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6.5 Apply other Angle Relationships in Circles
Quiz: MONDAY! Quiz: Nov Test: Nov. 30 Performance Exam: Dec. 2
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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.
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Example: Line m is tangent to the circle. Find the indicated measure.
1) angle ) arc EFD
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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.
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Example: Find the value of x.
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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.
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Example: Find the value of x.
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Circle Organizer
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You Try: Find the measure of arc ACB Find the value of y.
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Classwork/Homework P #1-17odd
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