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OB and OT BT AB TS AB and BT T

OB and OT BT AB TS AB and BT T. 8 8n 90 ° RQ, PQ perpendicular. 6. 14. Quadrilateral ABCD. 15 8.0 28. If the center of a circle is (5, -1), find the equation of the line that is tangent to the circle at (12, 3).

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OB and OT BT AB TS AB and BT T

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  1. OB and OT • BT • AB • TS • AB and BT • T

  2. 8 • 8n • 90° • RQ, PQ • perpendicular

  3. 6 14. Quadrilateral ABCD

  4. 15 • 8.0 • 28

  5. If the center of a circle is (5, -1), find the equation of the line that is tangent to the circle at (12, 3). • What is the equation of the circle? (You have to find the length of the radius for this one.)

  6. B. A. X = __________ X = __________ C. If OD=12 and CE=10, find DE. A. 68 B. 70

  7. 90 2. 135 3. 135 4. 225 • 5. 45 6. X=55 7. 20

  8. Find the center of the circle that passes through the points (-8, -8), (0, -4), and (-1, -7). • Find the equation of the same circle The center is (-5, -4)

  9. You are at the very top of a Ferris wheel looking 100 feet down to the ground. If you travel around 10 times, how far have you traveled? Give the exact and approximate distance. • If your ride took 7 minutes, approximately how fast were you going in feet per minute? Miles per hour? 1000 feet or 3141.59 feet 448.799 feet per minute or 5.1 miles per hour

  10. A. • 24 • 14 B.

  11. 30 20 15 90 40 98

  12. A. 75 80 85 B. 56 62 124

  13. 90 105 90 6. 50 100 40

  14. Find the center of the circle that passes through the points (-3, 2), (2, 7), and (5, -2). • Find the equation of the same circle The center is (2, 2)

  15. 2. Addition property of equality 3. Arc addition postualte 5. Division property of equality 6. Inscribed angle conjecture 7. Substitution 1. Arc ZW= Arc XY 4. mZX=mWY

  16. 79 64 30 54

  17. 100 84 270

  18. 40 145 10

  19. 40 45 75 50 35

  20. 40 75 35 58

  21. 90 65 30 30

  22. If the center of a circle is (1, 4), find the equation of the line that is tangent to the circle at (5, 5). • What is the equation of the circle? (You have to find the length of the radius for this one.)

  23. 90 52.5 75 105

  24. 68 60 65 115 95

  25. First, construct the perpendicular bisectors for each side. Where they cross is the circumcenter. The distance from the circumcenter to a vertex is the length of the radius.

  26. First construct the angle bisectors of each angle. Where they intersect will be the incenter. The distance from the incenter to a side is the length of the radius.

  27. First, draw radius PX. The tangent line will be perpendicular to the radius.

  28. 12 12 88 43

  29. 100 98 81

  30. 99 40 30 65 29 43

  31. 4. Chord 5. Secant 6. Radius 7. Tangent 8. Inscribed 9. Major arc 10. AB=BC 11. 90 degrees

  32. 125 235 90 55

  33. 40 180 220 TU

  34. 13

  35. 90 2. 290 3. 55 4. 108 5. 140 6. 20 7a. 105, 75 • 7b. Its opposite angles are supplementary 8. 140 9. 20 • 10a. <IHJ

  36. 132 48

  37. 75 8

  38. 52 132 49 12

  39. 21 50 10

  40. A Diameter RT perp. To SU – given <SAT and <UAT are right – def. of perp. <SAT is congruent to <UAT – right angles are congruent SA is congruent to UA – a line that is perpendicular to a chord and goes through the center of the circle bisects the chord AT is congruent to AT – reflexive property Triangle SAT is congruent to triangle UAT – SAS ST is congruent to TU – CPCTC

  41. 29 A. X = __________ 65 B. X = __________

  42. Find the value of x and y if O is the center of the circle. Y=45 X=22.5

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