1. Please get your warm up off the back table The Bigger Circle Puzzle

2. Today’s agenda ● Warm up ●Folders/progress reports ●Grade homework ●Lecture/notes ●Work time

3. Inscribed Angle An angle whose vertex is on a circle and whose sides are chords of the circle. A C V P Inscribed Angle Theorem The measure of an inscribed angle is ½ the measure of the intercepted arc. Measure of arc AC = 80° m  AVC = ?? 40°  AVC is an inscribed angle

4. Right Angle Corollary If a side of an inscribed triangle is a diameter, then the opposite angle is a right angle. The intercepted arc (major arc ADC) is 180° so  B has to be ½ that, which is 90° C A B D

5. Arc Intercept Corollary If 2 inscribed angles intercept the same arc, they have the same measure. A C B D X m  A = m  X Measure of arc CB = measure of arc CB

6. Your assignment ♥Pg 585; 11-32