1. 10.3 Inscribed Angles

2. Definitions Inscribed Angle – An angle whose vertex is on a circle and whose sides contain chords of the circle Intercepted Arc – the arc that lies in the interior of an inscribed angle and has endpoints on the angle (arc AB)

3. Theorems 1.If an angle is inscribed in a circle, then its measure is half the measure of the intercepted arc. m < APB = ½ AB m < APB = 60

4. Theorems 2.If two inscribed angles of a circle intercept the same arc, then the angles are congruent. m<DCR = m<RAD

5. Theorems 3.If a right triangle is inscribed in a circle, then the hypotenuse is a diameter of the circle.

6. Last Theorem!!!! 4. A quadrilateral can be inscribed in a circle if and only if its opposite sides are supplementary.

7. Examples 1.Find the measure of arc TR 260 2.Find the m<DIS 21

8. Last Example 3. Find the measure of angle D and angle W

9. Homework P. 617 9-23all