Chapter 10 Test Review with Key

Geometry B
Chapter 10 Test Review Name__________________
1. Identify all tangents for circle O.
C
•
G
•
D
•
A
E
•
•
O
F
H
•
2. Draw a common internal tangent to R and S below.
B
3. AB is tangent to O at A (not drawn to scale). Find the length of the radius r, to the nearest
tenth.
r
A
O
11
3
B

Geometry B
Chapter 10 Test Review Name__________________
4. Find m PQ ) in A. Drawing is not to scale.
P
S
b g
2y − 5
°
A
by + 25g
°
R
Q
5. Given circle O with radius 20 and OC = 12. Find the measure of AB .
C
A B
O
6. Find m ∠ PSQ if m ∠ PSQ = 2y − 10 and m ∠ PRQ = y + 25 .
P
S
Q
R
[A] 35° [B] 30° [C] 60° [D] 40°

Geometry B
Chapter 10 Test Review Name__________________
7. Given: m ∠ X = 100°; WZ ≅ YZ ; m ∠ Y = 100°
W
Z
X
Y
Refer to the diagram to find the measure of each of the following:
A. ∠ Z
B. WZ )
C. ∠ W
D. WX )
8. Find the measure of ∠ 1.
9. In the figure shown (not drawn to scale), mBCD = 106° , mDEF = 96° , mFGH = 138° ,
and mHAB = 20° . Find m ∠FPD .
P •
B
•
•A
•
H
C
•
•
G
D
•
•
E
•
F

Geometry B
Chapter 10 Test Review Name__________________
10. Find the value of x.
10
x
9
25
11. Find the length of the missing segment to the nearest tenth.
•
12
14
•
•
?
36
•
•
12. Find the equation of the circle of radius 8 with its center at the origin.
13. Find the equation of the circle with center (5, –2) and radius of 2.

Geometry B
Chapter 10 Test Review Name__________________
2 2
14. Sketch the graph of the equation ( x – 2) + ( y + 1) = 13 . Label the coordinates of the center
and the y-intercepts.
y
4
–2 7x
–6
15. Sketch and describe the locus of all points in a plane that are 2 centimeters from a circle
with a radius of 7 centimeters.

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]

Geometry B
Chapter 10 Test Review Name__________________
Reference: [10.1.1.1]
[1] CE
Reference: [10.1.1.5]
Two possible answers.
[2]
Reference: [10.1.2.19]
[3] 18.7
Reference: [10.2.1.30]
[4] 55°
Reference: [10.2.2.38]
[5] 32
Reference: [10.3.1.50]
[6] [C]
Reference: [10.3.2.56]
[7] A. m ∠ Z = 80° B. mWZ ) = 100° C. m ∠ W = 80° D. mWX ) = 100°
Reference: [10.4.1.62]
[8] 70°
Reference: [10.4.2.66]
[9] 38°

Geometry B
Chapter 10 Test Review Name__________________
Reference: [10.5.1.78]
[10]
27 7
9
Reference: [10.5.2.80]
[11] 46.3
Reference: [10.6.1.81]
2 2
[12] x + y = 64
Reference: [10.6.1.82]
b g b g
2 2
[13] x − 5 + y + 2 = 4
Reference: [10.6.2.90]
[14]
y
4
( 0, 2)
–2 7x
( 0, - 4)
–6
( 2, -1)

Geometry B
Chapter 10 Test Review Name__________________
Reference: [10.7.1.95]
Two circles; one with radius 5 cm, another with radius 9 cm.
[15]
5 2
2