10.4 Vocabulary inscribed angle intercepted arc subtend

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Presentation transcript:

10.4 Vocabulary inscribed angle intercepted arc subtend An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the circle. An intercepted arc consists of endpoints that lie on the sides of an inscribed angle and all the points of the circle between them. A chord or arc subtends an angle if its endpoints lie on the sides of the angle.

Is there another angle that “intercepts” AB

Theorem 10.10

Example 1: Finding Measures of Intercepted Arcs and Inscribed Angles Find each measure. mPRU Find each measure. mSP

Example 3 N Find mDNE. Given mDG = 100

Example 4: Finding Angle Measures in Inscribed Quadrilaterals 1. Find the angle measures of GHJK. 2. Find m JKG

Lesson Quiz: Part I Find each measure. 1. RUS 2. a

Lesson Quiz: Part II 3. Find the angle measures of ABCD.