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Inscribed Angles and Arcs

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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  1. Inscribed Angles and Arcs • An inscribed angle is an angle whose vertex lies on a circle and whose sides are chords of the circle.

  2. Inscribed Angle Theorem • The measure of an angle inscribed in a circle is equal to half the measure of the intercepted arc.

  3. Right Angle Corollary • If an inscribed angle intercepts a semicircle, then the angle is a right angle.

  4. Arc-Intercept Corollary • If two inscribed angles intercept the same arc, then they have the same measure.

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