Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 7 - Review Exercises - Page 338: 12

Answer

The locus is the perpendicular bisector of $\overline{DE}$.
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Work Step by Step

The center of all circles passing through $D$ and $E$ are on the perpendicular bisector of $DE$, because these two points are equidistant from the center of all cirles passing through them.
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