will help you stay calm.5. Multiple Choice Ay1. Multiple Choice A B C D EFind the values of x and y. 6 2 4 3 6 6xFind the value of x. 10 2 510x x x x x6, y6 33 2, y 2 3, y 6, y 6 2, y5 2 2 5 2 10 2B DxC456 2E2. Multiple Choice A B C D EFind the values of a and b. 9 2 9 3 18 6 3 3 3 Find the values of x and y. 3 3 2 2 336. Multiple Choicea a a a a9, b 18, bb60 9Find the area of the figure. Round to the nearest tenth if necessary. 68.2 m2 70.1 m2 187.0 m2B D30 18 m9 3, b 3 3, b 6 3, bAa93.5 m2 140.3 m2C E3. Multiple Choice A B C D E7. Multiple Choicex x x x x3 2, y 3, y 2, y 3 2, y 2, yyThe perimeter of a square is 54 cm. Find the length of a diagonal, rounding to the nearest tenth. 10.4 cm 22.4 cmB E3 2xA D19.1 cm 38.2 cmC13.5 cm8. Multiple Choice454. Multiple Choice A B C D EFind the values of m and n. 8 3 3 16 3 3 16 168The side of an equilateral triangle is 12 cm. Find the length of an altitude of the triangle. 6 3 cm 12 3 cmB Em m m m m16 3 ,n 3 16, n 8 3 ,n 3 16 3, n 8 3, nA D6 2 cm C 12 2 cm6 cm8 3n m309. Multi-Step ProblemABC is equilateralBand DEGF is a square.a. Find DG. b. Find DI. c. Find DJ. d. Find DB. e. Find BJ. f. Find the area ofA5DJ I H45EChapter 9FGCtrapezoid ADEG. Round to the nearest tenth.Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook61LESSON9.5GA QCC: 1, 26, 27Standardized Test PracticeFor use with pages 558­566GHSGT: 4, 35TEST TAKING STRATEGYIf you find yourself spending too much time on one test question and getting frustrated, move on to the next question. You can revisit a difficult problem later with a fresh perspective.6. Multiple Choice AB c1. Multiple ChoiceUse the triangle below. Choose the correct ratio to find tan B. b a a c b c A.B D B DFind the perimeter of the triangle. Round to the nearest tenth. 42.2 in. 39.9 in. 37.2 in. 39.1 in. 33.1 in.10 in. 37A C Ea b b cAB C Da Cb CE2. Multiple ChoiceFind the 0.4167 1.08337. Multiple Choice A24 26sine ofA C EFind the area of the triangle. Round to the nearest tenth. 93.5 cm2 62.4 cm2 54 cm2 140.3 cm2 81 cm212 cm 30 18 cm0.3846 0.9231 2.4B CB10AD E3. Multiple Choice A B C D EFind the cosine ofC5 10B.B1.7321 0.8660 2 1.1547 0.5774Quantitative Comparison5 3In Exercises 8 and 9, choose the statement below that is true about the given value.A B C DA4. Multiple Choice A DUse the diagram in Exercise 3 to find the tangent of B. 1.7321 1.1547B EThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.B0.8660 0.5774C25. Multiple ChoiceFind the value of x.A x353540Chapter 9A B C D E6216 sin 35 16 cos 35 sin 35 16 16 sin 35 16 tan 35GeometryGeorgia Standardized Test Practice WorkbookD15CColumn A16Column B BC8. 9.AD BD AB ADBCCopyright © McDougal Littell Inc. All rights reserved.LESSON9.6GA QCC: 26, 27Standardized Test PracticeFor use with pages 567­572TEST TAKING STRATEGYThe mathematical portion of the SAT is based on material taught in your high school mathematics courses. One of the best ways to prepare for the SAT is to keep up with your regular studies and do your homework.6. Multiple Choice1. Multiple ChoiceWhich statements beloware true? I. You can solve a right triangle if you are given the lengths of two sides. II. You can solve a right triangle if you are given the measure of the two acute angles. III. You can solve a right triangle if you are given only one side and one acute angle.A DIn the diagram below, what are the measures of AB and CB, rounded to the nearest tenth? AB AB AB AB AB 46.9, CB 24.9, CB 46.9, CB 24.9, CB 41.4, CB 41.4 46.9 24.9 41.4 46.9C22A B C D EB28I I and IIIB EIICIIIAall of theseQuantitative Comparison2. Multiple Choicemeasure of acuteA DWhich is the approximate A when tan A 0.698?B EIn Exercises 7­9, use the diagram below to find the values. Choose the statement below which is true about the given value.A B C DA44.3 45.712.2 35.2C34.93. Multiple Choiceis the measure of tenth?A B C D EIn the diagram below, what M, rounded to the nearestMThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.63.6 63.4 N 26.6 26.4 63.53B15 6 31E OD 5 C4. Multiple Choicethe measure ofA B C D EIn the diagram below, find Z. Round to the nearest tenth.Column A7. 8.Column B AB BCAD DB ED BC AD48.6 28.1 61.9 41.4 29.6X179.BCChapter 9Y15Z5. Multiple Choice A DIn the diagram in Exercise 4, find the measure of XY. 6 9B E10 8C7GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.63LESSON9.7GA QCC: 46Standardized Test PracticeFor use with pages 573­580GHSGT: 3TEST TAKING STRATEGY1. Multiple Choice\Make sure that you are familiar with the directions before taking a standardized test.\Points M 7, 1 and N 2, 8 are the initial and terminal points of vector MN . Which choice below is the component form of MN ?\6. Multiple Choice\7, 2 and Let P 5, 8 . What is the component form Q and magnitude of P Q , rounded to the nearest tenth?\ \A D5, 7 5, 7B E12.7 9, 7C9,9A C E2, 6 , 6.3 12, 10 , 15.6 12, 10 , 15.6B D2,6 , 6.3 2, 6 , 6.32. Multiple Choice\Points Q 4, 1 and R 12, 4 are the initial and terminal points of vector QR . What is the magnitude of vector QR ?\\7. Multiple Choice\A D8.5 16.8B E8, 3 16, 5C8,3x, 4 and Let A 14, y . If A B B 12, 6 , what are the values of x and y?\ \A C Ex x x2, y 2, y 2, y10 10 10B Dx x2, y 2, y2 23. Multiple Choice\Points A 3, 2 and B 6, 8 are the initial and terminal points of vector BA . What is its magnitude?A D\3, 10 10.6B E9, 10.86C10.48. Multiple Choice5, 9 . Vector XY Which vector below has the same magnitude but a different direction? 3, 2 4, 10B E4. Multiple Choice A B C D EUse the diagram below to find the magnitude and direction of EF .\A D4, 10 5, 9C10, 1811.3, 69.3 17.9, 12.9 17.9, 77.1 8.94, 26.5 8.94, 63.52yF9. Multi-Step ProblemE2 xA jet is flying from Cleveland to New York. A smaller plane takes off from the same airport and heads towards Detroit. They both encounter a strong wind blowing from the west at 80 miles per hour, 80, 0 . represented by w\ \a. The jet's velocity vector is represented by\5. Multiple Choice\KA C5, Let J 15, 3 . What is J K ?\ \1 and450, 510 . What is its speed and j direction if there were no wind?b. The plane's velocity vector is represented\10, 4 10, 20, 4 4B D20, 2 10, 2Chapter 9Eby p 300, 200 . What is its speed and direction if there were no wind? c. What is the jet's speed and direction after encountering the wind described by w ?\d. What is the plane's speed and directionafter encountering the wind described by w?\64GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON10.1GA QCC: 28, 29Standardized Test PracticeFor use with pages 595­602GHSGT: 29Chapter 10TEST TAKING STRATEGYSketch graphs or figures in your test booklet to help you solve the problems. Even though you must keep your answer sheet neat, you can make any kind of mark you want in your test booklet.5. Multiple Choice A secant. CFor Exercises 1­5, use the diagram below.A C HJ is best described as a B chord.DBcommon external tangent. diameter.common internal tangent.ED F I H G L J K E6. Multiple ChoiceWhat is the diameter of5 3 2C?A C E8 3 5B D4 2C1. Multiple Choice A C EFB is best described as aB Dradius. chord. tangent.diameter. secant.7. Multiple Choice A CHow many common tangents do the circles have? 0 2 4B D1 32. Multiple Choice A C D E AJ is best described as aBEdiameter. chord.secant.8. Multi-Step Problemycommon external tangent. common internal tangent.  