Name: ________________________ Class: ___________________ Date: __________ ID: A

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Circles Test Review 1

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

____ 1. Find x. Assume that segments that appear tangent are tangent.

a. 5 c. 13b. 7 d. 11

____ 2. NA ≅ PA, MO ⊥ NA, RO ⊥ PA, MO = 3 ftWhat is PO?

a. 9 ft b. 6 ft c. 3 ft d. 1.5 ft

Name: ________________________ ID: A

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____ 3. In ñF, ∠CFD ≅ ∠DFE, m∠BFA = 8x, m∠AFE = 5x + 11, and BE and AC are diameters.

Find m arc DC .a. 56 c. 47b. 52 d. 51

____ 4. If mBY = 28, what is m∠YAC? (The figure is not drawn to scale.)

a. 152 b. 76 c. 56 d. 124

Name: ________________________ ID: A

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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

____ 6.

a. 144 b. 14.2 c. 18 d. 4.5

____ 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. 60.3 d. 47.3

Name: ________________________ ID: A

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____ 8. Find the measure of value of AB for m∠P = 22. (The figure is not drawn to scale.)

a. 158 b. 44 c. 11 d. 316

____ 9. The circles are congruent.Given HJ ≅ LM , what can you conclude from the diagram?

a. HJ ≅ LM c. ∠JOH ≅ ∠MPL and HJ ≅ LMb. ∠JOH ≅ ∠MPL d. 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. 24.7 d. 14.6

Name: ________________________ ID: A

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____ 11.

a. 34.5 b. 42 c. 69 d. 21

____ 12. Find m∠BAC. (The figure is not drawn to scale.)

a. 39 b. 102 c. 51 d. 156

____ 13. Find x. Assume that segments that appear tangent are tangent.

a. 14 c. 16b. 10 d. 28

Name: ________________________ ID: A

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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

____ 15. m∠O = 124

a. 304 b. 248 c. 56 d. 62

Find the measure of the numbered angle.

____ 16.

a. 85 c. 80b. 70 d. 75

Name: ________________________ ID: A

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____ 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

____ 18. Find m∠D for m∠B = 63. (The figure is not drawn to scale.)

a. 54 b. 58.5 c. 108 d. 117

Name: ________________________ ID: A

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Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.

____ 19.

a. 10 c. 8.7b. 7 d. 5

____ 20. In ñD, AB ≅ CB and m arc CE = 54. Find m∠BCE.

a. 108 c. 81b. 109 d. 113

Name: ________________________ ID: A

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____ 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 d. 45.6

____ 22.

If m∠1 = 3x + 2, m∠2 = 5x, find m∠1.a. 58 c. 35b. 37 d. 55

Name: ________________________ ID: A

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Find x. Assume that any segment that appears to be tangent is tangent.

____ 23.

a. 15 c. 5b. 10 d. 12

____ 24.

a. 11 c. 22b. 9 d. 18

Name: ________________________ ID: A

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____ 25. Find x. Assume that segments that appear tangent are tangent.

a. 11 c. 31b. 36 d. 71

____ 26. Find the measure of ∠BAC. (The figure is not drawn to scale.)

a. 68 b. 34 c. 136 d. 22

Name: ________________________ ID: A

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____ 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 d. 357

____ 28. In ñA, AC ≅ AF and AE = 29.

Find mEG.a. 40 c. 29b. 42 d. 41

Name: ________________________ ID: A

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____ 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. 82 d. 23.5

ID: A

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Circles Test Review 1Answer Section

MULTIPLE CHOICE

1. B 2. D 3. B 4. B 5. D 6. C 7. D 8. A 9. C 10. D 11. C 12. C 13. C 14. B 15. C 16. B 17. A 18. A 19. A 20. A 21. B 22. C 23. A 24. C 25. A 26. B 27. B 28. A 29. D 30. D