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

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Geometry SIA #4, Review #1

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

____ 1. Based on the pattern, what are the next two terms of the sequence?9, 15, 21, 27, . . .a. 33, 972 b. 39, 45 c. 162, 972 d. 33, 39

____ 2. Based on the pattern, what are the next two terms of the sequence?

5,53

,59

,527

,581

, . . .

a.584

,5

246c.

5243

,5

246

b.5

243,

5729

d.584

,587

____ 3. What conjecture can you make about the fifteenth figure in this pattern?

a. The fifteenth figure in the pattern is .

b. The fifteenth figure in the pattern is .

c. The fifteenth figure in the pattern is .d. There is not enough information.

Name: ________________________ ID: A

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____ 4. What conjecture can you make about the fourteenth term in the pattern A, B, A, C, A, B, A, C?a. The fourteenth term is B. c. The fourteenth term is A.b. The fourteenth term is C. d. There is not enough information.

____ 5. What conjecture can you make about the sum of the first 10 odd numbers?a. The sum is 10 10 100. c. The sum is 9 10 90.b. The sum is 10 11 110. d. The sum is 11 11 121.

____ 6. What conjecture can you make about the sum of the first 10 positive even numbers?2 = 2 = 1 22 + 4 = 6 = 2 32 + 4 + 6 = 12 = 3 42 + 4 + 6 + 8 = 20 = 4 52 + 4 + 6 + 8 + 10 = 30 = 5 6

a. The sum is 9 10. c. The sum is 11 12.b. The sum is 10 10. d. The sum is 10 11.

____ 7. Alfred is practicing typing. The first time he tested himself, he could type 23 words per minute. After practicing for a week, he could type 26 words per minute. After two weeks he could type 29 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice.a. 39 words per minute c. 35 words per minuteb. 29 words per minute d. 32 words per minute

____ 8. What is a counterexample for the conjecture?Conjecture: Any number that is divisible by 4 is also divisible by 8.a. 24 b. 40 c. 12 d. 26

____ 9. What is the conclusion of the following conditional?A number is divisible by 2 if the number is even.a. The number is divisible by 2.b. If a number is even, then the number is divisible by 2.c. The sum of the digits of the number is divisible by 2.d. The number is even.

____ 10. Identify the hypothesis and conclusion of this conditional statement:If two lines intersect at right angles, then the two lines are perpendicular.a. Hypothesis: The two lines are perpendicular.

Conclusion: Two lines intersect at right angles.b. Hypothesis: Two lines intersect at right angles.

Conclusion: The two lines are perpendicular.c. Hypothesis: The two lines are not perpendicular.

Conclusion: Two lines intersect at right angles.d. Hypothesis: Two lines intersect at right angles.

Conclusion: The two lines are not perpendicular.

Name: ________________________ ID: A

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____ 11. What is the converse of the following conditional?If a point is in the first quadrant, then its coordinates are positive.a. If a point is in the first quadrant, then its coordinates are positive.b. If a point is not in the first quadrant, then the coordinates of the point are not positive.c. If the coordinates of a point are positive, then the point is in the first quadrant.d. If the coordinates of a point are not positive, then the point is not in the first quadrant.

____ 12. If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.Statement 1: If x = 3, then 3x – 4 = 5.Statement 2: x = 3a. 3x – 4 = 5 c. If 3x – 4 = 5, then x = 3.b. x = 3 d. not possible

____ 13. Use the Law of Detachment to draw a conclusion from the two given statements.

If two angles are congruent, then they have equal measures.

P and Q are congruent.

a. mP + mQ = 90 c. P is the complement of Q.

b. mP = mQ d. mP mQ

____ 14. Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.I can go to the concert if I can afford to buy a ticket.I can go to the concert.a. I can afford to buy a ticket.b. I cannot afford to buy the ticket.c. If I can go to the concert, I can afford the ticket.d. not possible

____ 15. Use the Law of Syllogism to draw a conclusion from the two given statements.If you exercise regularly, then you have a healthy body.If you have a healthy body, then you have more energy.a. You have more energy.b. If you do not have more energy, then you do not exercise regularly.c. If you exercise regularly, then you have more energy.d. You have a healthy body.

____ 16. Use the Law of Syllogism to draw a conclusion from the two given statements.If three points lie on the same line, then they are collinear.If three points are collinear, then they lie in the same plane.a. The three points are collinear.b. If three points lie on the same line, then they lie in the same plane.c. If three points do not lie in the same plane, then they do not lie on the same line.d. The three points lie in the same plane.

Name: ________________________ ID: A

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____ 17. Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the three given statements.If it is Friday night, then there is a football game.If there is a football game, then Josef is wearing his school colors.It is Friday night.a. Josef is wearing his school colors.b. There is a football game.c. If it is Friday night, then Josef is wearing his school colors.d. If it is not Friday night, then Josef is not wearing his school colors.

____ 18. What are the minor arcs of O?

a. LM , LN , MN , MP, NP, and PL c. MN and PL

b. LM , MN , NP, and PL d. LM and NP

____ 19. What are the major arcs of O that contain point J?

a. HJ , HK , JK , JL, KL, and LH

b. JKH , KLJ , and HJL

c. JKH , JKL, KLJ , KLH , LHK , and HJL

d. JKH , KLJ , LHK , and HJL

Name: ________________________ ID: A

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____ 20. Find the measure of CDE.The figure is not drawn to scale.

a. 172 b. 182 c. 162 d. 188

Find the circumference. Leave your answer in terms of .

