Name:___________________________________
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Geometry Test Review Chapter 12
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Find the measures of the indicated angles. Which statement is NOT true? (The figure is not drawn to scale.)
d

O
a
c
b
a. a = 53
____
b. b = 106
c. c = 73
d. d = 37
2. Find the diameter of the circle for BC = 13 and DC = 24. Round to the nearest tenth.
(The diagram is not drawn to scale.)
D
C
O
B
A
a. 31.3
Short Answer
b. 44.3
c. 11.2
d. 57.3
Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of
x. (Figures are not drawn to scale.)
3.
111
x°
O
4.
12
Q
P
x°
O
In the figure,
scale.
and
are tangent to circle O and
B
bisects
D
O
C
A
P
5. For
6.
= 50, find
is tangent to
. If
The diagram is not to scale.
B
C
A
O
.
and
, what is
?
. The figure is not drawn to
7. A satellite is 13,200 miles from the horizon of Earth. Earth’s radius is about 4,000 miles. Find the
approximate distance the satellite is from the Earth’s surface.
The diagram is not to scale.
B
C
A
O
8.
is tangent to circle O at B. Find the length of the radius r for AB = 5 and AO = 8.6. Round to the nearest
tenth if necessary. The diagram is not to scale.
B
A
r
O
9.
,
What is PO?
,
, MO = 3 ft
R
P
A
O
N
M
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to
scale.
10.
23
7
x
11.
D
C

P
x°
A
B
Use the diagram.
is a diameter, and
C
A
P
B
D
12. Find m
for m
= 59.
. The figure is not drawn to scale.
13.
and
are diameters. Find the measure of
Y
. (The figure is not drawn to scale.)
Z
82º
X
46º
R
C
W
14. The radius of circle O is 18, and OC = 13. Find AB. Round to the nearest tenth, if necessary. (The figure is not
drawn to scale.)
C
A
B
O
15. Find x. (The figure is not drawn to scale.)
A
x
O
C
B
46
16. m R = 22. Find m O. (The figure is not drawn to scale.)
N
O
Q
R
17. If
, what is
?
C
P
A
B
D
18. In the circle,
, and m D = 99. Find m DCQ.
(The figure is not drawn to scale.)
A
D
B
Q
C
P
19.
, and
is tangent to the circle at R. Find m U.
(The figure is not drawn to scale.)
R
S
U
T
20.
and
. Find m A. (The figure is not drawn to scale.)
D
B
A
C
E
21. Find the value of x for
D
C
and
O
x
A
B
. (The figure is not drawn to scale.)
22. Find the measure of value of
for
. (The figure is not drawn to scale.)
A
P
L
B
23. A footbridge is in the shape of an arc of a circle. The bridge is 4.5 ft tall and 25 ft wide. What is the radius of
the circle that contains the bridge? Round to the nearest tenth.
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to
scale.
24.
10
8
x
15
25. The figure consists of a chord, a secant, and a tangent to the circle. Round to the nearest hundredth, if
necessary.
4
9
7
x
15
Geometry Test Chapter 12
Answer Section
MULTIPLE CHOICE
1. C
2. A
SHORT ANSWER
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
69
78
40
70
9,793 miles
7
1.5 ft
13.5
77
121
226
24.9
23
44
31
23
32.5
35.5
130
19.6 ft
12
15.75