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: 6

Answer

QM$\lt$QN

Work Step by Step

The longer the chord, the shorter the distance it is from the center of the circle. Since chord CD is shorter than chord AB, it must be farther away. Therefore QM is shorter than QN.
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