____ 21.

a. 11.4 cm b. 8.55 cm c. 2.85 cm d. 5.7 cm

____ 22.

a. 54 in. b. 36 in. c. 18 in. d. 324 in.

____ 23. The circumference of a circle is 60 cm. Find the diameter, the radius, and the length of an arc of 140°.a. 60 cm; 30 cm; 23.3 cm c. 120 cm; 30 cm; 160 cmb. 60 cm; 120 cm; 11.7 cm d. 30 cm; 60 cm; 11.7 cm

Name: ________________________ ID: A

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____ 24. Find the length of YPX . Leave your answer in terms of .

a. 24 m b. 12 m c. 4 m d. 720 m

Find the area of the circle. Leave your answer in terms of .

____ 25.

a. 25.92 m2 b. 1.8 m2 c. 12.96 m2 d. 46.66 m2

____ 26.

a. 4.2025 m2 b. 8.405 m2 c. 16.81 m2 d. 11.2 m2

____ 27. A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and found it to be 20 cm. To the nearest tenth, what is the area of the wheel?a. 63.7 cm2 b. 31.8 cm2 c. 15.7 cm2 d. 127.3 cm2

____ 28. Find the area of the figure to the nearest tenth.

a. 13 in.2 b. 37.1 in.2 c. 116.6 in.2 d. 233.3 in.2

Name: ________________________ ID: A

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____ 29. Find the area of a sector with a central angle of 120° and a diameter of 9.6 cm. Round to the nearest tenth.a. 24.1 cm2 b. 2.5 cm2 c. 96.5 cm2 d. 6.4 cm2

____ 30. The area of sector AOB is 20.25 ft2 . Find the exact area of the shaded region.

a. 20.25 40.5 ft2c. 20.25 40.5 2

ft2

b. 20.25 81 ft2d. none of these

____ 31. Find the area of the shaded region. Leave your answer in terms of and in simplest radical form.

a. 120 6 3

m2 c. 120 36 3

m2

b. 142 36 3

m2 d. none of these

____ 32. Find the exact area of the shaded region.

a. 192 144 m2 c. 8 144 3

m2

b. 192 144 3

m2 d. none of these

Name: ________________________ ID: A

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____ 33. Find the probability that a point chosen at random from JP is on the segment KO .

a.12

b.45

c.56

d.23

____ 34. Lenny’s favorite radio station has this hourly schedule: news 13 min, commercials 2 min, music 45 min. If Lenny chooses a time of day at random to turn on the radio to his favorite station, what is the probability that he will hear the news?

a.1345

b.34

c.130

d.1360

____ 35. The delivery van arrives at an office every day between 3 PM and 5 PM. The office doors were locked between 3:15 PM and 3:35 PM. What is the probability that the doors were unlocked when the delivery van arrived?

a.56

b.512

c.13

d.16

____ 36. Find the probability that a point chosen at random will lie in the shaded area.

a. 0.32 b. 0.62 c. 0.94 d. 0.02

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.)

____ 37. mO 154

a. 77 b. 26 c. 334 d. 308

____ 38. mP 12

a. 78 b. 39 c. 102 d. 24

In the figure, PA

and PB

are tangent to circle O and PD

bisects BPA. The figure is not drawn to scale.

____ 39. For mAOC = 46, find mPOB.a. 23 b. 90 c. 46 d. 68

____ 40. For mAOC = 46, find mBPO.a. 44 b. 67 c. 46 d. 136

Name: ________________________ ID: A

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____ 41. AB is tangent to O. If AO 24 and BC 50, what is AB?

The diagram is not to scale.

a. 74 b. 94 c. 70 d. 100

____ 42. A satellite is 13,200 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.The diagram is not to scale.

a. 13,793 miles b. 17,200 miles c. 9,793 miles d. 16,552 miles

Name: ________________________ ID: A

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____ 43. BC is tangent to circle A at B and to circle D at C (not drawn to scale). AB = 8, BC = 16, and DC = 5. Find AD to the nearest tenth.

a. 17.9 b. 16.8 c. 16.3 d. 20.6

____ 44. A chain fits tightly around two gears as shown. The distance between the centers of the gears is 20 inches. The radius of the larger gear is 11 inches. Find the radius of the smaller gear. Round your answer to the nearest tenth, if necessary. The diagram is not to scale.

a. 17.2 inches b. 6.2 inches c. 11 inches d. 4.8 inches

____ 45. AB is tangent to circle O at B. Find the length of the radius r for AB = 5 and AO = 8.6. Round to the nearest tenth if necessary. The diagram is not to scale.

a. 9.9 b. 7 c. 13 d. 3.6

Name: ________________________ ID: A

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____ 46. Pentagon RSTUV is circumscribed about a circle. Solve for x for RS = 10, ST = 13, TU = 11, UV = 12, and VR = 12. The figure is not drawn to scale.

a. 4 b. 8 c. 11 d. 6

____ 47. JK , KL, and LJ are all tangent to circle O (not drawn to scale), and JK LJ . JA = 9, AL = 10, and CK = 14. Find the perimeter of JKL.

a. 66 b. 38 c. 46 d. 33

Name: ________________________ ID: A

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____ 48. In circle A, NA PA, MO NA, RO PA, MO = 3 ftWhat is PO?

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

____ 49. In circle Z, BZ FZ, BZ CA, FZ DC, DF = 18 in.What is BC?

a. 36 in. b. 18 in. c. 27 in. d. 9 in.

