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

2009-2010 OCPS End of Course Review for Geometry Honors

You 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:

I

and

(Through out Sections 4-2 to 4-4)

K

J

H

L

4. 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 2009-2010

Page 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.

and

are 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)

6

16. 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 2009-2010

Page 2 of 13

18. Find the missing angle measures. The diagram is not to scale.

111° 110° x° y° 76°

(Section 11-1)

19. Given

and

, 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 & 4-4)

A

B

C

D

21. Find the values of x and y.

A

(Section 4-1)

|

|

x° B

( (

70° D C Drawing not to scale

OCPS End of Course Review for Geometry Honors 2009-2010

Page 3 of 13

22. What additional information will allow you to prove ABC DEC congruent by the HL Theorem? (Section 4-6)

A

|

B

C

D

|

E

23. For the parallelogram, if

3 4

and

find

The diagram is not to scale. (Section 6-2)

2

1

24. 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.

and

R

|

Find

|

The diagram is not to scale.

(Section 6-5)

U

||

T

26. 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

||

|

S

Page 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

>

x+2 x + 12

>

x+5

29. B is the midpoint of

D is the midpoint of

C

and AE = 25. Find BD. The diagram is not to scale. (Section 5-4)

B

D

A

E

30.

bisects

Find the value of x. The diagram is not to scale.

E

(Section 5-1)

|

)

24° G

D

OCPS End of Course Review for Geometry Honors 2009-2010

)

|

6x + 18 F

15x

Page 5 of 13

31. Write the contrapositive of the conditional statement illustrated by this Venn diagram.

(Section 2-3)

Cats

Persians

32. Find the value of x. Round your answer to the nearest tenth.

(Section 9-5)

8

x Not drawn to scale

33. 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 scale

OCPS End of Course Review for Geometry Honors 2009-2010

Page 6 of 13

35.

Find the area. The figure is not drawn to scale.

9 cm 8 cm 15 cm

(Section 1-7)

9 cm

13 cm

36. 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 scale

38. 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 2009-2010

Page 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° 26

y

Not 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° 5

43. Find the surface area of the cylinder in terms of .

6 in.

(Section 12 ­ 2)

18 in.

Not drawn to scale

44. Find the volume of the composite space figure to the nearest whole number.

(Sections 12-2 to 12- 4)

6 mm

11 mm 5 mm Not drawn to scale

OCPS End of Course Review for Geometry Honors 2009-2010

Page 8 of 13

45. Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.

(Section 12 - 6)

16 cm

46. 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 x2

47. 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 2009-2010

Page 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 volume

OCPS End of Course Review for Geometry Honors 2009-2010

Page 10 of 13

OCPS Geometry Honors End of Course Review (2009-2010) Answer Section

1. ANS: y + 8 = 5(x + 9) 2. ANS: y 3. ANS:

9 111 x 7 7

Reason 1.) Given 2.) Vertical Angles Theorem 3.) Angle- Side ­ Angle 4.) CPCTC

Statements 1.) H K ; HJ KJ 2.) IJH LJK 3.) IJH LJK 4.) IJ LJ

4. 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 < 25 is a triangle is not a triangle since 10 + 5 < 20 is not a triangle since 15 + 9 = 24

7. 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, = 42

OCPS End of Course Review for Geometry Honors 2009-2010

Page 11 of 13

19. ANS: 10 20. ANS: SAS : AC BD SSS :

AB AD

ASA : 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 EC

25. 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 yd

OCPS End of Course Review for Geometry Honors 2009-2010

Page 12 of 13

40. ANS: x = 39, y = 41. ANS:

49

4 42. ANS: 29.4 in.2

43. 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 feet

OCPS End of Course Review for Geometry Honors 2009-2010

Page 13 of 13

Information

Microsoft Word - Geometry Honors Final Review with answers 2009-10.rtf

13 pages

Report File (DMCA)

Our content is added by our users. We aim to remove reported files within 1 working day. Please use this link to notify us:

Report this file as copyright or inappropriate

625066


You might also be interested in

BETA
Microsoft Word - Geometry Honors Final Review with answers 2009-10.rtf