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Name: ________________________ Class: ___________________ Date: __________ Geometry SIA #4, Review #1 Multiple Choice Identify 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 ____ 2. Based on the pattern, what are the next two terms of the sequence? 5 5 5 5 5, , , , ,... 3 9 27 81 5 5 5 5 a. , , c. 84 246 243 246 5 5 5 5 , , b. d. 243 729 84 87 ____ 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. d. The fifteenth figure in the pattern is There is not enough information. . 1 d. 33, 39 ID: A Name: ________________________ ID: A ____ 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? c. The sum is 9 10 90. a. The sum is 10 10 100. 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 = 12 2+4 = 6 = 23 2+4+6 = 12 = 3 4 2+4+6+8 = 20 = 4 5 2 + 4 + 6 + 8 + 10 = 30 = 5 6 a. b. The sum is 9 10. The sum is 10 10. c. d. The sum is 11 12. 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 minute b. 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 ____ 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. 2 d. 26 Name: ________________________ ID: A ____ 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 = 3 a. 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 b. mP = mQ c. d. P is the complement of Q. 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. 3 Name: ________________________ ID: A ____ 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 4 Name: ________________________ ID: A ____ 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 a. 54 in. b. 36 in. c. 18 in. d. 324 in. ____ 22. ____ 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 cm b. 60 cm; 120 cm; 11.7 cm d. 30 cm; 60 cm; 11.7 cm 5 Name: ________________________ ID: A ____ 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 a. 4.2025 m2 b. 8.405 m2 c. 16.81 m2 d. 11.2 m2 ____ 26. ____ 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. 6 116.6 in.2 d. 233.3 in.2 Name: ________________________ ID: A ____ 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 ft 2 . Find the exact area of the shaded region. a. 20.25 40.5ft 2 c. b. 20.25 81ft 2 d. 20.25 40.5 2 ft 2 none of these ____ 31. Find the area of the shaded region. Leave your answer in terms of and in simplest radical form. a. b. 120 6 3 m 2 142 36 3 m 2 c. 120 36 3 m 2 d. none of these ____ 32. Find the exact area of the shaded region. a. 192 144m 2 c. b. 192 144 3 m 2 8 144 3 m2 d. none of these 7 Name: ________________________ ID: A ____ 33. Find the probability that a point chosen at random from JP is on the segment KO . a. 1 2 b. 4 5 c. 5 6 d. 2 3 ____ 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? 13 3 1 13 a. b. c. d. 45 4 30 60 ____ 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. 5 6 b. 5 12 c. 1 3 d. 1 6 ____ 36. Find the probability that a point chosen at random will lie in the shaded area. a. 0.32 b. 0.62 c. 8 0.94 d. 0.02 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.) ____ 37. mO 154 a. 77 b. 26 c. 334 d. 308 b. 39 c. 102 d. 24 ____ 38. mP 12 a. 78 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 9 Name: ________________________ ID: A ____ 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. 10 9,793 miles d. 16,552 miles Name: ________________________ ID: A ____ 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. 11 13 d. 3.6 Name: ________________________ ID: A ____ 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. 12 46 d. 33 Name: ________________________ ID: A ____ 48. In circle A, NA PA , MO NA, RO PA , MO = 3 ft What is PO? a. 1.5 ft b. 6 ft c. 9 ft d. 3 ft d. 9 in. ____ 49. In circle Z, BZ FZ , BZ CA, FZ DC , DF = 18 in. What is BC? a. 36 in. b. 18 in. c. 13 27 in. Name: ________________________ ID: A 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 a. 21.9 b. 181.3 c. 24 d. 13.5 a. 13 b. 26 c. 77 d. 38.5 ____ 51. ____ 52. 