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Inscribed Angles in Circles

Angle with its vertex on a circle and sides that contain chords.

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Inscribed Angles
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Vocabulary

Arc

Arc

An arc is a section of the circumference of a circle.
Intercepts

Intercepts

The intercepts of a curve are the locations where the curve intersects the x and y axes. An x intercept is a point at which the curve intersects the x-axis. A y intercept is a point at which the curve intersects the y-axis.
Inscribed Angle Theorem

Inscribed Angle Theorem

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.
Semicircle Theorem

Semicircle Theorem

The Semicircle Theorem states that any time a right angle is inscribed in a circle, the endpoints of the angle are the endpoints of a diameter and the diameter is the hypotenuse.
Inscribed Angle

Inscribed Angle

An inscribed angle is an angle with its vertex on the circle. The measure of an inscribed angle is half the measure of its intercepted arc.

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