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11-3 inscribed angles

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11-3 inscribed angles

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    1. 11-3Inscribed Angles Theorems: Inscribed Angle Theorem, 11-10 Corollaries: Corollaries to the Inscribed Angle Theorem Vocabulary: Inscribed angle, Intercepted arc

    3. Theorem 11-9 (Inscribed Angle Theorem) The measure of an inscribed angle is half the measure of its intercepted arc.

    4. #1 Using the Inscribed Angle Theorem

    5. Corollaries to the Inscribed Angle Theorem Two inscribed angles that intercept the same arc are congruent. An angle inscribed in a semicircle is a right angle. The opposite angles of a quadrilateral inscribed in a circle are supplementary.

    6. #2 Using Corollaries to Find Angle Theorem Find the diagram at the right, find the measure of each numbered angle.

    7. Theorem 11-10 The measure of an angle formed by a tangent and a chord is half the measure of the intercepted arc.

    8. #3 Using Theorem 11-10 Find x and y.

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