14 Name: ________________________ ID: A ____ 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. 15 118 d. 31 Name: ________________________ ID: A ____ 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. 16 24.9 d. 44.4 Name: ________________________ ID: A ____ 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 23 d. 46 ____ 58. Find x in circle O. (The figure is not drawn to scale.) a. 92 b. 44 c. 17 Name: ________________________ ID: A ____ 59. Find mBAC in circle O. (The figure is not drawn to scale.) a. 114 b. 57 c. 132 d. 33 d. 44 ____ 60. In circle O, mR = 22. Find mO. (The figure is not drawn to scale.) a. 68 b. 22 c. 18 158 Name: ________________________ ID: A ____ 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 c. 15.5 d. 149 ____ 62. If mCDB 31, what is mCAB? a. 59 b. 31 19 Name: ________________________ ID: A ____ 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. 20 86 d. 94 Name: ________________________ ID: A ____ 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 d. 80 ____ 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. 21 160 Name: ________________________ ID: A ____ 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. 22 71 d. 21 Name: ________________________ ID: A ____ 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. 23 256 d. 26 Name: ________________________ ID: A ____ 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. 24 5.3 d. 12 Name: ________________________ ID: A ____ 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. 25 11.2 d. 57.3 Name: ________________________ ID: A ____ 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 = 4 b. 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. b. (x 3) 2 (y 5) 2 226 (x (4)) 2 (y 10) 2 74 c. d. (x (4)) 2 (y 10) 2 226 (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. b. x 2 y 2 41 (x (4)) 2 (y (4)) 2 41 c. d. 26 (x 5) 2 (y (4)) 2 9 x2 y2 9 Name: ________________________ ID: A ____ 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 27 ID: A Geometry SIA #4, Review #1 Answer Section MULTIPLE CHOICE 1. ANS: REF: OBJ: TOP: DOK: 2. ANS: REF: OBJ: TOP: DOK: 3. ANS: REF: OBJ: TOP: DOK: 4. ANS: REF: OBJ: TOP: DOK: 5. ANS: REF: OBJ: TOP: KEY: 6. ANS: REF: OBJ: TOP: KEY: 7. ANS: REF: OBJ: TOP: KEY: DOK: 8. ANS: REF: OBJ: TOP: DOK: D PTS: 1 DIF: L3 2-1 Patterns and Inductive Reasoning 2-1.1 Use inductive reasoning to make conjectures STA: 2-1 Problem 1 Finding and Using a Pattern KEY: DOK 2 B PTS: 1 DIF: L3 2-1 Patterns and Inductive Reasoning 2-1.1 Use inductive reasoning to make conjectures STA: 2-1 Problem 1 Finding and Using a Pattern KEY: DOK 2 A PTS: 1 DIF: L2 2-1 Patterns and Inductive Reasoning 2-1.1 Use inductive reasoning to make conjectures STA: 2-1 Problem 2 Using Inductive Reasoning KEY: DOK 2 A PTS: 1 DIF: L3 2-1 Patterns and Inductive Reasoning 2-1.1 Use inductive reasoning to make conjectures STA: 2-1 Problem 2 Using Inductive Reasoning KEY: DOK 2 A PTS: 1 DIF: L4 2-1 Patterns and Inductive Reasoning 2-1.1 Use inductive reasoning to make conjectures STA: 2-1 Problem 3 Collecting Information to Make a Conjecture inductive reasoning | conjecture | pattern DOK: D PTS: 1 DIF: L3 2-1 Patterns and Inductive Reasoning 2-1.1 Use inductive reasoning to make conjectures STA: 2-1 Problem 3 Collecting Information to Make a Conjecture inductive reasoning | pattern | conjecture DOK: C PTS: 1 DIF: L3 2-1 Patterns and Inductive Reasoning 2-1.1 Use inductive reasoning to make conjectures STA: 2-1 Problem 4 Making a Prediction conjecture | inductive