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CHAPTER 10.6 AND 10.7 SECANTS, TANGENTS, AND ANGLE MEASURES AND SPECIAL SEGMENTS IN A CIRCLE.

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Presentation on theme: "CHAPTER 10.6 AND 10.7 SECANTS, TANGENTS, AND ANGLE MEASURES AND SPECIAL SEGMENTS IN A CIRCLE."— Presentation transcript:

1 CHAPTER 10.6 AND 10.7 SECANTS, TANGENTS, AND ANGLE MEASURES AND SPECIAL SEGMENTS IN A CIRCLE

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

3 CONCEPT

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

5 Use Intersecting Chords or Secants B. Find x.

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

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

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

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

10 CONCEPT

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

12 B. Use Intersecting Secants and Tangents Answer:

13 A.98 B.108 C D A. Find m  FGI.

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

15 CONCEPT

16 Use Tangents and Secants that Intersect Outside a Circle A.

17 Use Tangents and Secants that Intersect Outside a Circle B.

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

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

20 EXAMPLE 4 Apply Properties of Intersecting Secants

21 CONCEPT

22 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.12 B.14 C.16 D.18 A. Find x.

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

27 CONCEPT

28 Use the Intersection of Two Secants Find x.

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

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 A B.25 C.28 D.30 Find x. Assume that segments that appear to be tangent are tangent.


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