Answer
The locus is the line that is the perpendicular bisector of $\overline{DE}$.
Work Step by Step
For any point X on line $g$, $DX=EX$
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 - Review Exercises - Page 348: 9
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