reasoning | word problem | problem solving DOK 2 C PTS: 1 DIF: L2 2-1 Patterns and Inductive Reasoning 2-1.1 Use inductive reasoning to make conjectures STA: 2-1 Problem 5 Finding a Counterexample KEY: DOK 2 1 MA.912.G.8.4 pattern | inductive reasoning MA.912.G.8.4 pattern | inductive reasoning MA.912.G.8.4 inductive reasoning | pattern MA.912.G.8.4 inductive reasoning | pattern MA.912.G.8.4 DOK 3 MA.912.G.8.4 DOK 2 MA.912.G.8.4 MA.912.G.8.4 conjecture | counterexample ID: A 9. ANS: OBJ: TOP: KEY: 10. ANS: OBJ: TOP: KEY: 11. ANS: OBJ: STA: TOP: KEY: 12. ANS: OBJ: STA: KEY: 13. ANS: OBJ: STA: KEY: 14. ANS: OBJ: STA: KEY: 15. ANS: OBJ: STA: KEY: 16. ANS: OBJ: STA: KEY: 17. ANS: OBJ: STA: TOP: KEY: DOK: 18. ANS: OBJ: STA: KEY: 19. ANS: OBJ: STA: KEY: A PTS: 1 DIF: L3 REF: 2-2 Conditional Statements 2-2.1 Recognize conditional statements and their parts STA: MA.912.G.8.4 2-2 Problem 1 Identifying the Hypothesis and the Conclusion conditional statement | conclusion DOK: DOK 2 B PTS: 1 DIF: L3 REF: 2-2 Conditional Statements 2-2.1 Recognize conditional statements and their parts STA: MA.912.G.8.4 2-2 Problem 1 Identifying the Hypothesis and the Conclusion conditional statement | hypothesis | conclusion DOK: DOK 2 C PTS: 1 DIF: L2 REF: 2-2 Conditional Statements 2-2.2 Write converses, inverses, and contrapositives of conditionals MA.912.D.6.2| MA.912.D.6.3 2-2 Problem 4 Writing and Finding Truth Values of Statements conditional statement | converse of a conditional DOK: DOK 2 A PTS: 1 DIF: L4 REF: 2-4 Deductive Reasoning 2-4.1 Use the Law of Detachment and the Law of Syllogism MA.912.D.6.4 TOP: 2-4 Problem 1 Using the Law of Detachment Law of Detachment | deductive reasoning DOK: DOK 3 B PTS: 1 DIF: L3 REF: 2-4 Deductive Reasoning 2-4.1 Use the Law of Detachment and the Law of Syllogism MA.912.D.6.4 TOP: 2-4 Problem 1 Using the Law of Detachment deductive reasoning | Law of Detachment DOK: DOK 2 D PTS: 1 DIF: L3 REF: 2-4 Deductive Reasoning 2-4.1 Use the Law of Detachment and the Law of Syllogism MA.912.D.6.4 TOP: 2-4 Problem 1 Using the Law of Detachment deductive reasoning | Law of Detachment DOK: DOK 2 C PTS: 1 DIF: L3 REF: 2-4 Deductive Reasoning 2-4.1 Use the Law of Detachment and the Law of Syllogism MA.912.D.6.4 TOP: 2-4 Problem 2 Using the Law of Syllogism deductive reasoning | Law of Syllogism DOK: DOK 2 B PTS: 1 DIF: L3 REF: 2-4 Deductive Reasoning 2-4.1 Use the Law of Detachment and the Law of Syllogism MA.912.D.6.4 TOP: 2-4 Problem 2 Using the Law of Syllogism deductive reasoning | Law of Syllogism DOK: DOK 2 A PTS: 1 DIF: L4 REF: 2-4 Deductive Reasoning 2-4.1 Use the Law of Detachment and the Law of Syllogism MA.912.D.6.4 2-4 Problem 3 Using the Laws of Syllogism and Detachment deductive reasoning | Law of Detachment | Law of Syllogism DOK 3 B PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs 10-6.1 Find the measures of central angles and arcs NAT: CC G.CO.1 MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 1 Naming Arcs major arc | minor arc | semicircle DOK: DOK 1 D PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs 10-6.1 Find the measures of central angles and arcs NAT: CC G.CO.1 MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 1 Naming Arcs major arc | minor arc | semicircle DOK: DOK 1 2 ID: A 20. ANS: OBJ: STA: TOP: DOK: 21. ANS: OBJ: STA: KEY: 22. ANS: OBJ: STA: KEY: 23. ANS: OBJ: STA: KEY: 24. ANS: OBJ: STA: KEY: 25. ANS: OBJ: NAT: TOP: DOK: 26. ANS: OBJ: NAT: TOP: DOK: 27. ANS: OBJ: NAT: TOP: KEY: DOK: 28. ANS: OBJ: NAT: TOP: DOK: 29. ANS: OBJ: NAT: TOP: DOK: A PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs 10-6.1 Find the measures of central angles and arcs NAT: CC G.CO.1 MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 10-6 Problem 2 Finding the Measures of Arcs KEY: major arc | measure of an arc | arc DOK 1 D PTS: 1 DIF: L2 REF: 10-6 Circles and Arcs 10-6.2 Find the circumference and arc lengthNAT: CC G.CO.1 MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 3 Finding a Distance circumference | diameter DOK: DOK 2 B PTS: 1 DIF: L2 REF: 10-6 Circles and Arcs 10-6.2 Find the circumference and arc lengthNAT: CC G.CO.1 MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 3 Finding a Distance circumference | radius DOK: DOK 2 A PTS: 1 DIF: L4 REF: 10-6 Circles and Arcs 10-6.2 Find the circumference and arc lengthNAT: CC G.CO.1 MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 4 Finding Arc Length circumference | radius DOK: DOK 2 B PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs 10-6.2 Find the circumference and arc lengthNAT: CC G.CO.1 MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 4 Finding Arc Length arc | circumference DOK: DOK 2 C PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors 10-7.1 Find the areas of circles, sectors, and segments of circles CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 10-7 Problem 1 Finding the Area of a Circle KEY: area of a circle | radius DOK 2 A PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors 10-7.1 Find the areas of circles, sectors, and segments of circles CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 10-7 Problem 1 Finding the Area of a Circle KEY: area of a circle | radius DOK 2 B PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and Sectors 10-7.1 Find the areas of circles, sectors, and segments of circles CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 10-7 Problem 1 Finding the Area of a Circle circumference | radius | diameter | area of a circle | word problem | problem solving DOK 3 C PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors 10-7.1 Find the areas of circles, sectors, and segments of circles CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: sector | circle | area DOK 2 A PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors 10-7.1 Find the areas of circles, sectors, and segments of circles CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: sector | circle | area | central angle DOK 2 3 ID: A 30. ANS: OBJ: NAT: TOP: KEY: 31. ANS: OBJ: NAT: TOP: KEY: 32. ANS: OBJ: NAT: TOP: KEY: 33. ANS: OBJ: STA: TOP: DOK: 34. ANS: OBJ: STA: TOP: KEY: DOK: 35. ANS: OBJ: STA: TOP: KEY: DOK: 36. ANS: OBJ: STA: TOP: DOK: 37. ANS: OBJ: STA: TOP: KEY: DOK: A PTS: 1 DIF: L2 REF: 10-7 Areas of Circles and Sectors 10-7.1 Find the areas of circles, sectors, and segments of circles CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 10-7 Problem 3 Finding the Area of a Segment of a Circle sector | circle | area | central angle DOK: DOK 2 C PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and Sectors 10-7.1 Find the areas of circles, sectors, and segments of circles CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 10-7 Problem 3 Finding the Area of a Segment of a Circle sector | circle | area | central angle DOK: DOK 2 B PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors 10-7.1 Find the areas of circles, sectors, and segments of circles CC G.C.5 STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 10-7 Problem 3 Finding the Area of a Segment of a Circle sector | circle | area | central angle DOK: DOK 2 D PTS: 1 DIF: L4 REF: 10-8 Geometric Probability 10-8.1 Use segment and area models to find the probabilities of events MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 10-8 Problem 1 Using Segments to Find Probability KEY: geometric probability | segment DOK 1 D