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: 5c

Answer

The relation "is parallel to" does have a transitive property.

Work Step by Step

A relation with a transitive property means the relation is applicable to 3 objects in such a way that if $a$R$b$ and $b$R$c$, $a$R$c$. Three lines can be parallel to each other, so the relation "is parallel to" does have a transitive property.
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