Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 7 - Section 7.1 - Locus of Points - Exercises - Page 318: 34


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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