6.5 Apply other Angle Relationships in Circles

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# 6.5 Apply other Angle Relationships in Circles - PowerPoint PPT Presentation

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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### 6.5Apply 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

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.
Example:
• Line m is tangent to the circle. Find the indicated measure.

1) angle 1 2) arc EFD

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.
Example:
• Find the value of x.
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.
Example:
• Find the value of x.
You Try:
• Find the measure of arc ACB
• Find the value of y.
Classwork/Homework
• P. 214-215 #1-17odd