Name: ________________________ ID: A

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Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.

____ 50.

a. 8 b. 5 c. 6 d. 10

____ 51.

a. 21.9 b. 181.3 c. 24 d. 13.5

____ 52.

a. 13 b. 26 c. 77 d. 38.5

Name: ________________________ ID: A

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____ 53. FG OP, RS OQ , FG = 33, RS = 36, OP = 14

a. 12 b. 18 c. 14 d. 21.2

Use the diagram. AB is a diameter, and AB CD. The figure is not drawn to scale.

____ 54. Find m BD for m AC = 59.a. 121 b. 149 c. 118 d. 31

Name: ________________________ ID: A

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____ 55. WZ and XR are diameters. Find the measure of ZWX . (The figure is not drawn to scale.)

a. 74 b. 211 c. 255 d. 286

____ 56. The radius of circle O is 18, and OC = 13. Find AB. Round to the nearest tenth, if necessary. (The figure is not drawn to scale.)

a. 12.4 b. 3.8 c. 24.9 d. 44.4

Name: ________________________ ID: A

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____ 57. Find the measure of BAC in circle O. (The figure is not drawn to scale.)

a. 57 b. 28.5 c. 33 d. 114

____ 58. Find x in circle O. (The figure is not drawn to scale.)

a. 92 b. 44 c. 23 d. 46

Name: ________________________ ID: A

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____ 59. Find mBAC in circle O. (The figure is not drawn to scale.)

a. 114 b. 57 c. 132 d. 33

____ 60. In circle O, mR = 22. Find mO. (The figure is not drawn to scale.)

a. 68 b. 22 c. 158 d. 44

Name: ________________________ ID: A

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____ 61. Given that DAB and DCB are right angles and mBDC = 47º, what is m CAD? (The figure is not drawn to scale.)

a. 321 b. 282 c. 188 d. 274

____ 62. If mCDB 31, what is mCAB?

a. 59 b. 31 c. 15.5 d. 149

Name: ________________________ ID: A

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____ 63. BD

is tangent to circle O at C, mAEC 295, and mACE 81. Find mDCE.(The figure is not drawn to scale.)

a. 107 b. 66.5 c. 133 d. 53.5

____ 64. AC

is tangent to circle O at A. If mBY 43, what is mYAC? (The figure is not drawn to scale.)

a. 137 b. 68.5 c. 86 d. 94

Name: ________________________ ID: A

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____ 65. PQ

is tangent to the circle at C. In the circle, mAD 100, and mD = 99. Find mDCQ.

(The figure is not drawn to scale.)

a. 31 b. 161 c. 62 d. 80.5

____ 66. PQ

is tangent to the circle at C. In the circle, mBC 80. Find mBCP.

(The figure is not drawn to scale.)

a. 40 b. 100 c. 160 d. 80

Name: ________________________ ID: A

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____ 67. mS 37, mRS 94, and RU is tangent to the circle at R. Find mU.(The figure is not drawn to scale.)

a. 57 b. 28.5 c. 10 d. 20

____ 68. mDE 128 and mBC 63. Find mA. (The figure is not drawn to scale.)

a. 32.5 b. 65 c. 95.5 d. 96.5

____ 69. Find the value of x for mAB 46 and mCD 25. (The figure is not drawn to scale.)

a. 35.5 b. 58.5 c. 71 d. 21

Name: ________________________ ID: A

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____ 70. DA is tangent to the circle at A and DC is tangent to the circle at C. Find mD for mB = 62. (The figure is not drawn to scale.)

a. 118 b. 112 c. 59 d. 56

____ 71. A park maintenance person stands 16 m from a circular monument. Assume that her lines of sight form tangents to the monument and make an angle of 55°. What is the measure of the arc of the monument that her lines of sight intersect?a. 125 b. 110 c. 250 d. 27.5

____ 72. The lines in the figure are tangent to the circle at points A and B. Find the measure of value of AB for mP 52. (The figure is not drawn to scale.)

a. 128 b. 104 c. 256 d. 26

Name: ________________________ ID: A

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____ 73. 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 121, what is the measure of the intercepted arc on Earth? (The figure is not drawn to scale.)

a. 59 b. 118 c. 60.5 d. 242

____ 74. A footbridge is in the shape of an arc of a circle. The bridge is 4.5 ft tall and 25 ft wide. What is the radius of the circle that contains the bridge? Round to the nearest tenth.a. 39.2 ft b. 71.7 ft c. 19.6 ft d. 34.7 ft

Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.

____ 75.

a. 18.8 b. 120 c. 5.3 d. 12

Name: ________________________ ID: A

25

____ 76. AB = 20, BC = 6, and CD = 8

a. 18.5 b. 11.5 c. 19.5 d. 15

____ 77. The figure consists of a chord, a secant, and a tangent to the circle. Round to the nearest hundredth, if necessary.

a. 15.75 b. 9 c. 5.14 d. 28

____ 78. CD is tangent to circle O at D. Find the diameter of the circle for BC = 13 and DC = 24. Round to the nearest tenth.(The diagram is not drawn to scale.)

a. 31.3 b. 44.3 c. 11.2 d. 57.3

Name: ________________________ ID: A

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____ 79. AD is tangent to circle O at D. Find AB. Round to the nearest tenth if necessary.

a. 1.1 b. 11.5 c. 3.5 d. 4.3

Write the standard equation for the circle.

