Bellwork

1. Bellwork • If circle G has a radius of 6, what is the measure of GH? • Bonus: What is the measure of EH?

2. Homework Check • 18) 42 • 19) 6.71 • 21) 98.3 ft • 22) 8 • 7) 21 • 9) 127 • 11) 7 • 13) 27 • 15) 122.5

3. Inscribed Angles • Miss Pahls • 4/2/14

4. Inscribed Angles • Vertex on the circle • Sides are Chords across the circle

5. Intercepted Arc • The intercepted arc lies on the inside of an inscribed angle. • In this case: Arc SQ

6. Three Flavors:

7. Three Flavors:

8. Three Flavors:

9. Inscribed Angle Theorem • If an angle is inscribed in a circle, then the measure of the angle equals one half the measure of its intercepted arc.

10. Lets Try: m∠P, mPO

11. With your partner: • Please find: • mCF • m∠C

12. Congruency Theorem • If two inscribed angles of a circle intercept the same arc or congruent arcs, then the angles are congruent.

13. Lets Try it: m∠S

14. With your group: m∠T

15. Lets close with a proof: