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 4 - Section 4.3 - The Rectangle, Square, and Rhombus - Exercises - Page 204: 5

Answer

This parallelogram is a square.

Work Step by Step

If the diagonals are congruent, then the four angles must be $90^{\circ}$. Then the parallelogram must be a rectangle. The diagonals of a rectangle are perpendicular only if it is a square. Therefore, this parallelogram is a square.
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