Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 6 - Section 6.1 - Circles and Related Segments and Angles - Exercises - Page 286: 23e


We know that when the central angles are congruent, the chords corresponding to them are congruent as well.

Work Step by Step

The best way to prove this problem is to use what we found in the previous parts of this problem. In part b, we found that congruent central angles have congruent arcs. In part d, we found that congruent arcs have congruent chords. Thus, by the transitive property, it follows that congruent central angles have congruent chords.
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