____ 80. center (–6, 9), r = 3

a. (x – 9)2 + (y + 6)2 = 9 c. (x – 6)2 + (y + 9)2 = 3

b. (x + 6)2 + (y – 9)2 = 3 d. (x + 6)2 + (y – 9)2 = 9

____ 81. Find the center and radius of the circle with equation (x + 2)2 + (y + 10)2 = 4.a. center (–2, –10); r = 2 c. center (–2, –10); r = 4b. center (2, 10); r = 4 d. center (10, 2); r = 2

____ 82. What is the equation of the circle with center (3, 5) that passes through the point (–4, 10)?

a. (x 3)2 (y 5)2 226 c. (x (4))2 (y 10)2 226

b. (x (4))2 (y 10)2 74 d. (x 3)2 (y 5)2 74

____ 83. What is the equation of the circle with center (0, 0) that passes through the point (5, –4)?

a. x2 y2 41 c. (x 5)2 (y (4))2 9

b. (x (4))2 (y (4))2 41 d. x2 y2 9

Name: ________________________ ID: A

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____ 84. A manufacturer is designing a two-wheeled cart that can maneuver through tight spaces. On one test model, the

wheel placement (center) and radius is modeled by the equation (x 2)2 (y 1)2 4. What is the graph that

shows the position and radius of the wheels?

a. c.

b. d.

____ 85. Write the equation of the locus of all points in the coordinate plane 8 units from (–7, –10).

a. (x + 10)2 + (y + 7)2 = 64 c. (x + 7)2 + (y + 10)2 = 64

b. (x + 7)2 + (y + 10)2 = 8 d. (x – 7)2 + (y – 10)2 = 8

ID: A

1

Geometry SIA #4, Review #1Answer Section

MULTIPLE CHOICE

1. ANS: D PTS: 1 DIF: L3 REF: 2-1 Patterns and Inductive Reasoning OBJ: 2-1.1 Use inductive reasoning to make conjectures STA: MA.912.G.8.4TOP: 2-1 Problem 1 Finding and Using a Pattern KEY: pattern | inductive reasoningDOK: DOK 2

2. ANS: B PTS: 1 DIF: L3 REF: 2-1 Patterns and Inductive Reasoning OBJ: 2-1.1 Use inductive reasoning to make conjectures STA: MA.912.G.8.4TOP: 2-1 Problem 1 Finding and Using a Pattern KEY: pattern | inductive reasoningDOK: DOK 2

3. ANS: A PTS: 1 DIF: L2 REF: 2-1 Patterns and Inductive Reasoning OBJ: 2-1.1 Use inductive reasoning to make conjectures STA: MA.912.G.8.4TOP: 2-1 Problem 2 Using Inductive Reasoning KEY: inductive reasoning | patternDOK: DOK 2

4. ANS: A PTS: 1 DIF: L3 REF: 2-1 Patterns and Inductive Reasoning OBJ: 2-1.1 Use inductive reasoning to make conjectures STA: MA.912.G.8.4TOP: 2-1 Problem 2 Using Inductive Reasoning KEY: inductive reasoning | patternDOK: DOK 2

5. ANS: A PTS: 1 DIF: L4 REF: 2-1 Patterns and Inductive Reasoning OBJ: 2-1.1 Use inductive reasoning to make conjectures STA: MA.912.G.8.4TOP: 2-1 Problem 3 Collecting Information to Make a Conjecture KEY: inductive reasoning | conjecture | pattern DOK: DOK 3

6. ANS: D PTS: 1 DIF: L3 REF: 2-1 Patterns and Inductive Reasoning OBJ: 2-1.1 Use inductive reasoning to make conjectures STA: MA.912.G.8.4TOP: 2-1 Problem 3 Collecting Information to Make a Conjecture KEY: inductive reasoning | pattern | conjecture DOK: DOK 2

7. ANS: C PTS: 1 DIF: L3 REF: 2-1 Patterns and Inductive Reasoning OBJ: 2-1.1 Use inductive reasoning to make conjectures STA: MA.912.G.8.4TOP: 2-1 Problem 4 Making a Prediction KEY: conjecture | inductive reasoning | word problem | problem solving DOK: DOK 2

8. ANS: C PTS: 1 DIF: L2 REF: 2-1 Patterns and Inductive Reasoning OBJ: 2-1.1 Use inductive reasoning to make conjectures STA: MA.912.G.8.4TOP: 2-1 Problem 5 Finding a Counterexample KEY: conjecture | counterexampleDOK: DOK 2

ID: A

2

9. ANS: A PTS: 1 DIF: L3 REF: 2-2 Conditional StatementsOBJ: 2-2.1 Recognize conditional statements and their parts STA: MA.912.G.8.4TOP: 2-2 Problem 1 Identifying the Hypothesis and the Conclusion KEY: conditional statement | conclusion DOK: DOK 2

10. ANS: B PTS: 1 DIF: L3 REF: 2-2 Conditional StatementsOBJ: 2-2.1 Recognize conditional statements and their parts STA: MA.912.G.8.4TOP: 2-2 Problem 1 Identifying the Hypothesis and the Conclusion KEY: conditional statement | hypothesis | conclusion DOK: DOK 2

11. ANS: C PTS: 1 DIF: L2 REF: 2-2 Conditional StatementsOBJ: 2-2.2 Write converses, inverses, and contrapositives of conditionalsSTA: MA.912.D.6.2| MA.912.D.6.3 TOP: 2-2 Problem 4 Writing and Finding Truth Values of Statements KEY: conditional statement | converse of a conditional DOK: DOK 2

