1. 11.4 Inscribed Angles
Geometry

2. Definitions:
Inscribed Angle- Angle whose vertex is on a circle and whose sides contain chords of the circle.
Intercepted Arc- consists of endpoints that lie on the sides of an inscribed angle and all of the points of the circle between them.
Subtends- A segment or arc subtends an angle if endpoints lie on the sides of the angle

3. Diagram:

4. Inscribed Angle Theorem

5. Examples:
Find each measure.
mPRU
mSP

6. Example:
Find each measure.
mDAE

7. Corollary (Easily proven theorem)

8. Examples:
Find mEDF.

9. Example:
Find mLJM.

10. Example:
Find mABD and mBC in the string art.

11. Theorem

12. Example:
Find a.

13. Example:
Find z.

14. Example:
Find each measurement.
RUS a

15. Theorem

16. Example:
Find the angle measures of GHJK.

17. Example:
Find the angle measures of JKLM.

18. Example:
Find the angle measures of ABCD.