1. 10-4: Inscribed Angles

2. Inscribed angles:
An the vertex of an inscribed angle is located on a circle.
The arc formed by the legs of the angle is called the intercepted arc.

3. Alligator Theorems
If the alligator is in the center of the circle, he can eat all of the birds.
m<B=mAC
If the alligator is on the edge of the circle, he can only eat half of the birds.
m<E= ½ mDF

4. Find the measure of each indicated arc.
EX 1: Find mFH EX2: Find mJK EX 3: Find mMO

5. Find the measure of each angle.
mAB=140
mBC=100
mAD=mDC

6. Theorems:
If two inscribed angles are congruent, then their intercepted arcs are_____________.
If an inscribed angle intercepts a semicircle, then it is a ___________ angle.
If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary.

7. Find x and y

8. FH=20 and is a diameter of circle E.
Find m<F
Find m<G
Find m<H
Find GH
Find FG

9. Assignment Regular: p. 549 + 550; 8, 10, 13-16, 22-27
Honors: p ; 8, 10, 13-16, 22-29