12. ANS: A PTS: 1 DIF: L4 REF: 2-4 Deductive ReasoningOBJ: 2-4.1 Use the Law of Detachment and the Law of Syllogism STA: MA.912.D.6.4 TOP: 2-4 Problem 1 Using the Law of DetachmentKEY: Law of Detachment | deductive reasoning DOK: DOK 3

13. ANS: B PTS: 1 DIF: L3 REF: 2-4 Deductive ReasoningOBJ: 2-4.1 Use the Law of Detachment and the Law of Syllogism STA: MA.912.D.6.4 TOP: 2-4 Problem 1 Using the Law of DetachmentKEY: deductive reasoning | Law of Detachment DOK: DOK 2

14. ANS: D PTS: 1 DIF: L3 REF: 2-4 Deductive ReasoningOBJ: 2-4.1 Use the Law of Detachment and the Law of Syllogism STA: MA.912.D.6.4 TOP: 2-4 Problem 1 Using the Law of DetachmentKEY: deductive reasoning | Law of Detachment DOK: DOK 2

15. ANS: C PTS: 1 DIF: L3 REF: 2-4 Deductive ReasoningOBJ: 2-4.1 Use the Law of Detachment and the Law of Syllogism STA: MA.912.D.6.4 TOP: 2-4 Problem 2 Using the Law of SyllogismKEY: deductive reasoning | Law of Syllogism DOK: DOK 2

16. ANS: B PTS: 1 DIF: L3 REF: 2-4 Deductive ReasoningOBJ: 2-4.1 Use the Law of Detachment and the Law of Syllogism STA: MA.912.D.6.4 TOP: 2-4 Problem 2 Using the Law of SyllogismKEY: deductive reasoning | Law of Syllogism DOK: DOK 2

17. ANS: A PTS: 1 DIF: L4 REF: 2-4 Deductive ReasoningOBJ: 2-4.1 Use the Law of Detachment and the Law of Syllogism STA: MA.912.D.6.4 TOP: 2-4 Problem 3 Using the Laws of Syllogism and Detachment KEY: deductive reasoning | Law of Detachment | Law of Syllogism DOK: DOK 3

18. ANS: B PTS: 1 DIF: L3 REF: 10-6 Circles and ArcsOBJ: 10-6.1 Find the measures of central angles and arcs NAT: CC G.CO.1STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 1 Naming ArcsKEY: major arc | minor arc | semicircle DOK: DOK 1

19. ANS: D PTS: 1 DIF: L3 REF: 10-6 Circles and ArcsOBJ: 10-6.1 Find the measures of central angles and arcs NAT: CC G.CO.1STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 1 Naming ArcsKEY: major arc | minor arc | semicircle DOK: DOK 1

ID: A

3

20. ANS: A PTS: 1 DIF: L3 REF: 10-6 Circles and ArcsOBJ: 10-6.1 Find the measures of central angles and arcs NAT: CC G.CO.1STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 2 Finding the Measures of Arcs KEY: major arc | measure of an arc | arcDOK: DOK 1

21. ANS: D PTS: 1 DIF: L2 REF: 10-6 Circles and ArcsOBJ: 10-6.2 Find the circumference and arc length NAT: CC G.CO.1STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 3 Finding a DistanceKEY: circumference | diameter DOK: DOK 2

22. ANS: B PTS: 1 DIF: L2 REF: 10-6 Circles and ArcsOBJ: 10-6.2 Find the circumference and arc length NAT: CC G.CO.1STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 3 Finding a DistanceKEY: circumference | radius DOK: DOK 2

23. ANS: A PTS: 1 DIF: L4 REF: 10-6 Circles and ArcsOBJ: 10-6.2 Find the circumference and arc length NAT: CC G.CO.1STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 4 Finding Arc LengthKEY: circumference | radius DOK: DOK 2

24. ANS: B PTS: 1 DIF: L3 REF: 10-6 Circles and ArcsOBJ: 10-6.2 Find the circumference and arc length NAT: CC G.CO.1STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 4 Finding Arc LengthKEY: arc | circumference DOK: DOK 2

25. ANS: C PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles NAT: CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5TOP: 10-7 Problem 1 Finding the Area of a Circle KEY: area of a circle | radiusDOK: DOK 2

26. ANS: A PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles NAT: CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5TOP: 10-7 Problem 1 Finding the Area of a Circle KEY: area of a circle | radiusDOK: DOK 2

27. ANS: B PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles NAT: CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5TOP: 10-7 Problem 1 Finding the Area of a Circle KEY: circumference | radius | diameter | area of a circle | word problem | problem solvingDOK: DOK 3

28. ANS: C PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles NAT: CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: sector | circle | areaDOK: DOK 2

29. ANS: A PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles NAT: CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: sector | circle | area | central angleDOK: DOK 2

ID: A

4

30. ANS: A PTS: 1 DIF: L2 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles NAT: CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5TOP: 10-7 Problem 3 Finding the Area of a Segment of a Circle KEY: sector | circle | area | central angle DOK: DOK 2

31. ANS: C PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles NAT: CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5TOP: 10-7 Problem 3 Finding the Area of a Segment of a Circle KEY: sector | circle | area | central angle DOK: DOK 2

