Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 301: 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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