1. Geometry 10.4 Inscribed Angles

2. Vocabulary Inscribed Angle Intercepted Arc B A C

3. Theorem 10.6 (Inscribed Angle Theorem) The measure of an inscribed angle is half the measure of its intercepted arc. C B A

4. #1 Using the Inscribed Angle Theorem P Q R S T bobo aoao 30 o 60 o 60 o

5. 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.

6. #2 Using Corollaries to Find Angle Theorem 60 o 80 o 1 2 3 4 Find the diagram at the right, find the measure of each numbered angle. 120 o 100 o

7. Assignment Page 713: 1-29 odds