10-4: Inscribed Angles.

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By: Justin Mitchell and Daniel Harrast. Inscribed angle- an angle whose vertex is on a circle and whose sides contain chords of the circle. Intercepted.

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Presentation transcript:

10-4: Inscribed Angles

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.

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

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

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

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.

Find x and y

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

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