Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 4 - Section 4.3 - The Rectangle, Square, and Rhombus - Exercises - Page 193: 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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