Name Class Date

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63

Final Test Form G

Chapters 1–12

1. What is the measure of each exterior

angle of a regular decagon?

2. Find the midpoint of AB with A(21, 5)

and B(6, 23).

3. Which lines or segments are parallel?

Justify your answer.

4. What postulate or theorem can you use

to prove the pair of triangles congruent?

Name the congruence.

5. What is the image of (22, 25) refl ected

across x 5 2?

6. Find the area of the trapezoid.

7. Find the area of a rhombus with sides

of length 10 in. and longer diagonal of

length 16 in.

8. Find the perimeter of the rectangle

TYOC with vertices TA26,6B,YA2,10B,OA4,6B, and CA24,2B .

9. Find the area of the rectangle in

Exercise #8.

10. Which of the following transformations

are isometries?

I. rotation II. glide refl ection III. dilation

A I only

B I, II, and III

C I and III only

D I and II only

11. Find the length of AB0

. Round your answer to the nearest tenth.

12. Find the value of x.

Round your answer

to the nearest tenth.

13. Find the area of a regular decagon with

radius 4 cm. Round your answer to the

nearest tenth.

14. Find the volume of a square pyramid

with height 15 m and slant height 17 m.

15. Sketch and describe the locus of all points

in a plane 3 units from the line y 5 22.

16. Find the area of an

equilateral triangle

with sides of

length 24 in.

17. Find the value of x.

Round your answer to

the nearest tenth.

A B

C D

70�

110�

B D

A EC

8 cm

20 cm

12 cm

100�

8 in.A

B

10

9 8

x

24 in.

9

5

x

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64

Final Test (continued) Form G

Chapters 1–12

18. Which is the equation of the circle with

center (23, 22) passing through (1, 25)?

F (x 1 3)2 1 (y 1 2)2 5 25

G (x 2 3)2 1 (y 2 2)2 5 5 H (x 2 1)2 1 (y 1 5)2 5 5 J (x 1 3)2 1 (y 1 2)2 5 5

19. Find the value of x. Round your

answer to the

nearest tenth.

20. Find the value of x.

21. Two fi gures have a similarity ratio of 3 : 7.

If the area of the larger fi gure is 294 cm2,

what is the area of the smaller fi gure?

22. An observer at the top of a 50-m

lighthouse sights a boat out at sea at an

angle of depression of 15°. A short while

later, the same boat is at an angle of

depression of 22° along the same line of

sight. To the nearest meter, how far did

the boat travel?

23. Th e lengths of the sides of a triangle

are 7.6 cm, 8.2 cm and 5.2 cm. Find

the measure of the largest angle to the

nearest tenth.

24. Find the value of x.

25. What is the image of (2, 22) rotated 270°

about the origin?

26. Reorder the reasons of the following

proof to match the correct statements.

Given: AB � DC �A � �D

Prove: AE � DE

Statements Reasons1. AB � DC a. Given

2. �A � �D b. AAS Th eorem

3. �AEB � �DEC c. Given

4. �AEB � �DEC d. CPCTC

5. AE � DE e. Vertical Angles

Th eorem

25�

14

x

14

7

15x

(2x � 10)�(7x � 3)�

(4x � 7)�

(2x � 1)�

AE

D

B C

PHS4676_NAGE_Test_G.indd 64 8/11/11 2:08:56 PM

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Prentice Hall Geometry • Progress Monitoring AssessmentsCopyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

65

Final Test (continued) Form G

Chapters 1–12

Complete each statement with the word

always, sometimes, or never.

27. Th e vertices of a triangle are 9 collinear.

28. If two lines are cut by a transversal, then

alternate interior angles are 9 congruent.

29. Th e diagonals of a rectangle are 9

perpendicular.

30. What postulate or theorem can you use

to prove the pair of triangles congruent?

Name the congruence.

31. /CBA > /CED. Is AB a midsegment? Explain.

32. Suppose the two rectangles are similar

and x . 6. Find x.

33. Find the value of x.

34. Find the area of the triangle. Round your

answer to the nearest tenth.

35. Find the measure of BC0

.

36. Find the volume of the cylinder in terms

of p.

37. Find the area of the shaded region to the

nearest tenth.

38. Find the value of x.

A

D C

B

A

D E

B

C

2x � 5

4x � 10

x2

6 6

32�

100�

x�

16 in. 12 in.74�

68�

62�

A

C

B

9 ft

12 ft

18 cm

120�

9

3x

13

PHS4676_NAGE_Test_G.indd 65PHS4676_NAGE_Test_G.indd 65 5/23/11 5:11:03 PM5/23/11 5:11:03 PM

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Prentice Hall Geometry • Progress Monitoring AssessmentsCopyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

66

Final Test (continued) Form G

Chapters 1–12

39. Identify the repeating fi gure that is

translated to form the fi gure below.

40. a. Find the surface area to the

nearest tenth.

b. Find the volume to the nearest tenth.

41. EFGH � PQRH. Complete the proportion

and the congruence statement.

a. EFGH

5 ?

RH

b. �Q � 9

42. Find the value of x. Round your answer

to the nearest tenth.

43. Find the lengths of MW and MX . Round your answers to the nearest tenth.

44. Find m�ABC.

45. What is the equation of the line

perpendicular to y 5 3x 2 7 that

contains (6, 8)?

12 cm

E F

H

P Q

GR

60�

30� 15x

38�

34

XM

W

T

A

B C

64�

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