32. ANS: B PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles NAT: CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5TOP: 10-7 Problem 3 Finding the Area of a Segment of a Circle KEY: sector | circle | area | central angle DOK: DOK 2

33. ANS: D PTS: 1 DIF: L4 REF: 10-8 Geometric ProbabilityOBJ: 10-8.1 Use segment and area models to find the probabilities of eventsSTA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 1 Using Segments to Find Probability KEY: geometric probability | segmentDOK: DOK 1

34. ANS: D PTS: 1 DIF: L3 REF: 10-8 Geometric ProbabilityOBJ: 10-8.1 Use segment and area models to find the probabilities of eventsSTA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 2 Using Segments to Find Probability KEY: geometric probability | segment | word problem | problem solving DOK: DOK 2

35. ANS: A PTS: 1 DIF: L4 REF: 10-8 Geometric ProbabilityOBJ: 10-8.1 Use segment and area models to find the probabilities of eventsSTA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 2 Using Segments to Find Probability KEY: geometric probability | segment | word problem | problem solving DOK: DOK 2

36. ANS: A PTS: 1 DIF: L3 REF: 10-8 Geometric ProbabilityOBJ: 10-8.1 Use segment and area models to find the probabilities of eventsSTA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 3 Using Area to Find Probability KEY: geometric probabilityDOK: DOK 2

37. ANS: B PTS: 1 DIF: L3 REF: 12-1 Tangent LinesOBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 1 Finding Angle Measures KEY: tangent to a circle | point of tangency | properties of tangents | central angleDOK: DOK 1

ID: A

5

38. ANS: A PTS: 1 DIF: L3 REF: 12-1 Tangent LinesOBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 1 Finding Angle Measures KEY: tangent to a circle | point of tangency | angle measure | properties of tangents | central angleDOK: DOK 1

39. ANS: C PTS: 1 DIF: L4 REF: 12-1 Tangent LinesOBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 1 Finding Angle Measures KEY: properties of tangents | tangent to a circle | Tangent Theorem DOK: DOK 2

40. ANS: A PTS: 1 DIF: L4 REF: 12-1 Tangent LinesOBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 1 Finding Angle Measures KEY: properties of tangents | tangent to a circle | Tangent Theorem DOK: DOK 2

41. ANS: C PTS: 1 DIF: L2 REF: 12-1 Tangent LinesOBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 2 Finding DistanceKEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean TheoremDOK: DOK 2

42. ANS: C PTS: 1 DIF: L3 REF: 12-1 Tangent LinesOBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 2 Finding DistanceKEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean TheoremDOK: DOK 2

43. ANS: C PTS: 1 DIF: L4 REF: 12-1 Tangent LinesOBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 2 Finding DistanceKEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean TheoremDOK: DOK 2

44. ANS: D PTS: 1 DIF: L4 REF: 12-1 Tangent LinesOBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 3 Finding a RadiusKEY: word problem | tangent to a circle | point of tangency | properties of tangents | right triangle | Pythagorean Theorem DOK: DOK 2

45. ANS: B PTS: 1 DIF: L3 REF: 12-1 Tangent LinesOBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 3 Finding a RadiusKEY: tangent to a circle | point of tangency | properties of tangents | right triangle | Pythagorean TheoremDOK: DOK 2

ID: A

6

46. ANS: A PTS: 1 DIF: L3 REF: 12-1 Tangent LinesOBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 5 Circles Inscribed in Polygons KEY: properties of tangents | tangent to a circle | pentagon DOK: DOK 2

47. ANS: A PTS: 1 DIF: L3 REF: 12-1 Tangent LinesOBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 5 Circles Inscribed in Polygons KEY: properties of tangents | tangent to a circle | triangle DOK: DOK 2

48. ANS: A PTS: 1 DIF: L3 REF: 12-2 Chords and ArcsOBJ: 12-2.2 Use perpendicular bisectors to chords NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 2 Finding the Length of a Chord KEY: circle | radius | chord | congruent chords | bisected chords DOK: DOK 1

49. ANS: B PTS: 1 DIF: L3 REF: 12-2 Chords and ArcsOBJ: 12-2.2 Use perpendicular bisectors to chords NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 2 Finding the Length of a Chord KEY: circle | radius | chord | congruent chords | bisected chords DOK: DOK 1

50. ANS: D PTS: 1 DIF: L2 REF: 12-2 Chords and ArcsOBJ: 12-2.2 Use perpendicular bisectors to chords NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 3 Using Diameters and Chords KEY: bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean TheoremDOK: DOK 2

51. ANS: D PTS: 1 DIF: L2 REF: 12-2 Chords and ArcsOBJ: 12-2.2 Use perpendicular bisectors to chords NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 3 Using Diameters and Chords KEY: bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean TheoremDOK: DOK 2

52. ANS: C PTS: 1 DIF: L2 REF: 12-2 Chords and ArcsOBJ: 12-2.1 Use congruent chords, arcs, and central angles NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 4 Finding Measures in a Circle KEY: arc | central angle | congruent arcsDOK: DOK 1

53. ANS: A PTS: 1 DIF: L3 REF: 12-2 Chords and ArcsOBJ: 12-2.1 Use congruent chords, arcs, and central angles NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 4 Finding Measures in a Circle KEY: circle | radius | chord | congruent chords | right triangle | Pythagorean TheoremDOK: DOK 3