CD is best described as aBUse the diagram below to answer parts (a)­(d).3. Multiple Choice A C D Ediameter. chord.secant.2Acommon external tangent. common internal tangent. CG is best described as aB DB1 x4. Multiple Choice A C Ediameter. secant. chord.radius. tangent.a. What is the center and radius of b. What is the center and radius ofA? B?c. What is the intersection of the circles? d. Describe the common tangents to the cir-cles. Are they internal, external, or both?Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook65LESSONChapter 1010.2GA QCC: 28, 29Standardized Test PracticeFor use with pages 603­611GHSGT: 29TEST TAKING STRATEGYDo not panic if you run out of time before answering all of the questions. You can still receive a high test score without answering every question.A B C55For Exercises 1­4, use the circle at the right.6. Multiple Choice A DWhat is m EDB inB EExercise 5? 100 330150 340C300E D7. Multiple ChoiceUse the diagram to find the value of x. Round to the nearest hundredth, if necessary. 4 5.62 5.83B DA 1. Multiple Choice A D5 6.3165 3Find mBC .B EC C55 11090 12535Ex2. Multiple Choice A DFind mCD .B E8. Multiple ChoiceUse the diagram below tox10 22find the value of x.C55 11090 12535A C E10 22 44B D20 113. Multiple Choice A DFind m CAE .B E180 215125 300C145 Quantitative Comparison In Exercises 9 and 10, use the diagram that is true.A B4. Multiple ChoiceWhich statement is notBThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.Atrue?A C Dm AC m AE m CDm CD m BC m AEm AB m ADm ED m EBC Dm CDE5. Multiple Choice A C EFind the value of x.A x Ex B D20 45 60B D30 50E GC5xC DFB9. 10.66 GeometryGeorgia Standardized Test Practice WorkbookColumn A m DGE m ABCColumn B m DAE m CABCopyright © McDougal Littell Inc. All rights reserved.LESSON10.3GA QCC: 2, 28, 29Standardized Test PracticeFor use with pages 613­620GHSGT: 29Chapter 10TEST TAKING STRATEGYIf you find yourself spending too much time on one test question and getting frustrated, move on to the next question. You can revisit a difficult problem later with a fresh perspective.A B1. Multiple Choice6. Multiple Choice A CFind the value of x.(12x 10)What is m AB?A C E5 8 7.5B D3 10(7x10 30 60B D20 4020E5)C2. Multiple ChoiceIf an inscribed angle has a 100 , what is the measure of the measure of intercepted arc? 100 0B E7. Multiple Choice A B C D EFind the values of x and y. 75 100 80 105 115 Find the values of x and y. 84 48 42 84 42A84 80 75x x x x x80, y 105, y 75, y 100, y 90, yxyA D200 180C503. Multiple Choice A C EFind the value of x.A178178 B 89 91D356 1828. Multiple Choice Ax Bx x x x x6, y 42, y 42, y 90, y 48, yB yB CCD Ex D84C4. Multiple ChoiceIf m LNMM280 , find theLvalue of y.A C E40 280B80 140y NQuantitative Comparison In Exercises 9 and 10, use the diagram to choose the statement below that is true.A B C D160 DThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column B m ED yE100 4x 5y5. Multiple Choice A B C D EFind the values of a and b. 50 50 25 25 25b25a a a a a50, b 25, b 50, b 25, b 100, baColumn A9. 10.m AB xD x CA4xBCopyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook67LESSONChapter 1010.4GA QCC: 28, 29Standardized Test PracticeFor use with pages 621­627GHSGT: 29, 31TEST TAKING STRATEGYThe mathematical portion of the SAT is based on material taught in your high school mathematics courses. One of the best ways to prepare for the SAT is to keep up with your regular studies and do your homework.6. Multiple Choice11. Multiple ChoiceFind m 1.A C EFind m 1.170150170 190 340B D85 95A C E75 95 40B D190 1501 407. Multiple Choice 2. Multiple ChoiceFind m AB.A C EAFind m 1.A8664 108 86B D32 541 22110 140 35B D70 220C70C EB8. Multiple Choice AFind the value of y.y26 77 102 51 52(9x 3)3. Multiple ChoiceA58Find m ABC.A C EB C DB58 122 244B D116 29C(5x1)E4. Multiple ChoiceIf m EGFF6x12 ,find the value of x.A C EQuantitative Comparison In Exercises 9 and 10, choose the statement that is true.A B22 16 20B D11 10G72CEDThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.A(5x 9)5. Multiple ChoiceIf m LNMN8x12 ,E M x F(2x 12)find the value of x.A C E14 28 34.8B D16.8 292xDCB 56LColumn A9. 10.Column B m AC m AECopyright © McDougal Littell Inc. All rights reserved.m EAB m CD68GeometryGeorgia Standardized Test Practice WorkbookLESSON10.5GA QCC: 1, 28, 29, 46Standardized Test PracticeFor use with pages 629­635GHSGT: 4, 29, 31Chapter 10TEST TAKING STRATEGYMake sure that you are familiar with the directions before taking a standardized test. This way, you do not need to worry about the directions during the test.41. Multiple Choice6. Multiple Choice8Find the value of x.A C E3 5 8B D4 6x6You are standing 16 feet from a circular swimming pool. The distance from you to a point of tangency is 25 feet. What is the approximate diameter of the pool? 23 ft 38 ftB EA D8 5y 3 246 ft 15 ftC19 ft2. Multiple ChoiceFind the value of y.A C E7. Multiple Choice A B C2 4 6B D3 5Find the values of x and y. Round to the nearest tenth, if necessary. x x x x x 14.4, y 12, y 14.4, y 12, y 24, y 8 8 8 18yy18x8 123. Multiple Choice9 6Find the value of x.A C E8 12D E10 9.6 14B D5 12x104. Multiple ChoiceFind the value of y.A C E8 53.2 4.9 1.8B D12.8 7.8xQuantitative Comparison In Exercises 8 and 9, use the diagram to choose the statement below that is true. A The value in column A is greater. B The value in column B is greater. C The two values are equal. D The relationship cannot be determined from the given information.A z D 18 x G 22 E 6 y H C B5. Multiple Choice A C EFind the value of x. Round to the nearest tenth, if necessary. 22 5.3 14xB D8.8 6.67 4 15 12FColumn A8. 9.Column B y HBx zCopyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook69LESSONChapter 1010.6GA QCC: 42, 46Standardized Test PracticeFor use with pages 636­640GHSGT: 29TEST TAKING STRATEGY1. Multiple ChoiceWork as quickly as you can through the easier sections, but avoid making careless errors on easy questions.6. Multiple ChoiceWhat is the standard form of the equation of a circle with center 3, 2 and radius 4? x x x x x 3 3 3 3 32 2 2 2 2The center of a circle is 2, 4 and a point on the circle is 1, 4 . What is the equation of the circle? x x x x x 4 2 2 2 22 2 2 2 2A B C D Ey y y y y2 2 2 2 22 2 2 2 24 16 8 16 16A B C D Ey y y y y2 4 4 4 42 2 2 2 29 9 9 3 32. Multiple ChoiceWhat is the center of a circle with an equation of x 52 y 1 2 36? 6, 0 5, 1 5, 1B D7. Multiple ChoiceA diameter of a circle has endpoints of 5, 6 and 5, 2 . What is the equation of the circle? x x x x x 5 5 5 5 52 2 2 2 2A C E0, 6 5, 1A B C D Ey y y y y2 2 2 2 42 2 2 2 216 4 4 64 43. Multiple ChoiceWhat is the radius of a circle with an equation of 2 9 2 25 x 4 y 16 9 36 ?2 3 5 6A DB E4 9 25 36C3 48. Multiple ChoiceThe center of a circle is 5, 3 and its radius is 4. Which point lies on the exterior of the circle? 