dentify the true statements about chords and circles. If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc. The perpendicular bisector of a chord contains a diameter (or radius) of a circle. Since there are infinitely many chords perpendicular to a given chord on a circle, a given chord on a circle has ma perpendicular bisectors. A given chord on a circle may have a perpendicular bisector that does not contain a diameter of the circle.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 38E
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I have a chords and arcs problem.

Identify the true statements about chords and circles.
If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc.
The perpendicular bisector of a chord contains a diameter (or radius) of a circle.
Since there are infinitely many chords perpendicular to a given chord on a circle, a given chord on a circle has many
perpendicular bisectors.
A given chord on a circle may have a perpendicular bisector that does not contain a diameter of the circle.
Transcribed Image Text:Identify the true statements about chords and circles. If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc. The perpendicular bisector of a chord contains a diameter (or radius) of a circle. Since there are infinitely many chords perpendicular to a given chord on a circle, a given chord on a circle has many perpendicular bisectors. A given chord on a circle may have a perpendicular bisector that does not contain a diameter of the circle.
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