Name: ________________________ Class: ___________________ Date: __________
Circles Test Review 1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Find x. Assume that segments that appear tangent are tangent.
a.
b.
____
5
7
c.
d.
13
11
c.
3 ft
2. NA ≅ PA , MO ⊥ NA, RO ⊥ PA , MO = 3 ft
What is PO?
a.
9 ft
b.
6 ft
1
d.
1.5 ft
ID: A
Name: ________________________
____
ID: A
3. In ñF , ∠CFD ≅ ∠DFE , m∠BFA = 8x, m∠AFE = 5x + 11, and BE and AC are diameters.
Find m arc DC .
a. 56
b. 52
____
c.
d.
47
51
4. If mBY = 28, what is m∠YAC? (The figure is not drawn to scale.)
a.
152
b.
76
c.
2
56
d.
124
Name: ________________________
ID: A
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to
scale.
____
____
____
5. AB = 20, BC = 10, and CD = 6
a.
50
b.
33.33
c.
22.67
d.
44
a.
144
b.
14.2
c.
18
d.
4.5
6.
7. Find the diameter of the circle for BC = 13 and DC = 28. Round to the nearest tenth.
(The diagram is not drawn to scale.)
a.
10.8
b.
73.3
c.
3
60.3
d.
47.3
Name: ________________________
____
8. Find the measure of value of AB for m∠P = 22. (The figure is not drawn to scale.)
a.
____
ID: A
158
b.
44
c.
11
d.
316
9. The circles are congruent.Given HJ ≅ LM , what can you conclude from the diagram?
a.
b.
HJ ≅ LM
∠JOH ≅ ∠MPL
c.
d.
∠JOH ≅ ∠MPL and HJ ≅ LM
none of these
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to
scale.
____ 10.
a.
213.3
b.
21.2
c.
4
24.7
d.
14.6
Name: ________________________
ID: A
____ 11.
a.
34.5
b.
42
c.
69
d.
21
51
d.
156
____ 12. Find m∠BAC. (The figure is not drawn to scale.)
a.
39
b.
102
c.
____ 13. Find x. Assume that segments that appear tangent are tangent.
a.
b.
14
10
c.
d.
5
16
28
Name: ________________________
ID: A
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.)
____ 14. m∠P = 29
a.
119
b.
61
c.
30.5
d.
58
b.
248
c.
56
d.
62
c.
d.
80
75
____ 15. m∠O = 124
a.
304
Find the measure of the numbered angle.
____ 16.
a.
b.
85
70
6
Name: ________________________
ID: A
____ 17. Find the value of x for mAB = 36 and mCD = 34. (The figure is not drawn to scale.)
a.
35
b.
70
c.
53
d.
2
d.
117
____ 18. Find m∠D for m∠B = 63. (The figure is not drawn to scale.)
a.
54
b.
58.5
c.
7
108
Name: ________________________
ID: A
Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.
____ 19.
a.
b.
10
7
c.
d.
8.7
5
____ 20. In ñD, AB ≅ CB and m arc CE = 54. Find m∠BCE .
a.
b.
108
109
c.
d.
8
81
113
Name: ________________________
ID: A
____ 21. The radius of circle O is 22, and OC = 6. Find AB. Round to the nearest tenth, if necessary. (The figure is not
drawn to scale.)
a.
26.9
b.
42.3
c.
21.2
c.
d.
35
55
____ 22.
If m∠1 = 3x + 2, m∠2 = 5x, find m∠1.
a. 58
b. 37
9
d.
45.6
Name: ________________________
ID: A
Find x. Assume that any segment that appears to be tangent is tangent.
____ 23.
a.
b.
15
10
c.
d.
5
12
a.
b.
11
9
c.
d.
22
18
____ 24.
10
Name: ________________________
ID: A
____ 25. Find x. Assume that segments that appear tangent are tangent.
a.
b.
11
36
c.
d.
31
71
____ 26. Find the measure of ∠BAC. (The figure is not drawn to scale.)
a.
68
b.
34
c.
11
136
d.
22
Name: ________________________
ID: A
____ 27. Given that ∠DAB and ∠DCB are right angles and m∠BDC = 59º, what is m CAD? (The figure is not drawn
to scale.)
a.
236
b.
298
c.
354
c.
d.
29
41
____ 28. In ñA, AC ≅ AF and AE = 29.
Find mEG .
a. 40
b. 42
12
d.
357
Name: ________________________
ID: A
____ 29. m∠R = 31. Find m∠O. (The figure is not drawn to scale.)
a.
59
b.
31
c.
149
d.
62
____ 30. mDE = 117 and mBC = 70. Find m∠A. (The figure is not drawn to scale.)
a.
47
b.
93.5
c.
13
82
d.
23.5
ID: A
Circles Test Review 1
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
B
D
B
B
D
C
D
A
C
D
C
C
C
B
C
B
A
A
A
A
B
C
A
C
A
B
B
A
D
D
1