PTS: 1 DIF: L3 REF: 10-8 Geometric Probability 10-8.1 Use segment and area models to find the probabilities of events MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 10-8 Problem 2 Using Segments to Find Probability geometric probability | segment | word problem | problem solving DOK 2 A PTS: 1 DIF: L4 REF: 10-8 Geometric Probability 10-8.1 Use segment and area models to find the probabilities of events MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 10-8 Problem 2 Using Segments to Find Probability geometric probability | segment | word problem | problem solving DOK 2 A PTS: 1 DIF: L3 REF: 10-8 Geometric Probability 10-8.1 Use segment and area models to find the probabilities of events MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 10-8 Problem 3 Using Area to Find Probability KEY: geometric probability DOK 2 B PTS: 1 DIF: L3 REF: 12-1 Tangent Lines 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2 MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-1 Problem 1 Finding Angle Measures tangent to a circle | point of tangency | properties of tangents | central angle DOK 1 4 ID: A 38. ANS: A PTS: 1 DIF: L3 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2 STA: 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 angle DOK: DOK 1 39. ANS: C PTS: 1 DIF: L4 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2 STA: 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 Lines OBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2 STA: 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 Lines OBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2 STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 2 Finding Distance KEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean Theorem DOK: DOK 2 42. ANS: C PTS: 1 DIF: L3 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2 STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 2 Finding Distance KEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean Theorem DOK: DOK 2 43. ANS: C PTS: 1 DIF: L4 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2 STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 2 Finding Distance KEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean Theorem DOK: DOK 2 44. ANS: D PTS: 1 DIF: L4 REF: 12-1 Tangent Lines OBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2 STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 3 Finding a Radius KEY: 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 Lines OBJ: 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2 STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 TOP: 12-1 Problem 3 Finding a Radius KEY: tangent to a circle | point of tangency | properties of tangents | right triangle | Pythagorean Theorem DOK: DOK 2 5 ID: A 46. ANS: OBJ: STA: TOP: KEY: 47. ANS: OBJ: STA: TOP: KEY: 48. ANS: OBJ: STA: TOP: KEY: 49. ANS: OBJ: STA: TOP: KEY: 50. ANS: OBJ: STA: TOP: KEY: DOK: 51. ANS: OBJ: STA: TOP: KEY: DOK: 52. ANS: OBJ: STA: TOP: DOK: 53. ANS: OBJ: STA: TOP: KEY: DOK: A PTS: 1 DIF: L3 REF: 12-1 Tangent Lines 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2 MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-1 Problem 5 Circles Inscribed in Polygons properties of tangents | tangent to a circle | pentagon DOK: DOK 2 A PTS: 1 DIF: L3 REF: 12-1 Tangent Lines 12-1.1 Use properties of a tangent to a circle NAT: CC G.C.2 MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-1 Problem 5 Circles Inscribed in Polygons properties of tangents | tangent to a circle | triangle DOK: DOK 2 A PTS: 1 DIF: L3 REF: 12-2 Chords and Arcs 12-2.2 Use perpendicular bisectors to chords NAT: CC G.C.2 MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-2 Problem 