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 2 - Section 2.1 - The Parallel Postulate and Special Angles - Exercises - Page 87: 5a


The relation "is parallel to" does not have a reflexive property.

Work Step by Step

The relation "is parallel to" is only applicable to multiple lines. In this situation, the reflexive property implies one line can be parallel to itself. This is obviously impossible, so the relation does not have a reflexive property.
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