10-4 Inscribed Angles

# 10-4 Inscribed Angles - A B C D ABC ADC 2245 Theorem 10.7...

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Inscribed Angles Section 10-4

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inscribed angle – an angle whose vertex is on the circle and whose sides each contain chords of the circle. ADC is an inscribed arc. A B C D . angle inscribed an is ABC
Inscribed Angle Thm (10.5) If an angle is inscribed in a circle, then the measure of the angle equals ½ the measure of its intercepted arc. 70 o 140 o

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Theorem 10.6 If 2 inscribed angles of a circle or congruent circles intercept congruent arcs or the same arc, then the angles are congruent.

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Unformatted text preview: A B C D ABC ADC 2245 Theorem 10.7 If an inscribed angle of a circle intercepts a semicircle, then the angle is a right angle. 180 o Theorem 10.8 If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary. 60 o 120 o Joke Time What do you get if you take a native Alaskan and divide its circumference by its diameter? Eskimo pi Why did Humpty Dumpty have a great fall? To make up for his miserable summer...
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## 10-4 Inscribed Angles - A B C D ABC ADC 2245 Theorem 10.7...

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