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: 6

Answer

This quadrilateral is a rhombus.

Work Step by Step

If the diagonals are perpendicular, then the quadrilateral must be a kite. If the diagonals of a kite bisect each other, then all four sides of the kite must be congruent. Therefore, this quadrilateral is a rhombus.
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