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6.5 Apply other Angle Relationships in Circles

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Presentation on theme: "6.5 Apply other Angle Relationships in Circles"— Presentation transcript:

1 6.5 Apply other Angle Relationships in Circles
Quiz: MONDAY! Quiz: Nov Test: Nov. 30 Performance 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 ) 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 #1-17odd


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