Answer
$QN>QM$
Work Step by Step
The shorter the arc is, the longer the perpendicular bisector will need to be to get to the arc. Thus, if CD is less than AB, then QN must be greater than QM.
Elementary Geometry for College Students (6th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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: 3
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