#### Read Microsoft Word - Geometry Honors Final Review with answers 2009-10.rtf text version

`2009-2010 OCPS End of Course Review for Geometry HonorsYou may use a 4-function calculator. FCAT Reference Sheets are permissible and recommended. It will be helpful to use your own graph paper to complete some the problems. If you have forgotten a particular skill, the lesson number (for the McDougal Littell Geometry) is provided as a reference for each problem. 1. Write an equation in point-slope form of the line through point J(­9, ­8) with slope 5. (Section 3-6)2. Give the slope-intercept form of the equation of the line that is perpendicular to ­7x + 9y = 13 and contains P(­10, ­3). (Section 3-7)3. Complete the proof. Given: Prove:Iand(Through out Sections 4-2 to 4-4)KJHL4. Where can the perpendicular bisectors of the sides of a right triangle intersect?(Section 5-2)5. Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 138 ft from camera 2, which was 155 ft from Camera 3. Cameras 1 and 3 were 118 ft apart. Which camera had to cover the greatest angle? (Section 5-5)6. Could the lengths given for each of the following be the lengths of the sides of a triangle? Explain your reasoning 7, 25, 10 ; 10, 15, 22 ; 20, 5, 10 ; 15, 9 , 24 (Section 5-5)7. Given the coordinates of a triangle are : A (-4, 1) ; B ( -3, 5) ; C (-1 , 1), graph the triangle: a.) reflect the triangle over the x-axis b.) reflect the original triangle over the y-axis.(Section 7-2)8. Based on the pattern, what is the next figure in the sequence?(Section 1-1)OCPS End of Course Review for Geometry Honors 2009-2010Page 1 of 139. Find the distance between points P(2, 1) and Q(4, 2) to the nearest tenth. 10. Name the intersection of plane MOL and plane NOL. 11. Identify the hypothesis and conclusion of this conditional statement: If tomorrow is Monday, then yesterday was Saturday.(Section 1-3) (Section 1-2) (Section 2-1)12. Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the three given statements. If a truck weighs more than 2,000 pounds, then it weighs more than Juan's car. If something weighs more than Juan's car, then it is too heavy for the bridge. The truck weighs 2,150 pounds. (Section 2-3) 13. Name the Property of Equality that justifies the statement: If l = m, then . (need to study all properties) (Section 2-4)14.andare complementary angles. m=, and m=. Find the measure of each angle. (Section 1-6)15. Line r is parallel to line t. Find m 5. The diagram is not to scale.r 7 1 t 139° 3 4 2 5(Section 3-3)616. Find the values of x, y, and z. The diagram is not to scale.44° 11° 62° x° z° y°(Section 4-1)17. How many sides does a regular polygon have if each exterior angle measures 45?(Section 11-1)OCPS End of Course Review for Geometry Honors 2009-2010Page 2 of 1318. Find the missing angle measures. The diagram is not to scale.111° 110° x° y° 76°(Section 11-1)19. Givenand, find the length of QS and TV.(Section 4-2)20. What other information do you need in order to prove the triangles congruent using the following Congruence Postulates: a) SAS b) SSS c) ASA d) AAS ? (Sections 4-3 &amp; 4-4)ABCD21. Find the values of x and y.A(Section 4-1)y°||x° B( (70° D C Drawing not to scaleOCPS End of Course Review for Geometry Honors 2009-2010Page 3 of 1322. What additional information will allow you to prove ABC  DEC congruent by the HL Theorem? (Section 4-6)A|BCD|E23. For the parallelogram, if3 4andfindThe diagram is not to scale. (Section 6-2)2124. In the rhombus, m  1  18 x, m  2  2 x  y , m  3  45 z. Find the value of each variable. The diagram is not to scale. (Section 6-4)|3 2|1|25.andR|Find|The diagram is not to scale.(Section 6-5)U||T26. A map of Europe has a scale of 1 cm to 100 km. If the distance between Paris and Munich is 534 km, how far apart are they on the map, to the nearest tenth of a centimeter? (Section 8-1)OCPS End of Course Review for Geometry Honors 2009-2010|||SPage 4 of 1327. Find the geometric mean of the pair of numbers: 72 and 8(Section 8-2)28. Solve for x.(Section 8-2)x&gt;x+2 x + 12&gt;x+529. B is the midpoint ofD is the midpoint ofCand AE = 25. Find BD. The diagram is not to scale. (Section 5-4)BDAE30.bisectsFind the value of x. The diagram is not to scale.E(Section 5-1)|)24° GDOCPS End of Course Review for Geometry Honors 2009-2010)|6x + 18 F15xPage 5 of 1331. Write the contrapositive of the conditional statement illustrated by this Venn diagram.(Section 2-3)CatsPersians32. Find the value of x. Round your answer to the nearest tenth.