Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 1 - Section 1.4 - Relationships: Perpendicular Lines - Exercises - Page 62: 15

Answer

It does not have a reflexive or transitive property. It does have symmetric property.

Work Step by Step

An angle can only be complimentary to itself if it is 45$^{\circ}$ otherwise a reflexive property is invalid. If angles 1 and 2 are complimentary and angles 2 and 3 are complimentary that does not necessarily mean that angles 1 and 3 are complimentary. If angle 1 is complimentary to angle 2 then angle 2 is complimentary to angle 1.
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