Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 2 - Section 2.1 - The Parallel Postulate and Special Angles - Exercises - Page 78: 5a

Answer

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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