Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 7 - Section 7.1 - Locus of Points - Exercises - Page 329: 26

Answer

The locus of points is any plane that is parallel to the original plane.

Work Step by Step

This problem is fairly difficult to draw but not too hard to describe. Recall, a locus is equidistant from the original plane at all points. Thus, any plane that is parallel to the original plane will work, for this plane will always be the same distance from the original plane.
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