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Inscribed Angles Chapter 12 Section 3 Inscribed Angle A circle whose vertex is on the circle and both and whose sides are chords of the circle. Intercepted Arc An arc with endpoints on the sides of an inscribed angle and its other points in the interior of the angle. Inscribed Angle Theorem Theorem 12-11 The measure of an inscribed angle is half the measure of its inscribed arc. Turn to Page 781... Look at Example 1 Try the got it problem for this example. Corollaries to Theorem 12-11 Two inscribed angles that intersect the same arc are congruent. An angle inscribed in a semicircle is a right angle The opposite angles of a quadrilateral inscribed in a circle are supplementary Turn to Page 782... Look at Problem 2 Try the Got it for this example. Inscribed Angles Theorem 12-12 The measure of an angle formed by a tangent and a chord is half the measure of the intercepted arc. Turn to Page 783... Look at Problem 3 Try the Got it problem for that example. On page 784... Try Problems #1-5 on your own. Raise your hand when you are finished.