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Classifying Angles with Circles Case 1: Vertex is on the circle. a. b.

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Presentation on theme: "Classifying Angles with Circles Case 1: Vertex is on the circle. a. b."— Presentation transcript:

1 Classifying Angles with Circles Case 1: Vertex is on the circle. a. b.

2 Classifying Angles with Circles Case 2: Vertex is inside the circle.

3 Classifying Angles with Circles Case 3: Vertex is outside the circle. a. b.

4 c.

5 Theorem If a tangent and a secant (or a chord) intersect ON a circle at the point of tangency, then the measure of the angle formed is one half the measure of its intercepted arc.

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7 Theorem The measure of an angle formed by two secants or chords that intersect in the INTERIOR of a circle is one-half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

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9 Theorem The measure of an angle formed by two secants intersecting in the EXTERIOR of a circle is one-half the difference of the measures of the intercepted arcs.

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