4, 4, 1, 2 5 3B D4. Multiple Choice A B C D EWhat is the center and radius of the circle in the diagram? 1, 4 , 2 4, 3 , 2 3, 4 , 2 4, 3 , 4 3, 4 , 41 1 x yA C E6, 0 1, 49. Multi-Step ProblemThe center of a circle is x, 2 and its radius is 3. Assume x &gt; 4. 4, 2 , what is the value of x?a. If another point on the circle isb. What is the equation of the circle in5. Multiple ChoiceWhat is the equation of the circle in Exercise 4? A x 42 y 32 2B C D Estandard form?c. Graph the equation from part (b). d. Name a point on the circle, a point in thex x x x3 4 3 12 2 2 2y y y y4 3 4 42 2 2 22 4 4 4interior of the circle, and a point in the exterior of the circle.70GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON10.7GA QCC: 1, 3, 42, 46Standardized Test PracticeFor use with pages 642­648GHSGT: 4, 29Chapter 10TEST TAKING STRATEGYIt is important to remember that your SAT score will not solely determine your acceptance into a college or university. Do not put added pressure on yourself to do well. If you are not satisfied with your SAT score, remember that you can take it again.For Exercises 5­7, use the graph at the right.5. Multiple Choicey1. Multiple ChoiceWhat is the locus of all points in the coordinate plane that are equidistant from points 3, 2 and 3, 16 ? The line x 3, 9 3, 14 and 3, 18 9B DJA C EThe line y The line x9 32. Multiple ChoiceWhat is the locus of all points in the coordinate plane that are equidistant from points A 1, 2 and B 3, 2 and are 5 units from B. The line x 2, 2, 2 , 2, 2 4 2BFind the locus of points in the coordinate plane that are equidistant from H and I.A C E1 1HIxThe line x The line y 5, 29 2 9 2B DThe line y55, 2 and 0, 2A C D EThe line y23 2 , 2, 2 26. Multiple ChoiceFind the locus of points thatare 4 units from J.A B C D E2, 0 , 2, 45, 2 and 5, 10 The circle x 1, 6 and 9, 6 The circle x The circle x 5 52 23. Multiple ChoiceWhat is the locus of all points that are equidistant from the lines y 3x 2 and 3x 5y 50. 5 0, 6 The line y The line y 0, 6 and The lines y3 5x 3 5x52y y y6 6 6216 8 162 2A B C D E4 6 12 and y3 5x7. Multiple Choice4 3x 4 3x 4 3 8 3Find the locus of points  that are 2 units from JH.A C E10, 03 5xy yB Dy3 4x2 3A and C4. Multiple ChoicePoint D is in the interior of ABC. What is the number of possible locus points in the interior of ABC that are equidistance from ABC and 1 inch from point D? 0 points 1 point 2 points all points on the bisector of ABC cannot be determinedA and B8. Multi-Step ProblemA B C D EYou are given seismograph readings from three locations. · At A 4, 6 , the epicenter is 10 miles away. · At B 2, 4 , the epicenter is 6 miles away. · At C 10, 4 , the epicenter is 6 miles away.a. Graph points A, B, and C on a coordinateplane. b. What is the locus of A, of B, and of C? c. Find the epicenter.GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.71LESSON11.1GA QCC: 13Standardized Test PracticeFor use with pages 661­668GHSGT: 29, 30TEST TAKING STRATEGYStaying physically relaxed during the SAT is very important. If you find yourself tensing up, put your pencil down and take a couple of deep breaths. This will help you stay calm.6. Multiple Choice1. Multiple Choice A BWhat is the value of x?85100 140 120 150 11095x120 100What is the sum of the measures of the interior angles of a convex 16-gon? 1800 2700B EChapter 11A D2340 2880C2520C D E7. Multiple ChoiceWhat is the measure of an exterior angle if the regular polygon has 18 sides? 18 24B E2. Multiple Choice A B C D EWhat is the value of y?130 75 125 145 115A D20 26C2250 100 130 75 408. Multiple ChoiceyA convex octagon has exterior angles that measure 35 , 41 , 25 , 55 , 62 , 17 , and 38 . What is the measure of the exterior angle of the eighth vertex? 267 187B EA 3. Multiple Choice45 87C177The measure of each interior angle of a regular polygon is 144 . How many sides does the polygon have? 8 12B EDA D9 14C10Quantitative ComparisonA B CIn Exercises 9 and 10, choose the statement that is true. The value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column B The sum of the interior angles of a pentagon The number of sides of a regular polygon whose sum of the interior angles measures 32404. Multiple Choice A B C D EFind the value of x.2x31.25 16.25 26.25 28.75 13.75(4x 15) (x 10) (2x 20) 3xD9.5. Multiple ChoiceA convex heptagon has interior angles that measure 120 , 115 , 135 , 95 , 155 , and 125 . What is the measure of the seventh interior angle? 120 155B E10.Column A The sum of the exterior angles of a 19-gon The number of sides of a regular polygon with an exterior angle measuring 20A D115 95C13572GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON11.2GA QCC: 30, 32, 37Standardized Test PracticeFor use with pages 669­675GHSGT: 26, 27, 29, 35TEST TAKING STRATEGYAvoid spending too much time on one question. Skip questions that are too difficult for you, and spend no more than a few minutes on each question.5. Multiple Choice A B61. Multiple ChoiceFind the area of the triangle. Round to the nearest hundredth, if necessary. 12 square units 31.18 square units 5.20 square units 10.41 square units 15.59 square unitsFind the area and perimeter of a square with a diagonal of 10 inches. A A A A A 25.0 in.2, P 28.3 in.2, P 50 in.2 ,P214.1 in.Chapter 11A B C D E50 in. 28.3 in. 100 in. 56.6 in.C D E56.6 in.2, P 100 in. , P6. Multiple Choice2. Multiple ChoiceFind the area of the inscribed regular pentagon below. Round to the nearest tenth. 422.3 square units 344.4 square units 211.1 square units 688.7 square units 452.2 square units9.7Find the area of the shaded region. The octagon is regular. Round to the nearest tenth, if necessary. 51.1 cm2 408.5 cm2 204.2 cm2 289.0 cm2 578.0 cm212 cmA B C D EA B C D EQuantitative Comparison3. Multiple ChoiceFind the measure of the central angles of a regular polygon with 18 sides. 10 30B EIn Exercises 7 and 8, use the diagrams below to choose the statement that is true.A B C DThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.Regular Polygon A Regular Polygon BA D20 40C254. Multiple ChoiceFind the perimeter of the regular hexagon. Round to the nearest tenth, if necessary. 96 units 83.1 units 166.3 units 48 units 100.5 units7. 8.16A B C D E1212Column A Apothem of A Area of AColumn B Apothem of B Area of BCopyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook73LESSON11.3GA QCC: 30, 31, 32, 36, 37Standardized Test PracticeFor use with pages 677­682GHSGT: 26, 27TEST TAKING STRATEGYWhen checking your work, try to use a method other than the one you originally used to get your answer. If you use the same method, you may make the same mistake twice.6. Multiple Choice1. Multiple ChoiceChapter 11A heptagon has one side length of 15 inches. Another similar heptagon has a corresponding side length of 12 inches. Find the ratio of the perimeters of the smaller to the larger heptagon. 16:25 25:16B EA D4:5 5:4C15:12A large gazebo is shaped like a regular octagon. It has sides of length 12 feet and an area of about 696 ft2. Find the area of a similar gazebo that has a perimeter of 64 feet. Round to the nearest tenth, if necessary. 