Inscribed Angles and Arcs

Jul 31, 2014

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Inscribed Angles and Arcs. An inscribed angle is an angle whose vertex lies on a circle and whose sides are chords of the circle. Inscribed Angle Theorem. The measure of an angle inscribed in a circle is equal to half the measure of the intercepted arc. Right Angle Corollary.

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Inscribed Angles and Arcs

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Inscribed Angles and Arcs • An inscribed angle is an angle whose vertex lies on a circle and whose sides are chords of the circle.
Inscribed Angle Theorem • The measure of an angle inscribed in a circle is equal to half the measure of the intercepted arc.
Right Angle Corollary • If an inscribed angle intercepts a semicircle, then the angle is a right angle.
Arc-Intercept Corollary • If two inscribed angles intercept the same arc, then they have the same measure.