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9-5 Inscribed Angles.

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Presentation on theme: "9-5 Inscribed Angles."— Presentation transcript:

1 9-5 Inscribed Angles

2 Inscribed angles -- An angle whose vertex is on a circle and whose sides contain chords of the circle.

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4 Measures of inscribed angles
Theorem: The measure of an inscribed angle is equal to half the measure of its intercepted arc.

5 Examples

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7 Corollary If 2 inscribed angles intercept the same arc, then the angles are congruent.

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9 Corollary An angle inscribed in a semicircle is a right angle.

10 Corollary If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary.

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12 How do you find the measure of angle 1
How do you find the measure of angle 1? Is that true for wherever B goes?

13 Theorem The measure of an angle formed by a chord and a tangent is equal to half the measure of the intercepted arc.

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