309.3 ft2 261 ft2 1566 ft2B DA C130.5 ft2 116 ft22. Multiple ChoiceWhat is the ratio of the area of the larger heptagon to the area of the smaller heptagon in Exercise 1? 16:25 25:16B EE7. Multiple ChoiceA D4:5 5:4C15:12A regular pentagon has a perimeter of 25 m and an area of 43.75 m2. Find the perimeter of a similar pentagon with an area of 175 m2. 100 m 45 mB E3. Multiple ChoiceFind the ratio of the perimeters of the larger triangle to the smaller triangle.A D75 m 50 mC25 m8. Multi-Step Problem53Use the diagram of the rectangular swimming pool and deck area to answer parts (a)­(e). The rectangles are similar.90 ft 60 ftA D25:9 3:5B E9:25 9:15C5:330 ft20 ft4. Multiple ChoiceA regular hexagon has an area of 64 cm2. Find the scale factor of this hexagon to a similar hexagon with an area of 121 cm2. 64:121 11:8B Ea. What is the area of the pool? b. What is the area of the deck? c. What is the ratio of the area of the pool tothe area of the deck?d. How many feet of fencing is needed to goA D8:11C121:64None of the abovearound the deck?e. If you paid \$750 for 125 feet of fencing in5. Multiple ChoiceThe ratio of the lengths of two equilateral triangles is 4:9. What is the ratio of their areas? 4:9 16:81GeometryGeorgia Standardized Test Practice Workbookyour front yard, and you are using the same fencing for the pool area, how much should it cost?A D74B E9:4 81:16C2:3Copyright © McDougal Littell Inc. All rights reserved.LESSON11.4GA QCC: 1, 30, 31, 32, 37Standardized Test PracticeFor use with pages 683­689GHSGT: 2, 4, 6, 7, 26, 35TEST TAKING STRATEGY1. Multiple ChoiceAlways look for shortcuts that will allow you to work through a problem more quickly.6. Multiple ChoiceFind the circumference of a circle with a diameter of 16 in. Round to the nearest hundredth. 25.13 in. 50.26 in. 201.06 in.B DFind the circumference of7.2 50A.A B C D E103.68 25.92 48.9 50.4 51.84AA C E50.27 in. 25.14 in.Chapter 112. Multiple ChoiceFind the radius of a circle with a circumference of 60 m. Round to the nearest hundredth. 9.55 m 19.10 m 9.54 mB D7. Multiple Choice A B C DFind the values of x and y. 4.8 1.4 4.8 4.8 1.4A12A C E4.37 m 19.09 mx x x x x21, y 25, y 25, y 31, y 31, y(3y5)3. Multiple Choice A B C D EFind the circumference of the circle. Round to the nearest hundredth. 9.43 cm 9.42 cm 28.26 cm 18.85 cm 28.27 cm3 cm220 C (5x 15)BE8. Multiple ChoiceFind the perimeter of the region bounded by the circular arcs and line segments. Round to the nearest hundredth, if necessary. 114.85 77.15 102.8 46.85 66.853 8 3 2 12A B C DA64. Multiple Choice A B C D EFind the length of AB . Round to the nearest tenth. 6.5 14.2 13.1 8.3 6.6BE 9.C 125Quantitative ComparisonConsider the circumference of the two circles described below. Choose the statement that is true. The quantity in column A is greater. The quantity in column B is greater. The two quantities are equal. The relationship cannot be determined from the given information. Column B Circle with diameter 4Geometry 75A B C D5. Multiple Choice A B C D EFind the radius of Round to the nearest tenth. 24.7 49.4 12.3 53.1 26.575 32.3C.CColumn A Circle with radius 4Copyright © McDougal Littell Inc. All rights reserved.Georgia Standardized Test Practice WorkbookLESSON11.5GA QCC: 30, 31, 32, 37Standardized Test PracticeFor use with pages 691­698GHSGT: 6, 7, 26, 27, 35TEST TAKING STRATEGYDo not panic if you run out of time before answering all of the questions. You can still receive a high test score without answering every question.6. Multiple Choice A B C D E1. Multiple ChoiceFind the area of a circle with a diameter of 7 inches. Round to the nearest hundredth. 153.94 in. 43.98 in. 38.482 2Find the radius of C, if the area of the shaded region is 47.5 cm2. 7 cm 7.5 cm 8 cm 8.5 cm 9 cm85Chapter 11A C EB D11.0 in.219.24 in.2in.22. Multiple ChoiceFind the radius of a circle with an area of 66.5 cm2. Round to the nearest tenth. 9.2 cm 2.3 cm 10.6 cmB D7. Multiple ChoiceA C E5.3 cm 4.6 cmFind the area of the shaded region. The three triangles are regular. Round to the nearest tenth. 67.7 cm2 35.2 cm2 39.3 cm2 46.1 cm2 56.9 cm24.33 cmA B C D E3. Multiple ChoiceFind the circumference of a circle whose area is 100 m2. Round to the nearest tenth. 45.4 m 15.9 m 31.8 mB DA C E35.4 m 17.7 mQuantitative ComparisonIn Exercises 8 and 9, use the diagram below to choose the statement that is true.A B C4. Multiple ChoiceFind the area of the sector shown in the diagram. Round to the nearest tenth. 34.5 ft2 36.1 ft2 12.0 ft2 18.1 ft2The value in column A is greater. The value in column B is greater. The two columns are equal. The relationship cannot be determined from the given information. Given:  QB bisectsA J K4A B C D E6 ft 115DB L 2 C28.6 ft2AQC.Q5. Multiple ChoiceA birthday cake is cut into 16 equal pieces. If the cake has a diameter of 14 inches, what is the area of one piece of cake? Round to the nearest hundredth. 38.48 in.2B DA C E7619.2in.25.5 in.2 9.62 in.2Geometry14.36 in.2Column A The area outlined 8. by ABKJ 9. The area of the circle with radius JQ.Column B The area outlined by JQL The area of the shaded regionGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON11.6GA QCC: 1, 30, 31, 32, 37Standardized Test PracticeFor use with pages 699­705GHSGT: 2, 4, 7, 10, 26TEST TAKING STRATEGYSketch graphs of figures in your test booklet to help you solve the problems.5. Multiple ChoiceIn Exercises 1 and 2, use the diagram below.A0 4 8BC12D16E20F24Find the probability that a point chosen at random in the circle lands in the shaded region. Round to the nearest tenth. 6.9%Chapter 11A B C D E 1. Multiple Choice A D26.8% 50.0% 55.6% 27.8%Find the probability that a point chosen at random on AE is on BD. 20% 35%B E656525% 40%C30%2. Multiple ChoiceFind the probability that a point chosen at random on BE is on CD. Round to the nearest hundredth. 0.15 0.27B E6. Multiple ChoiceFind the probability that a point chosen at random in the hexagon lands in the shaded region. Round to the nearest hundredth. 5.35% 21.36% 10.68% 38.28% 69.14%7 5A D0.18 0.45C0.25A B C D E 7.3. Multiple ChoiceFind the probability that a point chosen at random in the regular triangle lands in the shaded region. 25% 30% 331 % 3 40% 50%6 3A B C D EQuantitative Comparison4. Multiple ChoiceFind the probability that a point chosen at random lands in the shaded region. Round to the nearest tenth, if necessary. 39.3% 60.7% 64% 36% 37.6%4Use the diagram of the game board below. A point randomly chosen on the circle is worth the number outside the sector. A point landing in the inner circle is worth double the outside value. Choose the statement below that is true about the given number. The value in column A is greater. The value in column B is greater. The two values are equal.8 5 2 2 7A B C DA B C D E8The relationship 3 cannot be 6 determined from the given information. 