(Section 9-5)8x Not drawn to scale33. Find the value of x. Round to the nearest tenth.x  14 Not drawn to scale(Section 9-5)34. An airplane over the Pacific sights an atoll at an angle of depression of 25 . At this time, the horizontal distance from the airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter? (Section 9-5)x 4629 m Not drawn to scaleOCPS End of Course Review for Geometry Honors 2009-2010Page 6 of 1335.Find the area. The figure is not drawn to scale.9 cm 8 cm 15 cm(Section 1-7)9 cm13 cm36. Find the area. The figure is not drawn to scale.(Section 6-7)20 in. 12.6 in. 31.5 in.37. Find the area of the parallelogram. Leave your answer in simplest radical form. (Section 6-7)14.5 in.20 ft 13 ft 12 ft Not drawn to scale38. A triangle has side lengths of 6 cm, 8 cm, and 9 cm. Classify it as acute, obtuse, or right. (Section 9-3)39. Find the area of the regular polygon. Give the answer to the nearest tenth: hexagon with side 6 yd. (Section 11-2)OCPS End of Course Review for Geometry Honors 2009-2010Page 7 of 1340. Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form. (Section 9-4)x 30° 26yNot drawn to scale 41. Find the area of an equilateral triangle with side 7. Leave in simplest radical form. (Section 11-2)42. Find the area of the figure to the nearest tenth.(Section 11- 5)135° 543. Find the surface area of the cylinder in terms of .6 in.(Section 12 ­ 2)18 in.Not drawn to scale44. Find the volume of the composite space figure to the nearest whole number.(Sections 12-2 to 12- 4)6 mm11 mm 5 mm Not drawn to scaleOCPS End of Course Review for Geometry Honors 2009-2010Page 8 of 1345. Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.(Section 12 - 6)16 cm46. Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. (Section 10-2)2x + 63 x247. AB = 12, BC = 8, and CD = 5. Find x.x D C B A(Section 10-5)48. Write the standard equation for the circle.center (3, ­5), r = 2(Section 10-6)49. Given the coordinates of  ABC, A( -1, -3) , B (1 , -1) and C (-1, 0) , sketch the image of the triangle after the translation: (x , y) ( x ­ 3 , y + 4) (Section 7­4)50. A blueprint for a house has a scale of 1 in. : 50 in. A wall in the blueprint is 4 in. What is the length of the actual wall in feet? (Section 8-2)OCPS End of Course Review for Geometry Honors 2009-2010Page 9 of 13Additional Topics to be studied:-all points of concurrency-complementary/ supplementary angles-angle relationships formed by parallel lines and a transversal-properties of parallelograms-proving triangles by SSS, SAS, ASA, and AAS-inverse, converse and contrapositive-special right triangles: 30-60-90 and 45-45- 90-application of formulas on the reference sheet for area and volumeOCPS End of Course Review for Geometry Honors 2009-2010Page 10 of 13OCPS Geometry Honors End of Course Review (2009-2010) Answer Section1. ANS: y + 8 = 5(x + 9) 2. ANS: y   3. ANS:9 111 x 7 7Reason 1.) Given 2.) Vertical Angles Theorem 3.) Angle- Side ­ Angle 4.) CPCTCStatements 1.) H   K ; HJ  KJ 2.) IJH  LJK 3.) IJH   LJK 4.) IJ  LJ4. ANS: on the triangle 5. ANS: camera 1 6. ANS: 7, 25 , 10 10, 15 , 22 20, 5 , 10 15, 9, 24 is not a triangle since 7 + 10 &lt; 25 is a triangle is not a triangle since 10 + 5 &lt; 20 is not a triangle since 15 + 9 = 247. ANS: a.) A' (-4, -1) , B' (-3, -5) and C' (-1, -1) b.) A' ( 4, 1) , B' ( 3, 5) and C' (1, 1) 8. ANS:9. ANS: 2.2 10. ANS: OL 11. ANS: Hypothesis: Tomorrow is Monday. Conclusion: Yesterday was Saturday. 12. ANS: The truck is too heavy for the bridge. 13. ANS: Symmetric Property 14. ANS: 15. ANS: 139 16. ANS: 17. ANS: 8 sides 18. ANS: x = 103, y = 70 = 48, = 42OCPS End of Course Review for Geometry Honors 2009-2010Page 11 of 1319. ANS: 10 20. ANS: SAS : AC  BD SSS :AB  ADASA : AC  BD and  ABC   ADC AAS:  ABC   ADC and  BAC   DAC 21. ANS: 22. ANS: 23. ANS: 143 24. ANS: x = 5, y = 80, z = 2 or BC  EC25. ANS: 40 26. ANS: 5.3 cm 27. ANS: 24 28. ANS: 2 29. ANS: 12.5 30. ANS: 2 31. ANS: If an animal is not a cat, then it is not a Persian. 32. ANS: 9.5 33. ANS: 15.6 34. ANS: 2159 m 35. ANS: 180.5 cm2 36. ANS: 324.45 in.2 37. ANS: 252 ft2 38. ANS: acute 39. ANS: 93.5 ydOCPS End of Course Review for Geometry Honors 2009-2010Page 12 of 1340. ANS: x = 39, y = 41. ANS:494 42. ANS: 29.4 in.243. ANS: 288 in. 44. ANS: 438 cm 45. ANS: 2,144 cm (using 3.14 for ) 46. ANS: 9 47. ANS: 27 48. ANS: (x ­ 3) + (y + 5) = 4 49. ANS: A' (-4, 1) , B' (-2 , 3) and C' (-4, 4) 50. ANS: 16.67 feetOCPS End of Course Review for Geometry Honors 2009-2010Page 13 of 13`

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