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