1 Column A Probability of getting 4 points4 3Column B Probability of getting 3 pointsGeometry 77Copyright © McDougal Littell Inc. All rights reserved.Georgia Standardized Test Practice WorkbookLESSON12.1GA QCC: 3, 30, 33Standardized Test PracticeFor use with pages 719­726GHSGT: 20, 26TEST TAKING STRATEGYWork as quickly as you can through the easier sections, but avoid making careless errors on easy questions.5. Multiple Choice1. Multiple Choice Which of the figures shownis not a polyhedron? I. II. III.Use Euler's Theorem to find the number of faces when a polyhedron has 8 vertices and 12 edges. 4 10B EA D6 126C86. Multiple Choice A C EI only III only II and IIIB DII only I and IIWhich is the best description of the cross section of the figure shown? 8 A circleB C Dsquare rectangle ovalE2. Multiple ChoiceChapter 12The polyhedron below has how many faces F and edges E ? F F F F F 6, E 6, E 8, E 8, E 8, E 18 24 18 24 30pentagonA B C D E7. Multiple Choice A B C D EThe name of the regular polyhedron shown is tetrahedron. octahedron. cube. dodecahedron. iscosahedron. Choose the state-3. Multiple Choice A C EThe polyhedron below has how many vertices? 14 16 18 The solid below is bestB D15 178. Quantitative Comparisonment below that is true.A BThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column B The number of vertices on a solid with 22 faces, having 16 squares and 6 triangles4. Multiple Choicedescribed as aA B C D EC Dconvex, regular polyhedron. convex, nonregular polyhedron. nonconvex, regular polyhedron. nonconvex, nonregular polyhedron. none of theseColumn A The number of vertices on a solid with 15 faces, having 9 hexagons and 6 squares78GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON12.2GA QCC: 3, 30, 33, 37Standardized Test PracticeFor use with pages 728­734GHSGT: 9, 20, 26, 35TEST TAKING STRATEGYMake sure that you are familiar with the directions before taking a standardized test. This way, you do not need to worry about the directions during the test.6. Multiple Choice1. Multiple Choice A B C D EThe best mathematical name of the solid is right prism. right rectangular prism. cube. right pentagonal prism. right hexagonal prism.Find the surface area of the right cylinder. Round to the nearest hundredth. 8.4 in. 831.27 in.2 252 in.2 395.84 in.2 506.68 in.2 451.26 in.215 in.A B C D E2. Multiple Choice A DHow many lateral edges does the figure in Exercise 1 have? 4 15B E7. Multiple Choice5 10C7Use the diagram to solve for the value of x given that the surface area of the figure is 286 in.2.Chapter 12A B C7m14 in. 12 in. 6 in. 8 in. 7 in.9 in. 5 in.3. Multiple ChoiceFind the lateral area of theright prism shown.A B C D Ex105 m2 90 m2 85 m23mD E5m74 m2 114 m28mQuantitative Comparison In Exercises 8 and 9, use the solids to choose the statement below that is true.A B C8 in.4. Multiple Choice A B C D EFind the surface area of the regular right prism. 215 in. 105 in.2The value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column A Column B4 10 6 5 5 4160 in.22D187.5 in.2 270 in.24 in.55. Multiple ChoiceFind the surface area of a right rectangular prism with a height of 6 inches, a length of 2 inches, and a width of 8 inches. 96 in.2 152 in.2D B8. 9.Lateral area Surface areaLateral area Surface areaA C120 in.2E128 in.256 in.2GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.79LESSON12.3GA QCC: 3, 30, 33, 37Standardized Test PracticeFor use with pages 735­742GHSGT: 9, 20, 26, 35TEST TAKING STRATEGYIf you are not satisfied with your SAT score, remember that you can take it again.5. Multiple Choice AFor Exercises 1­3, use the diagram below.Find the surface area of the cone. Round to the nearest tenth. 317.0 m2 241.7 m2 239.4 m2 278.2 m2 452.4 m29m 6m6 cmB C5 cm 5 cmD E1. Multiple ChoiceFind the slant height of the6. Multiple Choice B Dpyramid.A C4.5 cm 6.5 cm 7.8 cm5.5 cm 6 cmUse the diagram to solve for x and y when the surface area is 138.23 m2. x x x x x 9.8 m, y 11 m, y 8 m, y 10.8 m, y 20 m, y 10 m 10.8 m 7.7 m 10.6 m 19.9 m2mA B CChapter 12E2. Multiple ChoiceFind the lateral area of theB Dyxpyramid.A C ED E57.5 cm2 32.5 cm2 90 cm265 cm2 78 cm27. Multiple Choice3. Multiple ChoiceFind the surface area ofB DFind the surface area of the solid. The cylinder and cones are right. Round to the nearest tenth. 8m 716.3 m2 867.1 m2 1168.7 m2 1055.6 m2 942.5 m215 m 6mthe pyramid.A C EA257.5 cm 90 cm265 cm2B C D E32.5 cm278 cm24. Multiple Choice A C EFind the slant height of the cone. Round to the nearest tenth. 20.0 B 8.9 7.1126m 8m10.6 14.48. Multi-Step ProblemDA regular pyramid has a triangular base with a base edge of 6 inches, a height of 10 inches, and a slant height of 10.33 inches.a. Sketch the solid. b. Find the lateral area.16c. Find the surface area. d. Double the lengths of the base edge,height, and slant height. What is the ratio of the surface area of the smaller pyramid to the larger pyramid?80 GeometryGeorgia Standardized Test Practice Workbook Copyright © McDougal Littell Inc. All rights reserved.LESSON12.4GA QCC: 1, 3, 30, 33, 37Standardized Test PracticeFor use with pages 743­749GHSGT: 2, 4, 9, 20, 26, 35TEST TAKING STRATEGYIf you find yourself spending too much time on one test question and getting frustrated, move on to the next question. You can revisit a difficult problem later with a fresh perspective.6. Multiple Choice1. Multiple ChoiceWhat is the volume of a prism with a rectangular base, with sides of 5 feet and 6 feet, and a height of 4 feet? 60 ft3Find the volume of theoblique prism.A B C D E156 cm3 144 cm3 8 cm 180 cm3 62.4 cm3 124.8 cm35 cm 6 cm 10 cmA C EB D240 ft3120 ft3 480 ft3180 ft32. Multiple ChoiceFind the value of x if the right prism has a volume of 24 m3. 1m 3m 5m2m7. Multiple Choice6mA C EB D2m 4mxFind the value of x if the volume of the prism is 105 cm3. 2 cm 3 cm 4 cm 5 cm 6 cm7 cm 10 cm 8 cmA B C D EChapter 123. Multiple ChoiceFind the volume of the right cylinder. Round the answer to the nearest hundredth. 4.2 ft 324.59 ft3 216.97 ft3 1996.22 ft3 681.64 ft3 2726.55 ft3xA B C D E8. Multiple Choice12.3 ftFind the value of x, if the volume of the cylinder is 301.6 in.3. 1.5 in. 3 in. 4.5 in. 5 in. 6 in.8 in. 4 in.A B C D Ex4. Multiple ChoiceFind the volume of a prism that has a height of 10.5 m and has a right triangle for a base. The legs of the triangle are 5 m and 7 m. Round answer to nearest hundredth. 183.75 m3 367.5 m3 180.04 m3B D9. Multi-Step ProblemA C E225.80 m3 316.14 m3You have two containers. One is a cylinder with a height of 15 inches and a diameter of 10 inches. The other side is a cube with sides of 12 inches.a. Sketch the containers. b. Find the volume of the cylinder.5. Multiple ChoiceA cylinder has a radius of 24.6 in. and a volume of 29,468 in.3. Find its height. 14.5 in. 16 in.B Ec. Find the volume of the cube. d. How many gallons of water are needed toA D15.5 in. 16.5 in.C15 in.fill the cylinder? (Hint: 1 gallon of water is 0.1337 ft3.)GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.81LESSON12.5GA QCC: 1, 3, 30, 33, 37Standardized Test PracticeFor use with pages 752­758GHSGT: 4, 9, 20, 26, 35TEST TAKING STRATEGYThe mathematical portion of the SAT is based on material taught in your high school mathematics courses. One of the best ways to prepare for the SAT is to keep up with your regular studies and do your homework.4. Multiple Choice1. Multiple ChoiceFind the area of the base of the pyramid. The base is a regular hexagon. Round to the nearest tenth. 