2 Finding the Length of a Chord circle | radius | chord | congruent chords | bisected chords DOK: DOK 1 B PTS: 1 DIF: L3 REF: 12-2 Chords and Arcs 12-2.2 Use perpendicular bisectors to chords NAT: CC G.C.2 MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-2 Problem 2 Finding the Length of a Chord circle | radius | chord | congruent chords | bisected chords DOK: DOK 1 D PTS: 1 DIF: L2 REF: 12-2 Chords and Arcs 12-2.2 Use perpendicular bisectors to chords NAT: CC G.C.2 MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-2 Problem 3 Using Diameters and Chords bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean Theorem DOK 2 D PTS: 1 DIF: L2 REF: 12-2 Chords and Arcs 12-2.2 Use perpendicular bisectors to chords NAT: CC G.C.2 MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-2 Problem 3 Using Diameters and Chords bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean Theorem DOK 2 C PTS: 1 DIF: L2 REF: 12-2 Chords and Arcs 12-2.1 Use congruent chords, arcs, and central angles NAT: CC G.C.2 MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-2 Problem 4 Finding Measures in a Circle KEY: arc | central angle | congruent arcs DOK 1 A PTS: 1 DIF: L3 REF: 12-2 Chords and Arcs 12-2.1 Use congruent chords, arcs, and central angles NAT: CC G.C.2 MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3 12-2 Problem 4 Finding Measures in a Circle circle | radius | chord | congruent chords | right triangle | Pythagorean Theorem DOK 3 6 ID: A 54. ANS: A PTS: 1 DIF: L3 REF: 12-2 Chords and Arcs OBJ: 12-2.1 Use congruent chords, arcs, and central angles NAT: CC G.C.2 STA: 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 Arcs OBJ: 12-2.1 Use congruent chords, arcs, and central angles NAT: CC G.C.2 STA: 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 | diameter DOK: DOK 1 56. ANS: C PTS: 1 DIF: L3 REF: 12-2 Chords and Arcs OBJ: 12-2.2 Use perpendicular bisectors to chords NAT: CC G.C.2 STA: 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 Theorem DOK: DOK 2 57. ANS: B PTS: 1 DIF: L3 REF: 12-3 Inscribed Angles OBJ: 12-3.1 Find the measure of an inscribed angle NAT: CC G.C.2| CC G.C.4 STA: MA.912.G.6.3| MA.912.G.6.4 TOP: 12-3 Problem 1 Using the Inscribed Angle Theorem KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship DOK: DOK 1 58. ANS: C PTS: 1 DIF: L2 REF: 12-3 Inscribed Angles OBJ: 12-3.1 Find the measure of an inscribed angle NAT: CC G.C.2| CC G.C.4 STA: MA.912.G.6.3| MA.912.G.6.4 TOP: 12-3 Problem 1 Using the Inscribed Angle Theorem KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship DOK: DOK 1 59. ANS: B PTS: 1 DIF: L4 REF: 12-3 Inscribed Angles OBJ: 12-3.1 Find the measure of an inscribed angle NAT: CC G.C.2| CC G.C.4 STA: MA.912.G.6.3| MA.912.G.6.4 TOP: 12-3 Problem 1 Using the Inscribed Angle Theorem KEY: circle | inscribed angle | central angle | intercepted arc DOK: DOK 2 60. ANS: D PTS: 1 DIF: L2 REF: 12-3 Inscribed Angles OBJ: 12-3.1 Find the measure of an inscribed angle NAT: CC G.C.2| CC G.C.4 STA: 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 relationship DOK: DOK 1 61. ANS: D PTS: 1 DIF: L3 REF: 12-3 Inscribed Angles OBJ: 12-3.1 Find the measure of an inscribed angle NAT: CC G.C.2| CC G.C.4 STA: 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 relationship DOK: DOK 2 7 ID: A 62. ANS: OBJ: STA: TOP: KEY: DOK: 63. ANS: OBJ: NAT: TOP: KEY: DOK: 64. ANS: OBJ: NAT: TOP: KEY: DOK: 65. ANS: OBJ: NAT: TOP: KEY: DOK: 66. ANS: OBJ: NAT: TOP: KEY: DOK: 67. ANS: REF: OBJ: NAT: TOP: KEY: DOK: 68. ANS: REF: OBJ: NAT: TOP: KEY: DOK: B PTS: 1 DIF: L2 REF: 12-3 Inscribed Angles 12-3.1 Find the measure of an inscribed angle NAT: CC G.C.2| CC G.C.4 MA.912.G.6.3| MA.912.G.6.4 12-3 Problem 