Answer
The locus is the perpendicular bisector of line segment DE.
Work Step by Step
A theorem in section one of this chapter states that the locus of the two end points of a line segment is the perpendicular bisector of that line segment.
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Cengage
ISBN 10:
978-1-337-61408-5
ISBN 13:
978-1-33761-408-5
Chapter 7 - Test - Page 349: 3
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