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6.5 Apply other Angle Relationships in Circles

6.5 Apply other Angle Relationships in Circles. 6.5-6.6 Quiz: MONDAY! 6.7-6.8 Quiz: Nov. 19 6.5-6.8 Test: Nov. 30 Performance Exam: Dec. 2. Vocabulary. Theorem 6.13

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6.5 Apply other Angle Relationships in Circles

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  1. 6.5Apply other Angle Relationships in Circles 6.5-6.6 Quiz: MONDAY! 6.7-6.8 Quiz: Nov. 196.5-6.8 Test: Nov. 30Performance Exam: Dec. 2

  2. Vocabulary • Theorem 6.13 • If a tangent and a chord intersect at a point on the circle, then the measure of each angle formed is one half the measure of its intercepted arc.

  3. Example: • Line m is tangent to the circle. Find the indicated measure. 1) angle 1 2) arc EFD

  4. Vocabulary • Angles Inside the Circle • If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the arc intercepted by the angle and its vertical angle.

  5. Example: • Find the value of x.

  6. Vocabulary • Angles Outside the Circle • If a tangent and a secant, two tangents, or two secants intersect outside a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arcs.

  7. Example: • Find the value of x.

  8. Circle Organizer

  9. You Try: • Find the measure of arc ACB • Find the value of y.

  10. Classwork/Homework • P. 214-215 #1-17odd

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