2 Using Corollaries to Find Angle Measures circle | inscribed angle | intercepted arc | inscribed angle-arc relationship DOK 1 B PTS: 1 DIF: L3 REF: 12-3 Inscribed Angles 12-3.2 Find the measure of an angle formed by a tangent and a chord CC G.C.2| CC G.C.4 STA: MA.912.G.6.3| MA.912.G.6.4 12-3 Problem 3 Using Arc Measure circle | inscribed angle | tangent-chord angle | intercepted arc DOK 2 B PTS: 1 DIF: L3 REF: 12-3 Inscribed Angles 12-3.2 Find the measure of an angle formed by a tangent and a chord CC G.C.2| CC G.C.4 STA: MA.912.G.6.3| MA.912.G.6.4 12-3 Problem 3 Using Arc Measure circle | inscribed angle | tangent-chord angle | intercepted arc | arc measure | angle measure DOK 2 A PTS: 1 DIF: L3 REF: 12-3 Inscribed Angles 12-3.2 Find the measure of an angle formed by a tangent and a chord CC G.C.2| CC G.C.4 STA: MA.912.G.6.3| MA.912.G.6.4 12-3 Problem 3 Using Arc Measure circle | inscribed angle | tangent-chord angle | intercepted arc | arc measure | angle measure DOK 2 A PTS: 1 DIF: L2 REF: 12-3 Inscribed Angles 12-3.2 Find the measure of an angle formed by a tangent and a chord CC G.C.2| CC G.C.4 STA: MA.912.G.6.3| MA.912.G.6.4 12-3 Problem 3 Using Arc Measure circle | inscribed angle | tangent-chord angle | arc measure | angle measure DOK 1 C PTS: 1 DIF: L3 12-4 Angle Measures and Segment Lengths 12-4.1 Find measures of angles formed by chords, secants, and tangents CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 1 Finding Angle Measures circle | chord | angle measure | arc measure | intersection on the circle | intersection outside the circle DOK 2 A PTS: 1 DIF: L3 12-4 Angle Measures and Segment Lengths 12-4.1 Find measures of angles formed by chords, secants, and tangents CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 1 Finding Angle Measures circle | secant | angle measure | arc measure | intersection outside the circle DOK 1 8 ID: A 69. ANS: REF: OBJ: NAT: TOP: KEY: DOK: 70. ANS: REF: OBJ: NAT: TOP: KEY: DOK: 71. ANS: REF: OBJ: NAT: TOP: KEY: DOK: 72. ANS: REF: OBJ: NAT: TOP: KEY: DOK: 73. ANS: REF: OBJ: NAT: TOP: KEY: DOK: 74. ANS: REF: OBJ: STA: TOP: KEY: DOK: 75. ANS: REF: OBJ: STA: TOP: KEY: A PTS: 1 DIF: L3 12-4 Angle Measures and Segment Lengths 12-4.1 Find measures of angles formed by chords, secants, and tangents CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 1 Finding Angle Measures circle | secant | angle measure | arc measure | intersection inside the circle DOK 1 D PTS: 1 DIF: L3 12-4 Angle Measures and Segment Lengths 12-4.1 Find measures of angles formed by chords, secants, and tangents CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 1 Finding Angle Measures circle | chord | angle measure | arc measure | intersection on the circle | intersection outside the circle DOK 2 A PTS: 1 DIF: L3 12-4 Angle Measures and Segment Lengths 12-4.1 Find measures of angles formed by chords, secants, and tangents CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 2 Finding an Arc Measure circle | angle measure | word problem | arc measure | intersection outside the circle DOK 2 A PTS: 1 DIF: L2 12-4 Angle Measures and Segment Lengths 12-4.1 Find measures of angles formed by chords, secants, and tangents CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 2 Finding an Arc Measure circle | angle measure | word problem | arc measure | intersection outside the circle DOK 2 A PTS: 1 DIF: L4 12-4 Angle Measures and Segment Lengths 12-4.1 Find measures of angles formed by chords, secants, and tangents CC G.C.2 STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 2 Finding an Arc Measure circle | angle measure | word problem | arc measure | intersection outside the circle DOK 2 C PTS: 1 