Students learn the definition of an inscribed angle, and that the measure of an inscribed angle is equal to Â½ the measure of its intercepted arc. Students also learn the following theorems related to inscribed angles. If two inscribed angles intercept the same arc, then the angles are congruent. An angle inscribed in a semicircle is a right angle. If a quadrilateral is inscribed in a semicircle, then opposite angles are supplementary. The measure of an angle formed by a chord and its tangent is half the measure of the intercepted arc. Students are then asked to find the missing measures of arcs and angles in given circles using these theorems.
Inscribed Angles - YourTeacher.com - Geometry Help is a free educational video by yourteachermathhelp.It helps students in grades 9,10,11,12 practice the following standards HSG.C.A.2.
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1. HSG.C.A.2 : Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
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