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Geometry 11.4 Notes Name ______________________ Block ___________ Define inscribed angle: Define intercepted arc: Define subtends: Draw an inscribed angle and label it ABC. Highlight the intercepted arc. What is the name of the intercepted arc formed by ABC? Theorem 11.4-1 The ______________ of an _____________ angle is _______________ the measure of its ___________________ arc. Find the measure of each of the following variables. Looking at the circle to the right, answer the following questions: a. What arc does A intercept? b. What arc does B intercept? c. What arc does C intercept? d. If all the angles intercept the same arc, what can you conclude about the measures of the angles? Corollary 11.4-2 If ___________________ angles of a _____________ intercept the ___________ arc, then the ____________ are _______________. Find the measure of each variable. Describe what it means for a polygon to be inscribed in a circle. Theorem 11.4-4 A _______________________ can be inscribed in a ____________ if and only if its _______________________ angles are ______________________. Find the value of each variable.