Geometry Test Review Chapter 12
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Name:______Date:______
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
B O
A
a. 31.3 b. 44.3 c. 11.2 d. 57.3 Short Answer
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, and are tangent to circle O and bisects . The figure is not drawn to scale.
B D O
C A
P
5. For = 50, find .
6. is tangent to . If and , what is ? The diagram is not to scale. B
C
A
O
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.
A B
r
O 9. , , , MO = 3 ft What is PO? 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.
23
7
x
10. D
C
P
x°
A B 11.
Use the diagram. is a diameter, and . The figure is not drawn to scale. C
P A B
D
12. Find m for m = 59.
13. and are diameters. Find the measure of . (The figure is not drawn to scale.) Y Z
82º X R 46º 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 and . (The figure is not drawn to scale.) D C
O
x
A
B
22. Find the measure of value of for . (The figure is not drawn to scale.)
A
L P
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.
10
8
x 15
24.
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. 69 4. 78 5. 40 6. 70 7. 9,793 miles 8. 7 9. 1.5 ft 10. 13.5 11. 77 12. 121 13. 226 14. 24.9 15. 23 16. 44
17. 18. 31 19. 23 20. 32.5 21. 35.5 22. 130 23. 19.6 ft 24. 12 25. 15.75