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Module 19: Lesson 5 Angle Relationships in Circles

Intersecting Chords Angle Measure Theorem. Module 19: Lesson 5 Angle Relationships in Circles. If 2 chords intersect inside a circle, then the measure of each angle formed is half the sum of the measures of its intercepted arcs. B. A. 1. 2. See Your Turn #4 & #5 page 1057. E. D.

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Module 19: Lesson 5 Angle Relationships in Circles

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  1. Intersecting Chords Angle Measure Theorem Module 19: Lesson 5Angle Relationships in Circles If 2 chords intersect inside a circle, then the measure of each angle formed is half the sum of the measures of its intercepted arcs. B A 1 2 See Your Turn #4 & #5 page 1057 E D

  2. Tangent-Secant Interior Angle Measure Theorem If a tangent and a secant (or chord) intersect on a circle at the point of tangency, the measure of the angle formed is half the measure of its intercepted arc. C B E A See example 2 page 1058

  3. Tangent-Secant Exterior AngleMeasure Theorem If a tangent and a secant, 2 tangents, or 2 secants intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs. A See #8 page 1059 B C D

  4. A See Example 3B page 1059 B C D

  5. See Example 3A page 1059 A D B E C

  6. Homework pages 1062-1067 #’s 3-16 (all), 19, 20

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