1. Circle
Jeopardy

2. Secants & Chords
Angles
Tangents
Grab Bag
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3. In the accompanying diagram of circle O, and . Find the value of x.

4. x=20

5. Given the circle below with diameter , find x.

6. x=90°

7. Given a circle with the center indicated, find x.

8. x=40

9. True or False: In the same circle, or congruent circles, congruent central angles have congruent arcs.

10. True

11. Given two secants shown in the diagram, find the number of degrees in the angle labeled x.

12. x=60°

13. In the diagram, the segments shown are tangent to the circle
In the diagram, the segments shown are tangent to the circle. Find the value of x.

14. x=5

15. In the diagram, tangent and secant are drawn to circle O from point A, AB=6 and AC=4. Find AD.

16. AD=9

17. How many common tangents can be drawn for two externally tangent circles?

18. 3 tangents

19. Given tangent to the circle shown
Given tangent to the circle shown. Find the measure of the arc designated by x.

20. 260

21. Given the circle shown with two tangents to the circle from a common external point. Find the measure of the angle marked x.

22. 80

23. Given the circle in the diagram with two intersecting chords
Given the circle in the diagram with two intersecting chords. Find the length x.

24. x=8

25. In the diagram, secant intersects circle O at D, secant intersects circle O at E, AE=4, AC=24 and AB=16. Find AD.

26. AD=6

27. Given a circle with two secants as shown in the diagram
Given a circle with two secants as shown in the diagram. Find the value of the arc designated by x.

28. x=25

29. In the given diagram of the circle below with radius 5
In the given diagram of the circle below with radius 5. Find the length of the segment labeled x.

30. x=4

31. Given: Tangent , diameter. , and secant in circle O
Given: Tangent , diameter , and secant in circle O. What two sets of congruent angles can be used to prove ?

32. and

33. Given: Circle O with diameter , and . Find .

35. Given the circle in the diagram with the indicated center
Given the circle in the diagram with the indicated center. Find the measure of the arc marked x.

36. x=55

37. Given: in circle O. Which method can be used to prove that ?

38. SSS Postulate SAS Postulate ASA Postulate

39. A cathedral window is built in the shape of a semi circle
A cathedral window is built in the shape of a semi circle. If the window is to contain 3 stained glass sections of equal size, what is the area of each section to the nearest square foot?

40. 3 ft2

41. Two chords intersect within a circle to form an angle whose measure is 53°. If the intercepted arcs are given by 3x+3 and 10x-14, find the measure of the larger arc.

42. 76°