Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 4 - Section 4.1 - Properties of a Parallelogram - Exercises - Page 177: 28

Answer

1. We are given that WX is parallel to YZ. 2. If WX is parallel to YZ, angle Z and W are congruent, and angles Y and Z are congruent by the corresponding angles theorem. 3. Since Z is supplementary to Y, X and W are also supplementary. 4. Thus, ZW and XY are parallel. 5. Since both sets of sides are parallel, it is a parallelogram.
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