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12-4 Day 1: inscribed Angles

An angle ON the circle is 1/2 the intercepted arc.

Inscribed is when the vertex is on the arc.

12-4 Day 2

Corollary 1: 2 inscribed angles that intercept the same arc are congruent.

Corollary 2: An angle inscribed in a semicircle is a right angle.

Corollary 3: Opposite angles of a quadrilateral inscribed in a circle are supplementary.

Chord: 2 endpoints on the chord.

Problem 1-1

If an angle is on the circle, how much of the intercepted arc is it?