Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 6 - Section 6.1 - Circles and Related Segments and Angles - Exercises: 23d

Answer

We know that when arcs are congruent, their corresponding chords are congruent as well.

Work Step by Step

Consider an arc an its corresponding chord in a given location. Since a circle is symmetric, we can rotate the arc and the chord around the circle without changing anything. Therefore, we find that as long as the length of the arc remains the same, the length of the chord remains the same, meaning that when arcs are congruent, their corresponding chords are congruent as well.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.