187.1 in.2 432.0 in.2 374.1 in. 498.82Find the value of x if the volume is 113.1 m3. Round to the nearest tenth. 1.7 m 3.0 m 3.1 m 1.8 m 2.4 mx12 cmA B C D EA18 in.B C D15 in.249.4 in.2 in.212 in.E2. Multiple ChoiceChapter 12Find the volume of the cone. Round to the nearest tenth. 1470.3 in.3 545.3 in. 490.1 in.3Quantitative Comparison In Exercises 5 and 6, use the diagram of the solids to choose the statement below that is true about the given values.A B CA B C D EThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column A7 in.1960.4 in.3313 in. 12 in.D5881.1 in.3Column B15 in.3. Multiple Choice A B C D EFind the volume of the pyramid. Round to the nearest tenth. 33.3 cm3 141.4 cm3 100 cm3 47.1 cm3 37.5 cm35 cm 8 cm 5 cm 9 cm 12 in.10 in.5. 6.Area of base VolumeArea of base Volume82GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.LESSON12.6GA QCC: 3, 30, 33, 37Standardized Test PracticeFor use with pages 759­765GHSGT: 9, 20, 26, 35TEST TAKING STRATEGYStaying physically relaxed during the SAT is very important. If you find yourself tensing up, put your pencil down and take a couple of deep breaths. This will help you stay calm.6. Multiple Choice A B C D E1. Multiple Choice A C EIf a plane contains the center of a sphere, then the intersection is called a hemisphere. semi-circle. half-circle.B DFind the surface area of the hemisphere. Round to the nearest tenth. 706.9 cm2 1413.7 cm2 2120.6 cm2 3534.3 cm2 7775.5 cm215 cmdiameter. great circle.2. Multiple Choice A B C D EFind the surface area of the sphere. Round to the nearest tenth. 175.9 in.2 615.6 in.2 307.8 in.2 461.8 in.2 1436.8 in.27 in.Quantitative Comparison In Exercises 7 and 8, use the diagrams to choose the statement that is true about the given values.Chapter 12A B CThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column A Column B6 cm3. Multiple Choice A B C D EFind the volume of the sphere. Round to the nearest tenth. 44,602.2 m3 1520.5 m3 1393.8 m3 5575.3 m3 1858.4 m37.22 mD5 cmSurface Area VolumeSurface Area Volume4. Multiple Choice A C EWhat is the radius of a sphere with surface area of 1963.5 cm2? 11 cm 11.5 cm 13 cmB D8.12.5 cm 12 cm5. Multiple ChoiceFind the circumference of the great circle if the volume of the sphere is 179.6 m3. Round to the nearest tenth.A C E22 m 11 m 26.6 mB D23.8 m 11.9 mGeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.83LESSON12.7GA QCC: 3, 30, 33Standardized Test PracticeFor use with pages 766­772GHSGT: 20, 26, 35TEST TAKING STRATEGYWhen checking your work, try to use a method other than the one you originally used to get your answer. If you use the same method, you may make the same mistake twice.6. Multiple ChoiceIn Exercises 1­3, use the similar figures below.3 4.5 4 2 3 6Which solids below are III.10 3similar? I.5 2 2 3 39 2II.Figure A4 38Figure B 1. Multiple ChoiceFind the scale factor forB Esolid A to solid B.A1:2 2:31:3 2:5C1:4A CChapter 12DI and II II and III none of theseB DI and III I, II, and III2. Multiple Choice A DFind the ratio of the surface areas for A to B. 4:9 1:4B EE1:9 1:16C4:257. Multi-Step ProblemUse the similar solidsshown below.9.9 in. 13.2 in.3. Multiple Choice A DFind the ratio of the volumes for A to B. 1:27 8:125B E1:8 1:64C8:27A15 in.B4. Multiple ChoiceTwo prisms are similar with a scale factor of 1:4. Find the volume of the first given that the volume of the second is 2400 ft3. 600 ft 3003a. What is the scale factor of prism A toprism B?b. What is the height of prism B? c. What is the volume of prism B if theA C EB D37.5 ft 75 ft33150 ft3 ft3volume of prism A is 367.5 in.3?d. What is the surface area of a third prism5. Multiple ChoiceTwo pyramids are similar with a ratio of surface areas of 25:64. Find the volume of the second pyramid given that the first has a volume of 250 m3. 61.0 m3 1024 m3 4194 m3GeometryGeorgia Standardized Test Practice Workbookthat is similar to A and B, and has a volume of 45.94 in.3?A C E84B D640 m3 97.7 m3Copyright © McDougal Littell Inc. All rights reserved.Georgia End-of-Course Practice TestFor use after Chapters 1­121. Multiple Choice A DFind the length of AC if AB is 8, BC is 13, and B is between A and C. 5 18B E6. Multiple Choice A C EWhat is the value of x?4x 6x 3 65 4 8B D4.5 18 21C132. Multiple Choice A C EFind the measure of1.7. Multiple Choice5x248 52 42B D50 321 100 48 XY is the perpendicular bisector of AB. Find AO and AY. AO AY AO AY AO AY AO AY AO 12, 4 8, 4 16, 4 8, 19 16, AYA3 x 2A B C D E3. Multiple ChoiceWhich property of equality matches the conditional statement &quot;If WX XY and XY YZ, then WX YZ?&quot; Addition property Symmetric property Reflexive property Substitution property Transitive propertyY2y 11O3y7A B C D EX41 x 2B12198. Multiple Choice 4. Multiple ChoiceFind the values of x and yt2(2y 1) (3x 4)bisectors ofAIn the diagram, the angle ABC meet at point D. Find DG.A E D F 80 cmwhen a b.A B C D E10 cm 15 cm 20 cm 30 cm 35 cm Cx y x y x y x x 2.27.3, 22 30, 22 27.3, 43.5 30, y 30, yaB Cb86D EG B 50 cm43.5 21 Find the measures of509. Quantitative Comparison AChoose the statement below that is true. The value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information.5(y 2)5. Multiple Choice1andA B C D EB C Dm 1 m 2 m 1 m 2 m 1 m 1 m 180 , 130 50 , 1001265 , m 2 65 , m 2 50 , m 2115 100 115Column A Column B y x352(x10) 11055Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice Workbook85Georgia End-of-Course Practice TestFor use after Chapters 1­1210. Multiple ChoiceName the type of transformation and the coordinates corresponding to point A . rotation about 0, 1 ; 1, 5 rotation about 1, 1 ; 3, 5 reflection in line y 1; 1, 5 reflection in line y 2; 2, 5 translation in line y 1; 2, 5C A By14. Multiple Choice ASolveB E6 x 5 xC3 1.A B C D E5 67 5.38 3A1BDC1 x15. Multiple ChoiceIn the diagram,DAB BDAC . ECFind the length of AE.A C E8 1 5 3 1 13 3B D4 124B6EC8A11. Multiple ChoiceGiven points A 1, 2 and B 5, 6 , find point C on the x-axis so that AC BC is a minimum.5 2,16. Multiple ChoiceA D0B E2, 0 0, 2C3, 0ABCD ~ EFGH. The perimeter of ABCD is 16. What is the length of BC?B C E5 80, 3A DF7 1212. Multiple ChoiceThe coordinates of ABC are A 3, 2 , B 1, 6 , and C 2, 3 . The component form of HJ is 2, 6 . What are the coordinates of A B C after the translation using HJ ?\ \HGA D3.5 4B E2.5 5C6A B C D EA 5,4 , B 1,12 , C 4, 9 4, 3 9 12 , C 2,917. Multiple ChoiceFind the length of x in theA 5, 4 , B 1, 0 , C 0, A 5, 8 , B 1, A 5, A 6, 12 , B 4 , B 1, 0 , C 0,diagram.A B6.9 m 8.4 m 5.25 m 6.25 m 10.5 m10 m 14 m36 , C4, 18C D Ex6m13. Multiple ChoiceTranslation 1 maps A to A . Translation 2 maps A to . What translation maps A to A ? 2, y 1, y 4 4 12 8 8 6 2Translation 1: x, y  x Translation 2: x, y  xA B C D E8618. Multiple Choice A C EFind the value of x. Round to the nearest tenth if necessary. 