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 317: 14

Answer

The locus is the perpendicular bisector of line segment AB.

Work Step by Step

Recall, a locus is equidistant from the points no matter where you are. Therefore, first construct the original points. Then, draw a line (which is red in the diagram) that is equidistant away from the points at all points. There is a theorem that states that this will be the perpendicular bisector of line segment AB.
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