Name
Class
Date
Final Test
Form B
Chapters 1–12
1. Find the measure of an exterior angle of a
regular octagon.
2. Find the midpoint of AB with A(-3, 12) and
B(21, -8).
3. The lengths of two sides of a triangle are 5 and
11. Which can be the length of the third side?
A. 4
B. 16
C. 9
D. 18
9. Which of the following transformations are not
isometries?
I. rotation II. dilation III. translation
A. I only
B. II only
C. I and III only
D. II and III only
10. Draw a net for the regular pyramid, label its
appropriate dimensions, and then find the
surface area.
5 cm
4. Which pair of lines is perpendicular?
A. y = 3x + 1 and y = 3x - 7
B. y = -6x + 1 and y = 6x + 2
C. y = 13 x + 1 and y = 3x - 1
D. y = 32 x - 4 and y = -23 x
6 cm
0
11. Find the length of AB . Round your answer to
the nearest tenth.
A
5. What is the image of (-3, 4) under the
translation 具2, -5典?
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6. Find the area of a regular hexagon with
apothem length 6 "3 cm.
7. Find the area of a rhombus with sides of length
10 in. and longer diagonal of length 16 in.
6 ft 130
O
B
12. Create an isometric drawing from the
foundation map.
4
2
1
3
Right
2
8. What types of symmetry does the figure have?
Front
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.
Geometry Assessment Resources
141
Name
Class
Final Test
Date
Form B
(continued)
Chapters 1–12
15. Describe the locus of all points in a plane 5 cm
from a given horizontal segment.
16. Find the area of an equilateral triangle with
sides of length 24 in.
24 in.
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. Find the perimeter of the triangle that
circumscribes the circle.
6m
17. Find the value of x. Round your answer to the
nearest tenth.
4m
12 m
10
x
9
8
24. Find the magnitude and direction of the vector.
N
19. Find the value of x. Round your answer to the
nearest tenth.
E
S
25. Find the value of x.
(4x 7)
(7x 3)
(2x 1)
26. What is the image of (-6, 1) rotated 90° about
the origin?
x
20. Find the value of x.
5
x
21. Two figures have a similarity ratio of 4 : 5. If
the area of the smaller figure is 112 cm2, what
is the area of the larger figure?
142
W
(2x 10)
9
2
40 mi/h
Geometry Assessment Resources
27. If AB = 7, BC = 18, and AC = 13, list
the angles of 䉭ABC in order from smallest
to largest.
28. Find the distance between (4, -7) and (8, 3) to
the nearest tenth.
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18. Which is the equation of the circle with center
(-5, -1) passing through (3, 5)?
A. (x - 5)2 + (y - 1)2 = 10
B. (x - 5)2 + (y - 1)2 = 100
C. (x + 5)2 + (y + 1)2 = 100
D. (x + 5)2 + (y + 1)2 = 10
35 mi/h
Name
Class
Final Test
Date
Form B
(continued)
Chapters 1–12
Complete each statement with the word always,
sometimes, or never.
0
37. Find the measure of XY .
X
29. Two intersecting lines are 9 coplanar.
76
64
Z
30. If each angle of a quadrilateral is a right angle,
then the quadrilateral is 9 a rhombus.
31. If an angle is acute, then its supplement is 9
acute.
Y
38. For the similar rectangles, find the ratio of the
area of the first to the area of the second.
32. The diagonals of a trapezoid are 9 congruent.
33. A rhombus is 9 a square.
18
39. Given that the radius of the circle is 8 cm, find
the area of the shaded region to the nearest
tenth.
34. ABCD ⬃ PQRS. Find x.
C
B 2
Q 8
A
x
90
R
D
P
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10
S
22
40. Find the value of x.
35. Find the value of x.
3兹13
x
85
20
x
9
36. Find the area of the triangle. Round your
answer to the nearest tenth.
11
cm 34
8 cm
Geometry Assessment Resources
143
Name
Class
Final Test
Date
Form B
(continued)
Chapters 1–12
41. Identify the repeating figure that makes up
the tessellation.
46. Find the value of x. Round your answer to the
nearest tenth.
20
x
60
47. Which postulate or theorem would be used to
prove the pair of triangles congruent?
42. What is the probability that a dart tossed
randomly at this board hits the shaded area?
48. Give the most precise name for ABCD for
the ordered pairs A(-3, 3), B(2, 7), C(6, 2),
and D(1, -2).
49. Find the value of x.
100
149
141
143
12 m
5m
44. Statement: If two angles are vertical, then they
are congruent.
a. Write the converse of the statement.
b. Write the inverse of the statement.
45. ABCD ⬃ AGFE. Complete the proportion
and the congruence statement.
a. AD
= CD
FE
?
b. ⬔G ⬵ 9
F
G
C
B
A
144
D
E
Geometry Assessment Resources
107
x
135
50. What is the equation of the line perpendicular
to y = 2x - 5 which contains (-6, 1)?
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43. a. Find the surface area of the figure below.
Round your answer to the nearest tenth.
b. Find the volume of the figure below. Round
your answer to the nearest tenth.