Name: ______________________
Class: _________________
Date: _________
ID: R
Geometry Unit 7 Circles Test REVIEW (Note: All figures are NOT drawn to scale.)
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1. WZ and XR are diameters. Find the measure of
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3. In the figure, PA and PB are tangent to
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circle O and PD bisects ∠BPA.
ZWX.
For m∠AOC = 65, find m∠BPO.
2. Find the length of YPX. Leave your answer in
terms of π.
4. A satellite is 18,000 miles from the horizon of
Earth. Earth’s radius is about 4,000 miles. Find
the approximate distance the satellite is from the
point directly below it on Earth’s surface.
5. BC is tangent to circle A at B and to circle D at C.
AB = 8, BC = 29, and DC = 6.
Find AD to the nearest tenth.
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Name: ______________________
ID: R
9. Find m∠BAC in circle O.
6. JK, KL, and LJ are all tangent to circle O, and
JK ≅ LJ. JA = 7, AL = 9, and CK = 8.
Find the perimeter of ΔJKL.
10. Given that ∠DAB and ∠DCB are right angles and
7. In circle A, NA ≅ PA, MO ⊥ NA, RO ⊥ PA, MO
= 7 ft. What is PO?
m∠BDC = 48°, what is m CAD?
11. If m∠ACD = 46, what is m∠ABD?
8. Find the value of x. If necessary, round
your answer to the nearest tenth.
O is the center of the circle.
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Name: ______________________
ID: R
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15. The farthest distance a satellite signal can
directly reach is the length of the segment
tangent to the curve of Earth’s surface. If the
measure of the angle formed by the tangent
satellite signals is 137, what is the measure of the
intercepted arc on Earth?
12. PQ is tangent to the circle at C. In the circle,
mAD = 86, and m∠D = 93. Find m∠DCQ.
Find the value of x. If necessary, round your
answer to the nearest tenth.
13. mDE = 111 and mBC = 63. Find m∠A.
16. The figure consists of a tangent and a secant to
the circle.
14. Find the value of x for mAB = 21 and mCD = 30.
17.
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Name: ______________________
ID: R
18. AB = 14, BC = 6, and CD = 7
19. Prove Circle F is similar to Circle F’.
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ID: R
Geometry Unit 7 Circles Test REVIEW (Note: All figures are NOT drawn to scale.)
Answer Section
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2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
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13.
14.
15.
16.
17.
18.
19.
234
9π m
25
14,439 miles
29.1
48
3.5 ft
7.1
50
276
46
44
24
25.5
43
14.4
24
10.14
For full credit, student must include a translation rule and a scale factor for the dilation. The translation rule
that maps F onto F’ is T 11, −9 , 11 units to the right and 9 units down. Then Circle F is dilated by a scale factor
of 1/2, a reduction in size.
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