Geometry Honors Chapter 12 Test Review Problems
1. Draw a common internal tangent to
R and
S below.
2. A circle is the set of all points in a plane that _____.
[A] have a center[B] are equidistant from a given point[C] have a diameter[D] lie within a given
radius
3. AB is tangent to
tenth.
A
r
O at A (not drawn to scale). Find the length of the radius r, to the nearest
9
B
4
O
4. Given: RP = 22, RA = 6, PQ is tangent to
R at QFind PQ.
Geometry Honors Chapter 12 Test Review Problems
5. Give the center and radius of circle A and circle B. Describe the intersection of the two circles
and describe all common tangents.
y
10
A
B
10 x
–10
–10
6. D and B are points of tangency. Solve for x and find AD.
7. Given: In
O, m BAC = 308  . Find m  A.
C
O
B
A
[A] 20  [B] 10  [C] 13  [D] 26 
Geometry Honors Chapter 12 Test Review Problems
8. If QT and RW are diameters in
9. Identify all radii for circle O.
F H

G A

O

C

B
D

E
10. Find the value of x.
8
3
x
[A] 8.5 [B] 5.0
[C] 3.7 [D] 7.4

P, find m QW .
Geometry Honors Chapter 12 Test Review Problems
11. Find RS in
C. Explain your reasoning.
13. Find the measures of the indicated angles. (The figure is not drawn to scale.)
14. What must be the measures of  B and  C so that a circle can be circumscribed about
ABCD?
Geometry Honors Chapter 12 Test Review Problems

15. Find m BC and m  D.

16. Given: Q and m  B = 62 
Find m AC .
[A] 236  [B] 248  [C] 124  [D] 62 
17. Find the measure of  1.
18. Find the measure of  1.
Geometry Honors Chapter 12 Test Review Problems
19. In the figure shown (not drawn to scale), mBCD = 117 , mDEF = 92 , mFGH = 133 ,
and mHAB = 18 . Find m FPD .
D

C

B
P
E

A

H

G

F


20. Given: m AB = 82°, m CD = 30°
Find m  DOC.
[A] 52°[B] 112°[C] 56°[D] 26°
21. Find the diameter of the circle. BC  16, and DC  24. Round your answer to the nearest
tenth.
A
O
B
D
[A] 20.0[B] 22.7[C] 52.0[D] 13.3
C
Geometry Honors Chapter 12 Test Review Problems
22. A hummingbird is flying toward a large tree with a radius of 6 feet. When it is 35 feet from
the center of the tree, its lines of sight form two tangents. What is the measure of the arc on the
tree that the hummingbird can see?
6 ft
35 ft
H
[A] 81.13°[B] 161.26°[C] 80.13°[D] 160.26°


24. Given: m SQ = 106°, m PR = 120°
Find m  x.
[A] 67° [B] 113°[C] 134° [D] 226°
26. Find the equation of the circle with center (5, –4) and radius of 4.
Geometry Honors Chapter 12 Test Review Problems
27. A small messenger company can deliver only in a small part of the city. Write an equation
for the boundary where the company delivers, and find its radius.
[A] ( x) 2  ( y  3) 2  49 ; r = 49 blocks[B] ( x) 2  ( y  3) 2  49 ; r = 7 blocks
[C] ( x  3) 2  ( y) 2  98 ; r = 49 blocks[D] ( x  3) 2  ( y) 2  98 ; r = 7 blocks
28. A satellite is 12,200 miles from the horizon of Earth. Earth’s radius is about 4,500 miles. Find the
approximate distance the satellite is from the Earth’s surface.
The diagram is not to scale.
B
C
A
O
29. Find the value of x.
6
7
14
x