7.2 7.510x, y  x x, y  x x, y  x x, y  x x, y  xGeometry1, y 3, y 2, y 1, y 3, yB5.6 4.8813.3 Dx6Georgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.Georgia End-of-Course Practice TestFor use after Chapters 1­1219. Multiple ChoiceFind the value of y. Round to the nearest tenth if necessary. 5.7 11.5B25. Multiple Choice A16Find the value of x.(7x 15)25 10 45B D20 15yA C E8.0 13.98C E12.6 D(3x15)26. Multiple Choice 20. Multiple Choice A C EFind m 1.Find the value of x that makes the triangle obtuse. 27.8 8 13 8 7B DA C90 75 15B D45 60120 30 17 15 7 1417x32E21. Multiple ChoiceThe side of an equilateral triangle is 11 cm. Find the length of an altitude of the triangle.11 2 11 227. Multiple Choice A B C DFind the values of x and y. Round to the nearest tenth. x x x x x 10, y 12, y 19.4, y 10, y 12, y 7.7 7.7 7.1 7.1 7.15 6 3yA DB8.311 2C7.8x2E31222. Multiple Choice A B C D EFind the area of the triangle. Round to the nearest tenth. 77.6 cm2 47.3 cm211 cm 38E28. Multi-Step Problemis h,The center of a circle 2 and its radius is 4.94.6 cm2 155.1 cm2 82.5 cm2a. If another point on the circle is 3, 2 ,what is the value of h? b. What is the equation of the circle in standard form? c. Graph the equation.29. Multiple Choice23. Multiple ChoiceFind m A. Round to theA Bnearest tenth.A C E28.1 48.6 41.4B D61.9 59.225.5 22.5What is the sum of the measures of the interior angles of a convex 17-gon? 2340 2880B EA D2520 3060C2700 24. Multiple Choice If LK is tangent to find JL.A C ECJ,30. Multiple Choice AFind the area of the regular pentagon. Round to the nearest tenth. 48.8 61.9 60.0B D7 9 11B D8 1054.6 78.55J9C EKLCopyright © McDougal Littell Inc. All rights reserved.15GeometryGeorgia Standardized Test Practice Workbook87Georgia End-of-Course Practice TestFor use after Chapters 1­1231. Multiple ChoiceA regular octagon has an area of 81 ft2. Find the scale factor of this octagon to a similar octagon with an area of 625 ft2. 3:5 8:625B E36. Multiple ChoiceFind the volume of the sphere in Exercise 35. Round to the nearest tenth. 301.6 in.3 603.2 in.3 3619.1 in.3B DA C E7238.2 in.3 1809.6 in.3A D9:25 64:390,625C27:12532. Multiple Choice A B C D EFind the area of Round to the nearest tenth. 89.8 cm2 44.9 cm 80.12C.8.1 cm 65Quantitative Comparison In Exercises 37­39, use the diagrams below to choose the statement that is true about the given value.A B C DThe value in column A is greater. The value in column B is greater. The two values are equal. The relationship cannot be determined from the given information. Column A6m 8mcm22C134.7 cm2 160.2 cm33. Multiple Choice A C EFind the diameter of B, if the area of the shaded region is 32.07 in.2. 3.5 in. 14 in. 24.5 in.B DColumn B15 m7 in. 49 in.7511 m34. Multiple ChoiceFind the probability that a point chosen at random in the circle lands in the shaded region. Round to the nearest tenth. All shaded regions have a central angle equal to 15 . 25% 33.3% 50%B D37. 38. 39.Lateral area Surface area VolumeLateral area Surface area VolumeA C E30% 42%35. Multiple Choice A B C D EFind the surface area of the sphere. Round to the nearest tenth. 301.6 in.2 7238.2 in.2 603.2 in.2 1809.6 in.2 3619.1 in.212 in.88GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.ANSWERSChapter 1Section 1.11. C 2. B 3. C 4. D 5. B 6. C 7. a. row 5: 1, 4, 6, 4, 1; row 6: 1, 5, 10, 10, 5, 1 b. The first and last number in each row is 1. Every other number in each row is formed by adding the two numbers immediately above the number. c. Each row has one more entry than the previous row.AnswersSection 1.71. C 8. D 2. B 9. C 3. D 10. A b. 180 in. 4. C 5. E 6. E 7. C11. a. 2000 in.2c. 2279 in.2; 192 in.; about 14.0%Chapter 2Section 2.11. C 2. B 3. A 4. D 5. E 6. B 7. a. If there are three noncollinear points, then there is exactly one plane containing those points. b. If there is exactly one plane containing three points, then they are noncollinear points. c. If there are not three noncollinear points, then there is not exactly one plane containing them. d. If there is not exactly one plane containing three points, then the three points are not noncollinear. e. yesSection 1.21. D 8. B 9. a.B A D A E C B F D H C G2. E3. B4. E b.5. E6. B7. Bc.B F A E D H C Gd. rectangular prismSection 2.21. E 2. B 3. D 4. A 5. D 6. B 7. DSection 2.31. C 2. A 3. E 4. C 5. D 6. C 7. a. If you get caught exceeding the speedSection 1.31. E 8. A 2. B 9. C 3. D 10. D 4. B 5. A 6. C 7. C 11. A 12. A 13. DSection 1.41. C 8. C 2. A 3. D 4. C 5. B 6. B 7. Alimit, then you will get a speeding ticket. b. If you get a speeding ticket, then you will pay higher insurance rates. c. If you do not get a speeding ticket, then you do not get caught exceeding the speed limit; ~q  ~p d. If you get caught exceeding the speed limit, then you will pay higher insurance rates; statement p must be true for q and r to be true.Section 2.4Section 1.51. C 8. E 2. B 9. C 3. D 10. B 4. A 5. B 6. B 7. C1. E2. B3. C4. B5. A6. D7. a. Angle addition postulate c. Substitution property e. Substitution propertyb. givend. given f. Distributive propertySection 1.61. D 8. C 2. D 9. C 3. D 10. C 4. C 5. C 6. B 7. BCopyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice WorkbookA1Answers continuedAnswersg. Given that m ABE m EBC and m EBD m DBC, it can be shown that m ABE 2 m EBD using the angle addition postulate, substitution property, and distribution property of equality. b. Statements 1. a n 2. 3 4 Reasons 1. Proven in part (a). 2. Alt. int.Section 2.51. E 8. B 2. D 3. C 4. B 5. E 6. C 7. BTheorem 3. 4 is a right angle. 3. Transitive Prop. of 4. b n 4. Def. of perp. linesSection 3.61. B 8. B 2. D 9. B 3. C 4. C 5. E 6. A 7. ASection 2.61. D 8. B 2. E 9. C 3. D 10. A 4. C 5. A 6. B 7. DSection 3.71. B 8. a. 2. Ey3. C4. A5. A b. y c. y d. y6. C1 3x 1 37. EChapter 3Section 3.11. E 8. A 2. E 3. B 4. D 5. C 6. C 7. E1 1B(5, 2) A(2, 1)x3x 3x1 37 17e. m    c. AB, EF, BC, FGSection 3.21. B 8. A 2. D 3. C9. a. EH, FG, BC  b. DC, AB, AE, DH d. all of parts (a) and (c)   Chapter 4Section 4.11. E 8. E 2. C 9. B 3. D 4. C 5. D 6. D 7. B4. E5. C6. C7. BSection 4.21. C 8. B 3. B 4. B 5. C 6. C 7. A 2. D 3. B 4. A 5. D 6. E 7. ASection 3.31. E 8. C 2. CSection 4.31. E 8. B 3. E 4. B 5. D 6. A 2. C 9. D 3. A 10. C 4. A 5. C 6. E 7. A 11. D ReasonsSection 3.41. B 2. D12. Sample answers: a. Statements 1. AB 2. AD 3.Section 3.51. C 2. A 3. E 4. A 5. E 6. D 7. Sample answers: a. Statements 1. a b, m n, 2. 3. 4. 5. Reasons 1. Given 2. Def. of perp. lines 3. Corresp. Post. 4. Transitive Prop.AF, BD AD ADBFD1. Given 2. Reflexive Prop.ADFm 1 is a right angle. 3 1 3 is a right angle. a naof Congruence 3. SSS Congruence Postulateof5. Def. of perp. linesA2GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.Answers continued14. a. Statements b. Statements 1. Reasons Reasons 1. Given 2. ReflexiveAnswersDAB FE FE BC BC FE ACDAF1. Corresp. parts of 2.2. BC 3. AFAB 4. AF5. AF 6. AE 7.AE; AC AC AC3. 4. 5. 