ID: A

7

54. ANS: A PTS: 1 DIF: L3 REF: 12-2 Chords and ArcsOBJ: 12-2.1 Use congruent chords, arcs, and central angles NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 4 Finding Measures in a Circle KEY: arc | chord-arc relationship | diameter | chord | perpendicular | angle measure | circle | right triangle | perpendicular bisector DOK: DOK 2

55. ANS: B PTS: 1 DIF: L2 REF: 12-2 Chords and ArcsOBJ: 12-2.1 Use congruent chords, arcs, and central angles NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 4 Finding Measures in a Circle KEY: arc | central angle | congruent arcs | arc measure | arc addition | diameterDOK: DOK 1

56. ANS: C PTS: 1 DIF: L3 REF: 12-2 Chords and ArcsOBJ: 12-2.2 Use perpendicular bisectors to chords NAT: CC G.C.2STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-2 Problem 4 Finding Measures in a Circle KEY: bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean TheoremDOK: DOK 2

57. ANS: B PTS: 1 DIF: L3 REF: 12-3 Inscribed AnglesOBJ: 12-3.1 Find the measure of an inscribed angle NAT: CC G.C.2| CC G.C.4STA: MA.912.G.6.3| MA.912.G.6.4 TOP: 12-3 Problem 1 Using the Inscribed Angle TheoremKEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationshipDOK: DOK 1

58. ANS: C PTS: 1 DIF: L2 REF: 12-3 Inscribed AnglesOBJ: 12-3.1 Find the measure of an inscribed angle NAT: CC G.C.2| CC G.C.4STA: MA.912.G.6.3| MA.912.G.6.4 TOP: 12-3 Problem 1 Using the Inscribed Angle TheoremKEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationshipDOK: DOK 1

59. ANS: B PTS: 1 DIF: L4 REF: 12-3 Inscribed AnglesOBJ: 12-3.1 Find the measure of an inscribed angle NAT: CC G.C.2| CC G.C.4STA: MA.912.G.6.3| MA.912.G.6.4 TOP: 12-3 Problem 1 Using the Inscribed Angle TheoremKEY: circle | inscribed angle | central angle | intercepted arc DOK: DOK 2

60. ANS: D PTS: 1 DIF: L2 REF: 12-3 Inscribed AnglesOBJ: 12-3.1 Find the measure of an inscribed angle NAT: CC G.C.2| CC G.C.4STA: MA.912.G.6.3| MA.912.G.6.4 TOP: 12-3 Problem 2 Using Corollaries to Find Angle Measures KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationshipDOK: DOK 1

61. ANS: D PTS: 1 DIF: L3 REF: 12-3 Inscribed AnglesOBJ: 12-3.1 Find the measure of an inscribed angle NAT: CC G.C.2| CC G.C.4STA: MA.912.G.6.3| MA.912.G.6.4 TOP: 12-3 Problem 2 Using Corollaries to Find Angle Measures KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationshipDOK: DOK 2

ID: A

8

62. ANS: B PTS: 1 DIF: L2 REF: 12-3 Inscribed AnglesOBJ: 12-3.1 Find the measure of an inscribed angle NAT: CC G.C.2| CC G.C.4STA: MA.912.G.6.3| MA.912.G.6.4 TOP: 12-3 Problem 2 Using Corollaries to Find Angle Measures KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationshipDOK: DOK 1

63. ANS: B PTS: 1 DIF: L3 REF: 12-3 Inscribed AnglesOBJ: 12-3.2 Find the measure of an angle formed by a tangent and a chordNAT: CC G.C.2| CC G.C.4 STA: MA.912.G.6.3| MA.912.G.6.4TOP: 12-3 Problem 3 Using Arc Measure KEY: circle | inscribed angle | tangent-chord angle | intercepted arc DOK: DOK 2

64. ANS: B PTS: 1 DIF: L3 REF: 12-3 Inscribed AnglesOBJ: 12-3.2 Find the measure of an angle formed by a tangent and a chordNAT: CC G.C.2| CC G.C.4 STA: MA.912.G.6.3| MA.912.G.6.4TOP: 12-3 Problem 3 Using Arc Measure KEY: circle | inscribed angle | tangent-chord angle | intercepted arc | arc measure | angle measureDOK: DOK 2

65. ANS: A PTS: 1 DIF: L3 REF: 12-3 Inscribed AnglesOBJ: 12-3.2 Find the measure of an angle formed by a tangent and a chordNAT: CC G.C.2| CC G.C.4 STA: MA.912.G.6.3| MA.912.G.6.4TOP: 12-3 Problem 3 Using Arc Measure KEY: circle | inscribed angle | tangent-chord angle | intercepted arc | arc measure | angle measureDOK: DOK 2

66. ANS: A PTS: 1 DIF: L2 REF: 12-3 Inscribed AnglesOBJ: 12-3.2 Find the measure of an angle formed by a tangent and a chordNAT: CC G.C.2| CC G.C.4 STA: MA.912.G.6.3| MA.912.G.6.4TOP: 12-3 Problem 3 Using Arc Measure KEY: circle | inscribed angle | tangent-chord angle | arc measure | angle measureDOK: DOK 1

67. ANS: C PTS: 1 DIF: L3 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.1 Find measures of angles formed by chords, secants, and tangentsNAT: CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4TOP: 12-4 Problem 1 Finding Angle Measures KEY: circle | chord | angle measure | arc measure | intersection on the circle | intersection outside the circleDOK: DOK 2