DIF: L4 12-4 Angle Measures and Segment Lengths 12-4.2 Find the lengths of segments associated with circles MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 3 Finding Segment Lengths arc | radius | intersection inside the circle | chord | segment length | word problem DOK 3 D PTS: 1 DIF: L3 12-4 Angle Measures and Segment Lengths 12-4.2 Find the lengths of segments associated with circles MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 3 Finding Segment Lengths circle | chord | intersection inside the circle DOK: DOK 2 9 ID: A 76. ANS: REF: OBJ: STA: TOP: KEY: 77. ANS: REF: OBJ: STA: TOP: KEY: DOK: 78. ANS: REF: OBJ: STA: TOP: KEY: DOK: 79. ANS: REF: OBJ: STA: TOP: KEY: 80. ANS: REF: OBJ: STA: TOP: DOK: 81. ANS: REF: OBJ: STA: TOP: KEY: 82. ANS: REF: OBJ: STA: TOP: KEY: DOK: B PTS: 1 DIF: L3 12-4 Angle Measures and Segment Lengths 12-4.2 Find the lengths of segments associated with circles MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 3 Finding Segment Lengths circle | intersection outside the circle | secant DOK: DOK 2 A PTS: 1 DIF: L4 12-4 Angle Measures and Segment Lengths 12-4.2 Find the lengths of segments associated with circles MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 3 Finding Segment Lengths circle | chord | intersection inside the circle | intersection outside the circle | secant | tangent to a circle DOK 2 A PTS: 1 DIF: L3 12-4 Angle Measures and Segment Lengths 12-4.2 Find the lengths of segments associated with circles MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 3 Finding Segment Lengths circle | intersection outside the circle | secant | tangent | diameter DOK 2 C PTS: 1 DIF: L3 12-4 Angle Measures and Segment Lengths 12-4.2 Find the lengths of segments associated with circles MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4 12-4 Problem 3 Finding Segment Lengths circle | intersection outside the circle | secant | tangent DOK: DOK 2 D PTS: 1 DIF: L3 12-5 Circles in the Coordinate Plane 12-5.1 Write the equation of a circle NAT: CC G.GPE.1 MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7 12-5 Problem 1 Writing the Equation of a Circle KEY: equation of a circle | center | radius DOK 1 A PTS: 1 DIF: L3 12-5 Circles in the Coordinate Plane 12-5.2 Find the center and radius of a circle NAT: CC G.GPE.1 MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7 12-5 Problem 1 Writing the Equation of a Circle center | circle | coordinate plane | radius DOK: DOK 2 D PTS: 1 DIF: L3 12-5 Circles in the Coordinate Plane 12-5.2 Find the center and radius of a circle NAT: CC G.GPE.1 MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7 12-5 Problem 2 Using the Center and a Point on a Circle equation of a circle | center | radius | point on the circle | algebra DOK 2 10 ID: A 83. ANS: REF: OBJ: STA: TOP: KEY: DOK: 84. ANS: REF: OBJ: STA: TOP: KEY: DOK: 85. ANS: OBJ: STA: KEY: A PTS: 1 DIF: L3 12-5 Circles in the Coordinate Plane 12-5.2 Find the center and radius of a circle NAT: CC G.GPE.1 MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7 12-5 Problem 2 Using the Center and a Point on a Circle equation of a circle | center | radius | point on the circle | algebra DOK 2 A PTS: 1 DIF: L3 12-5 Circles in the Coordinate Plane 12-5.2 Find the center and radius of a circle NAT: CC G.GPE.1 MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7 12-5 Problem 3 Graphing a Circle Given Its Equation equation of a circle | center | radius | point on the circle | algebra DOK 2 C PTS: 1 DIF: L4 REF: 12-6 Locus: A Set of Points 12-6.1 Draw and describe a locus NAT: CC G.GMD.4 MA.912.G.8.3 TOP: 12-6 Problem 1 Describing a Locus in a Plane locus | equation of a circle DOK: DOK 2 11