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Chapter Eleven: |
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Geometry Notes Chapter 11 Section
11.1
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Take notes on the following topics.
Section 11.3 Inscribed Angles Vocabulary Inscribed angle (p. 598) An angle is inscribed in a circle if the vertex of the angle is on the circle and the sides of the angle are chords of the circle. Intercepted arc (p. 598) An intercepted arc is an arc of a circle having endpoints on the sides of an inscribed angle, and its other points in the interior of the angle. Theorem 11-9
The measure of an inscribed angle is half
the measure of its intercepted arc.
Corollaries to the Inscribed Angle Theorem (1) Two inscribed angles that intercept the same arc are congruent. (2) An angle inscribed in a semicircle is a right angle. (3) The opposite angles of a quadrilateral inscribed in a circle are supplementary. Theorem 11-10
The measure of an angle formed by a
tangent and a chord is half the measure of the intercepted arc.
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