Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 7 - Section 7.1 - Locus of Points - Exercises - Page 328: 36

Answer

The shape created is any sphere that has the same center as the original sphere.

Work Step by Step

Recall, a locus is the same distance from all of the points no matter what. Since the book does not specify a distance from the surface of the sphere, we can choose any distance that we want. Thus, as long as the shape we choose is a sphere centered on the original sphere, it will be the locus of the original sphere.
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