Elementary Geometry for College Students (7th Edition)

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 327: 19

Answer

The locus is a pair of perpendicular lines that bisect the angles formed by the original two lines.

Work Step by Step

Recall, a locus is equidistant from either line no matter where you are. Therefore, first construct the original lines. Then, draw any line (which is red in the diagram) that is the same distance from either line at all points.
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