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 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 310: 5

Answer

CD$\lt$AB

Work Step by Step

The measure of a central angle is proportional to the length of the chord that connects the endpoints of its intercepted arc. Therefore since angle CQD is less than angle AQB, CD must be less than AB.
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