1. Chapter 10 Jeopardy By: Ryan Gorman, Matt Margulies, Rishab Lal, and Gabe Shindnes

2. 10.110.210.310.410.510.610.7 100 200 300 400 500 300 200 100 500 400 300 200 100 500 100 300 200 400 300 200 100 300 500 400 200 100 500 400 300 200 100 500 400 FINAL JEOPARDY!

4. FINAL JEOPARDY! Question How many licks does it take to get to the center of a tootsie pop?

5. 4 FINAL JEOPARDY! Answer

6. 10.7 100 Write the standard equation of a circle with center (0,-9) and radius 4.2.

7. x² + (y + 9) = 17.64

8. 10.7 200 The standard equation of a circle can be written for any circle with know ____ and ____.

9. Center, Radius

10. 10.7 300 Determine whether the given equation defines a circle. If the equation defines a circle, rewrite the equation in standard form: x² + y² - 6y + 9 = 4

11. Circle; x² + (y – 3)² = 4

12. 10.7 400 Use the given equation of a circle and a line to determine whether the line is a tangent, secant, secant that contains a diameter, or none of these: Circle: (x - 4)² + (y - 3)² = 9 Line: y = -3x + 6

13. Secant

14. 10.7 500 The diameter of a CD is about 4.8 inches. The diameter of the hole in the center is about 0.6 inches. You place a CD on the coordinate plane with center at (0,0). Write the equations for the outside edge of the disc and edge of the hole in the center.

15. x² + y² = 5.76 x² + y² = 0.09

16. 10.6 400 A perpendicular bisector passes through the center and bisects a chord. The length of the diameter is 2 and 2x+6, and the chord is bisected with an x length and another x length, what is the value of x?

17. 10.4 400 X=6

18. 10.6 500 If chord AB intersects chord CD at point E inside the circle and AE has a length of x+2, BE has a length of x+1, CE has a length of x+4, and DE has a length of x, what is the value of x?

19. 10.6 500 2

20. 10.6 300 If a tangent meets point E and a secant meets at point E, what is the relationship of the tangent in secant?

21. 10.6 300 EA²=EC x ED

22. 10.6 200 If secant AB and secant CD meet at point E outside the circle and EA has a length of 3, EC has a length of 4, AB has a length of 8, what is the length of CD?

23. 10.6 200 6

24. 10.6 100 If chord AB intersects chord CD at point E inside the circle and AE has a length of 6, BE has a length of 7, CE has a length of 10, what is the length of DE?

25. 10.6 100 4.2

26. 10.5 500 You’re flying on a plane 1.2 miles above the ground. Figure out the measure of the arc that represents the part of Earth that you can see.

27. 10.5 500 About 2.8°

28. 10.5 400 Circle EFG is inscribed in Triangle PQR. If angle Q is 60°, angle P is 40°, and angle R is 80°, what is the measure of arc EG, FG, and GE?

29. 10.5 400 120°,100°,and 140°

30. 10.5 300 If tangent AB and secant CD meet at A and arc AC is 40° and arc AD is 70°, what is the measure of angle BAC?

31. 10.5 300 55°

32. 10.5 200 In a circle chords AB and CD intersect at point E. If arc AB is 40° and CD is 90°, then what is the angle of AEB?

33. 10.5 200 65°

34. 10.5 100 In circle A chord BC meets at tangent DE. If angle BCD is 40°, what is the measure of arc BC?

35. 10.5 100 80°

36. 10.4 500 If central angle ADC is 60° then what is the measure of inscribed angle ABC?

37. 30°

38. 10.4 400 If inscribed angle EFG is (8x+10)° and arc EG is (12x+40)° then what is x?

39. 5

40. 10.4 300 If quadrilateral EFGH is inscribed in circle Z and angle E is 73° then what is the measure of angle G?

41. 107

42. 10.4 200 If there is a right triangle inscribed in a circle then the hypotenuse is the ________ of the circle.

43. Diameter

44. 10.4 100 If the inscribed angle ABC is 63° then what is the measure of arc AB?

45. 126

46. 10.3 500 If AB and DC are equidistant to the center of circle E and AB is 3x²-9 and DC is 3x+9 what is x?

47. -2

48. 10.3 400 If chord AB and chord CB are congruent and arc AC is 130° then what are the measure of arc AB and arc CB?

49. AB and BC both are 115°

50. 10.3 300 If chord DE and chord BA are equidistant to the center of circle C and arc BA is 135° then what is the measure of arc DE?

51. 135°

52. 10.3 200 If the diameter is perpendicular to a chord then what does it do to the length of the arc and chord?

53. It cuts the length of the arc and chord in half( it bisects the arc and chord)

54. 10.3 100 What is the relationship between the arcs of two congruent chords?

55. They are congruent

56. Double Jeopardy On a clock with hour and minute hands set to 1 pm, at what time before 2 pm to the nearest minute will the hour and the minute hands form a diameter?

57. 10.2 Double Jeopardy 1:38pm

58. 10.2 400 Circle P has a radius of 3 and arc AB has a measure of 90°, what is the length of line segment AB?

59. 3√2

60. 10.2 300 If arc AB is 83° and arc BC is 81°, what is the length of arc ABC?

61. 164°

62. 10.2 200 If angle ACB and angle DCE are congruent central angles of circle C, then arc AB and arc DE are _________?

63. Congruent

64. 10.2 100 What is the definition of a minor and major arc?

65. Minor arc: An arc that is less than 180° Major arc: An arc that is greater than 180°

66. 10.1 500 If two tangent segments from the same point have a length of 4x – 1 and 3x ² + 4x -4, what is the value of x?

67. 1

68. 10.1 400 What is the relationship between a tangent and a radius?

69. They are perpendicular

70. 10.1 300 If two tangent segments from the same point have a length of 28 and of 3x + 4, what is the value of x?

71. 8

72. 10.1 200 What is the relationship between tangents from a common external point?

73. They are congruent

74. 10.1 100 What is line DE?

75. Tangent