1. 11.4 Inscribed Angles

2. New Vocab: Inscribed Angle and Intercepted Arc

3. Notice anything cool? 1.Draw a diameter. 2.Put 3 more points anywhere on the circle. 3.Make triangles. What is the measure of all the inscribed angles when they are connected to a diameter? ______

4. Measure of an Inscribed Angle The measure of an inscribed angle is ____ the measure of its intercepted arc.

5. Theorem If two inscribed angles of a circle intercept the same arc, then the angles are _____.

6. Theorem A quad that is inscribed in a circle (called a “cyclic quad”) has opposite angles that are ___________________.

7. Examples: Find the variable values

8. Tangent-Chord If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is __________ the measure of its intercepted arc. If <1=60 ⁰, then arc AB=______ (different problem) If arc ACB=256⁰, then <2=_______.

9. Put it all together…