6.ACDAED7.triangles are . Given Segment Add. Postulate Substitution property of equality Substitution property of equality Transitive property of equality SAS Congruence Postulate1 2 2. AG1.3, 4 AG3.AGCProperty of Congruence AGE 3. AAS Congruence TheoremReasonsb. Statements 1.1. Given 2 4 2. BGC FGE 2. Vert. Angles Thm. 3. GC GE 3. Corresp. parts of triangles are . 4. BEG FEG 4. ASA Congruence Postulate c. Statements 1. GD 2. Reasons 1. Reflexive Prop.c. Statements 1. CD 2.Reasons 1. Corresp. parts ofED FEDGDBCDtriangles are . 2. SSS Congruence Postulateof Congruence AGC AGE, GC GE m AGE m CGD m EGD m EGD CGD EDG5. Substitution 2. Corresp. partsSection 4.41. C 2. D 3. B 4. D 5. A 6. D 7. C 8. Sample answers: a. Statements 1. AB CD, Reasons 1. Given3. m AGC 4. m AGCCB DE, AB CD 2. ABC BCD, BCD CDE 3. ABC CDE4. 5.2. Alt. int. AnglesBAC ABCDCE CDETheorem 3. Transitive prop. of equality 4. Corresp. 5. ASA Congruence PostulateReasons 1. Corresp. parts of180 , m AGE 180 5. m AGC 180 6. EGD7.triangles are . 3. Def. of congruence 4. Def. of linear pairCDGprop. of equality supp. to same are . 7. SAS Congruence Postulate6. 2Section 4.61. B 8. D 2. D 9. A 3. E 4. B 5. A 6. D 7. Cb. Statements 1. AC 2. ACCECE 3. C is midpoint of AE.Section 4.51. D 8. C 2. C 9. A 3. C 10. Etriangles are . 2. Def. of 3. Def. of midpointSection 4.71. D 8. C 2. B 3. C 4. D 5. B 6. E 7. AChapter 5Section 5.14. C 11. E 5. D 6. A 7. B 1. E 2. C 3. B 4. A 5. A 6. A 12. B 13. CGeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.A3Answers continuedAnswers Section 6.2 Section 5.21. B b. 2. By1. C 3. B 4. A 5. C52. E3. B4. B5. D6. E7. A6. E8. C7. a. circumcenter c. 4, 2 d. about 2.5 milesSection 6.31. E 2. D 3. C 4. C1 3,5. C3 2,6. B1 1 xSection 5.31. B 8. B 2. D 9. D 3. E 4. A 5. B 6. C 7. Aso BD The slope of AD and CB is so AD CB. b. AD CB 10, so AD CB; CA BD 13, so CA BD  4 7 c. equation for CD: y 5x 5;  2x 14; equation for AB: y lines intersect at E AE EB 5 211 2,7. a. The slope of BD and AC isAC;3 ; CEED3;Section 5.41. A 8. C 2. D 3. E 4. C 5. B 6. C 7. BSection 6.41. B 8. D 2. B 9. A 3. D 10. C 4. E 5. E 6. A 7. CSection 5.51. C 8. A 2. A 3. D 4. D 5. B 6. E 7. ASection 6.51. B 8. A 2. C 3. C 4. D 5. D 6. A 7. BSection 5.61. E 6. a. 2. C 3. DB4. B5. ASection 6.61. A 7. a.3 22. D b. 13. C4. C5. D6. BAC Bb.ACDc. 125d. BCe. m BCDm Am BEF because opposite sides of rectangle are congruent. m DGF m EFG 90 by def. of a rectangle. m EFC m EFG 180 and m DGA m DGF 180 because linear angles are supplementary. m DGA 90 180 and m EFC 90 180 by Substitution Prop. of Equality. m DGA m EFC 90 by Subtraction Prop. of Equality. m A m B m C 60 because regular triangles have 3 congruent angles. ADG CEF by AAS.c. DGChapter 6Section 6.11. A 8. B 2. C 3. D 4. D 5. E 6. C 7. DSection 6.71. D 2. B 3. A b. 92 4. C 5. E 6. D 7. A 8. a. 20ft2in.2c. 11.25ft2A4GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.Answers continuedSection 7.6 AnswersCumulative ReviewChapters 1­61. B 2. C 3. C 4. D 5. A 6. B 7. A 8. C 9. a. If you stay up late, then you are tired. b. If you are tired, then you are cranky. c. ~q  ~p; if you are not tired, then you did not stay up late. d. If you stay up late, then you are cranky. 10. C 11. E 12. D 13. B 14. C 15. A 16. B 17. D 18. C 19. A 20. D 21. B 22. B 23. E 24. D 25. E 26. C 27. C 28. D 29. A 30. D 31. B 32. B 33. B1. C2. B3. E4. E5. B6. A7. Sample answers: a. b.c.d.Chapter 7Section 7.11. D 2. C 3. B 4. D 5. B 6. AChapter 8Section 8.11. B 3. E 4. C 5. B 6. E 7. A 8. C 2. C 9. A 3. B 4. D 5. E 6. E 7. CSection 7.21. D 2. B 8. a. A 1,B 5,y 1 14, 6 , C 3, 1Cxb. A BSection 8.21. D 8. A 2. C 9. B 3. C 10. C 4. D 5. E 6. D 7. CSection 8.3A1. CB2. B3. D4. E5. D6. A7. C8. C d. Ac. ABB1, 4 , 5, 6 , Cy3, 1BB3, 4 , 1, 6 , CySection 8.41, 11. C2. B5 133. D4. A5. E6. a. 6.4b. 3.75 c. d. 20.3 e. Sample answer: Show that the ratio of all sides 0.625.AA1 1 x 1Section 8.51. AxCC12. C3. D4. E5. B6. CSection 8.6e. 1, 0 1. D 8. A 3. D 4. E 5. C 6. A 7. A 2. C 2. E 3. B 4. A 5. C 6. B 7. ASection 7.31. BSection 8.71. A 2. E 3. C 4. B 5. DSection 7.41. C 2. D 3. B 4. E 5. D 6. BSection 7.51. C 2. A 3. A 4. B 5. DGeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.A5Answers continuedAnswers Section 9.56. a.y1. AB2. C 9. B3. B4. E5. D6. B7. CA8. BSection 9.6C1 1 x1. D 8. A2. C 9. B3. C4. B5. E6. A7. BSection 9.7b.yB' A'A 2, 10 , B 6, 12 , C 6, 6c. 61. D 8. E2. A3. C4. E5. B6. A7. B9. a. about 680 mi h; 48.6 NE from horizontal b. about 361 mi h; 33.8 NW from horizontal c. 735 mi h; 43.9 NE from horizontalC'xd. 297 mi h; 42.2 NW from horizontald.yAB''A''B CC''1 5 2, 2 , 3 2, 3 , 3 3 2, 2Chapter 10Section 10.11. B 2. D 3. B 4. E 5. D 6. A 7. E 8. a. 2, 3 , 3 b. 5, 0 , 3 c. 2, 0 , 5, 3d. two external tangents; yxx10,yx1e.2f. 4Section 10.21. C 2. B 9. A 3. D 10. C 4. D 5. B 6. C 7. E 8. C 3. E 4. A 5. B 6. C 7. CChapter 9Section 9.11. C d. 2. D 8. a. 9.8 ft b. 17.8 ft c. 12.3 ftSection 10.31. D 8. E 2. B 9. C 3. C 10. B 4. A 5. C 6. D 7. BHTG ~AHG ~ATHSection 10.41. B 2. C 9. A 3. E 10. B 4. A 5. D 6. C 7. BSection 9.21. D 8. A 2. D 3. B 4. C 5. D 6. D 7. A8. DSection 10.5 Section 9.31. C 8. A 2. E 9. B 3. B 4. A 5. C 6. A 7. D 1. A 8. B 2. B 9. A 3. E 4. D 5. D 6. A 7. CSection 10.6 Section 9.41. D 8. A 9. a. 5 d. 5 unitsA61. E 3. A 4. E 5. C 6. C 7. B 8. D2. C3. D4. C5. D6. B7. A2. C2 unitse.b.5 2 units 2c.5 units 25 3 units f. 32.2 square units 2Copyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice WorkbookAnswers continuedChapter 129. a. c.Answers1b. xy1y 2 9 d. Sample answers: 1, 5 ; 0, 0 ; 5, 022Section 12.11. E 8. A 2. C 3. C 4. B 5. B 6. C 7. E1 2 xSection 12.21. D 8. A 2. B 9. A 3. B 4. A 5. C 6. D 7. ESection 10.71. B 8. a.2 2 xSection 12.33. CA(4, 6)2. Ey4. E5. A6. E7. D1. C 8. a.2. B3. E10.334. D5. A6. E27. Eb. 92.97 in. d. 1:46c. 108.57 in.2B ( 2,4) C (10,4)b. A: x4 2 10 42 22y y y 426 422100 36 36Section 12.41. C 8. E 9. a.5 12 15B: x C: x c. 4,2. B3. D 4. A 5. B6. E7. BChapter 11Section 11.11. B 8. E 2. A 9. B 3. C 10. B 4. D 5. D 6. C 7. B b. 1178.1 in.3 4. A 5. C 6. C 7. B12 12c. 1728.0 in.3Section 11.21. E 8. B 2. B 3. Bd. about 5.1 gallonsSection 12.51. C 2. D 3. A 4. B 5. A 6. ASection 11.31. B 2. D 3. C 4. B 5. D c. 4:5 6. A 7. E 8. a. 1200 ft2 e. \$1440 b. 1500 ft2 d. 240 ftSection 12.61. D 2. B 3. D 4. B 5. A 6. C 7. B 8. A Section 12.7 1. D 2. A 3. C 4. B 5. C3Section 11.41. B 8. D 2. A 9. A 3. D 4. C 5. A 6. E 7. D6. A7. a.1:4 3b. 20 in.c. 871.1 in.d. 101.8 3. B 4. B 5. E 6. C 7. Din.2Section 11.51. E 8. B 2. D 9. BSection 11.61. D 2. D 3. A 4. B 5. E 6. C 7. AGeorgia End-of-Course Practice Test 1. E 2. D 3. E 4. B 5. C 6. A 7. E 8. D 9. A 10. C 11. B 12. D 13. B 14. B 15. E 16. A 17. C 18. D 19. DCopyright © McDougal Littell Inc. All rights reserved.GeometryGeorgia Standardized Test Practice WorkbookA7Answers continuedAnswers20. C 25. D c.1 1 x y21. E 26. B b. x22. A 27. A23. B24. B28. a. 332y221629. C 35. D30. E 36. B31. B 37. B32. E 38. A33. C 39. A34. CA8GeometryGeorgia Standardized Test Practice WorkbookCopyright © McDougal Littell Inc. All rights reserved.`

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