Theorems related to Chords, Arcs, Central and Inscribed Angles

If a radius of a circle bisects a chord on the same circle, then the radius and the chord are perpendicular.

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​A. Bisected Chord Theorem

B. Semicircle Theorem

​C. Congruent Chords Theorem

​D. Inscribed Angle Theorem

​E. Intersecting Chords Theorem

​F. Angles of Intersecting Chords Theorem

If two chords of a circle are congruent, then their apothems and intercepted arcs are also congruent.

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​A. Bisected Chord Theorem

B. Semicircle Theorem

​C. Congruent Chords Theorem

​D. Inscribed Angle Theorem

​E. Intersecting Chords Theorem

​F. Angles of Intersecting Chords Theorem

It states that the measure of an inscribed angle is always half the measure of its intercepted arc or the central angle.

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​A. Bisected Chord Theorem

B. Semicircle Theorem

​C. Congruent Chords Theorem

​D. Inscribed Angle Theorem

​E. Intersecting Chords Theorem

​F. Angles of Intersecting Chords Theorem

It states that if an inscribed angle intercepts a semicircle, then it is a right angle.

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​A. Bisected Chord Theorem

B. Semicircle Theorem

​C. Congruent Chords Theorem

​D. Inscribed Angle Theorem

​E. Intersecting Chords Theorem

​F. Angles of Intersecting Chords Theorem

It states that if two chords of the same circle intersect, then the products of their segments are equal.

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​A. Bisected Chord Theorem

B. Semicircle Theorem

​C. Congruent Chords Theorem

​D. Inscribed Angle Theorem

​E. Intersecting Chords Theorem

​F. Angles of Intersecting Chords Theorem

It states the measure of the angle formed is half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

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​A. Bisected Chord Theorem

B. Semicircle Theorem

​C. Congruent Chords Theorem

​D. Inscribed Angle Theorem

​E. Intersecting Chords Theorem

​F. Angles of Intersecting Chords Theorem