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

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

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

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

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

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CONCEPT

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

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B. Use Intersecting Secants and Tangents Answer:

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A.98 B.108 C D A. Find m FGI.

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

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CONCEPT

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Use Tangents and Secants that Intersect Outside a Circle A.

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Use Tangents and Secants that Intersect Outside a Circle B.

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

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

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EXAMPLE 4 Apply Properties of Intersecting Secants

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CONCEPT

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

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

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CONCEPT

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Use the Intersection of Two Secants Find x.

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

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

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