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: 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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