Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 4 - Section 4.2 - The Parallelogram and Kite - Exercises - Page 186: 26

Answer

1. When the diagonals bisect each other, it creates to equal length sides. 2. By the vertical angle theorem, the angles across from each other are congruent. 3. Thus, by SAS, the two triangles opposite to each other in a parallelogram are congruent. 4. The triangles are congruent, then all of the opposite sides and angles are congruent. 5. If all of the opposite sides and angles are congruent, then it is a parallelogram.
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