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9.6: Inscribed Quadrilaterals in Circles

Difficulty Level: At Grade Created by: CK-12
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Vocabulary

central angle

An angle formed by two radii and whose vertex is at the center of the circle.

chord

A line segment whose endpoints are on a circle.

diameter

A chord that passes through the center of the circle. The length of a diameter is two times the length of a radius.

inscribed angle

An angle with its vertex on the circle and whose sides are chords.

intercepted arc

The arc that is inside an inscribed angle and whose endpoints are on the angle.

Inscribed Polygon

An inscribed polygon is a polygon with every vertex on a given circle.

Inscribed Quadrilateral Theorem

The Inscribed Quadrilateral Theorem states that a quadrilateral can be inscribed in a circle if and only if the opposite angles of the quadrilateral are supplementary.

Cyclic Quadrilaterals

A cyclic quadrilateral is a quadrilateral that can be inscribed in a circle.

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Difficulty Level:
At Grade
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Date Created:
Jul 17, 2012
Last Modified:
Oct 06, 2016
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MAT.GEO.744.L.2