68. ANS: A PTS: 1 DIF: L3 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.1 Find measures of angles formed by chords, secants, and tangentsNAT: CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4TOP: 12-4 Problem 1 Finding Angle Measures KEY: circle | secant | angle measure | arc measure | intersection outside the circleDOK: DOK 1

ID: A

9

69. ANS: A PTS: 1 DIF: L3 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.1 Find measures of angles formed by chords, secants, and tangentsNAT: CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4TOP: 12-4 Problem 1 Finding Angle Measures KEY: circle | secant | angle measure | arc measure | intersection inside the circleDOK: DOK 1

70. ANS: D PTS: 1 DIF: L3 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.1 Find measures of angles formed by chords, secants, and tangentsNAT: CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4TOP: 12-4 Problem 1 Finding Angle Measures KEY: circle | chord | angle measure | arc measure | intersection on the circle | intersection outside the circleDOK: DOK 2

71. ANS: A PTS: 1 DIF: L3 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.1 Find measures of angles formed by chords, secants, and tangentsNAT: CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4TOP: 12-4 Problem 2 Finding an Arc Measure KEY: circle | angle measure | word problem | arc measure | intersection outside the circleDOK: DOK 2

72. ANS: A PTS: 1 DIF: L2 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.1 Find measures of angles formed by chords, secants, and tangentsNAT: CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4TOP: 12-4 Problem 2 Finding an Arc Measure KEY: circle | angle measure | word problem | arc measure | intersection outside the circleDOK: DOK 2

73. ANS: A PTS: 1 DIF: L4 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.1 Find measures of angles formed by chords, secants, and tangentsNAT: CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4TOP: 12-4 Problem 2 Finding an Arc Measure KEY: circle | angle measure | word problem | arc measure | intersection outside the circleDOK: DOK 2

74. ANS: C PTS: 1 DIF: L4 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.2 Find the lengths of segments associated with circles STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 TOP: 12-4 Problem 3 Finding Segment Lengths KEY: arc | radius | intersection inside the circle | chord | segment length | word problemDOK: DOK 3

75. ANS: D PTS: 1 DIF: L3 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.2 Find the lengths of segments associated with circles STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 TOP: 12-4 Problem 3 Finding Segment Lengths KEY: circle | chord | intersection inside the circle DOK: DOK 2

ID: A

10

76. ANS: B PTS: 1 DIF: L3 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.2 Find the lengths of segments associated with circles STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 TOP: 12-4 Problem 3 Finding Segment Lengths KEY: circle | intersection outside the circle | secant DOK: DOK 2

77. ANS: A PTS: 1 DIF: L4 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.2 Find the lengths of segments associated with circles STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 TOP: 12-4 Problem 3 Finding Segment Lengths KEY: circle | chord | intersection inside the circle | intersection outside the circle | secant | tangent to a circleDOK: DOK 2

78. ANS: A PTS: 1 DIF: L3 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.2 Find the lengths of segments associated with circles STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 TOP: 12-4 Problem 3 Finding Segment Lengths KEY: circle | intersection outside the circle | secant | tangent | diameter DOK: DOK 2

79. ANS: C PTS: 1 DIF: L3 REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.2 Find the lengths of segments associated with circles STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 TOP: 12-4 Problem 3 Finding Segment Lengths KEY: circle | intersection outside the circle | secant | tangent DOK: DOK 2

80. ANS: D PTS: 1 DIF: L3 REF: 12-5 Circles in the Coordinate Plane OBJ: 12-5.1 Write the equation of a circle NAT: CC G.GPE.1STA: MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7 TOP: 12-5 Problem 1 Writing the Equation of a Circle KEY: equation of a circle | center | radiusDOK: DOK 1

81. ANS: A PTS: 1 DIF: L3 REF: 12-5 Circles in the Coordinate Plane OBJ: 12-5.2 Find the center and radius of a circle NAT: CC G.GPE.1STA: MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7 TOP: 12-5 Problem 1 Writing the Equation of a Circle KEY: center | circle | coordinate plane | radius DOK: DOK 2

82. ANS: D PTS: 1 DIF: L3 REF: 12-5 Circles in the Coordinate Plane OBJ: 12-5.2 Find the center and radius of a circle NAT: CC G.GPE.1STA: MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7 TOP: 12-5 Problem 2 Using the Center and a Point on a Circle KEY: equation of a circle | center | radius | point on the circle | algebra DOK: DOK 2

ID: A

11

83. ANS: A PTS: 1 DIF: L3 REF: 12-5 Circles in the Coordinate Plane OBJ: 12-5.2 Find the center and radius of a circle NAT: CC G.GPE.1STA: MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7 TOP: 12-5 Problem 2 Using the Center and a Point on a Circle KEY: equation of a circle | center | radius | point on the circle | algebra DOK: DOK 2

84. ANS: A PTS: 1 DIF: L3 REF: 12-5 Circles in the Coordinate Plane OBJ: 12-5.2 Find the center and radius of a circle NAT: CC G.GPE.1STA: MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7 TOP: 12-5 Problem 3 Graphing a Circle Given Its Equation KEY: equation of a circle | center | radius | point on the circle | algebra DOK: DOK 2

85. ANS: C PTS: 1 DIF: L4 REF: 12-6 Locus: A Set of PointsOBJ: 12-6.1 Draw and describe a locus NAT: CC G.GMD.4 STA: MA.912.G.8.3 TOP: 12-6 Problem 1 Describing a Locus in a PlaneKEY: locus | equation of a circle DOK: DOK 2