1. Secants, Tangents, and Angle Measures and Special Segments in a Circle
Chapter 10.6 and 10.7
Secants, Tangents, and Angle Measures and
Special Segments in a Circle

2. Secant
A secant is a line that intersects a circle in exactly two points.

3. Concept

4. Use Intersecting Chords or Secants
A. Find x.
Answer: x = 82

5. Use Intersecting Chords or Secants
B. Find x.

6. Use Intersecting Chords or Secants
C. Find x.
Answer: x = 95

7. B. Find x.
A. 92
B. 95
C. 97
D. 102

8. C. Find x.
A. 96
B. 99
C. 101
D. 104

9. A. Find x.
A. 92
B. 95
C. 98
D. 104

10. Concept

11. A. Find mQPS. Answer: mQPS = 125
Use Intersecting Secants and Tangents
A. Find mQPS.
Answer: mQPS = 125

12. Use Intersecting Secants and TangentsB.
Answer:

13. A. Find mFGI.
A. 98
B. 108 C D

14. B.
A. 99 B
C. 162
D. 198

15. Concept

16. Use Tangents and Secants that Intersect Outside a Circle

17. Use Tangents and Secants that Intersect Outside a CircleB.

18. A.
A. 23
B. 26
C. 29
D. 32

19. B.
A. 194
B. 202
C. 210
D. 230

20. Example 4
Apply Properties of Intersecting Secants

21. Concept

22. Concept
When two chords intersect inside a circle, each chord is divided into two segments, called chord segments.

23. Use the Intersection of Two Chords
A. Find x.

24. Example 1
Use the Intersection of Two Chords
B. Find x.

25. A. Find x.
A. 12
B. 14
C. 16
D. 18

26. Example 1
B. Find x.
A. 2
B. 4
C. 6
D. 8

27. Concept

28. Use the Intersection of Two Secants
Find x.

29. Find x.
Needs to be changed! A
B. 50
C. 26
D. 28

30. Concept

31. Example 4
Use the Intersection of a Secant and a Tangent
LM is tangent to the circle. Find x. Round to the nearest tenth.

32. Find x. Assume that segments that appear to be tangent are tangent.
C. 28
D. 30