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**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

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

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Concept

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**Use Intersecting Chords or Secants**

A. Find x. Answer: x = 82

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**Use Intersecting Chords or Secants**

B. Find x.

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**Use Intersecting Chords or Secants**

C. Find x. Answer: x = 95

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

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

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

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Concept

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**A. Find mQPS. Answer: mQPS = 125**

Use Intersecting Secants and Tangents A. Find mQPS. Answer: mQPS = 125

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**Use Intersecting Secants and Tangents**

B. Answer:

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A. Find mFGI. A. 98 B. 108 C D

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

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Concept

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**Use Tangents and Secants that Intersect Outside a Circle**

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**Use Tangents and Secants that Intersect Outside a Circle**

B.

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

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

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Example 4 Apply Properties of Intersecting Secants

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Concept

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

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**Use the Intersection of Two Chords**

A. Find x.

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

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

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

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Concept

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**Use the Intersection of Two Secants**

Find x.

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

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Concept

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

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**Find x. Assume that segments that appear to be tangent are tangent.**

C. 28 D. 30

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