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 205: 37


1. Opposite angles of the triangle are congruent. 2. All 90 degree angles are congruent to themselves. 3. All triangles formed are congruent by AAA. 4. Since all triangles are congruent, all sides are congruent. 5. Since it is a parallelogram with all congruent sides, it is a rhombus.

Work Step by Step

To solve this problem, we break down the rhombus into a bunch of small triangles. By proving all of the triangles are congruent, we showed that sides were congruent, so it is a rhombus.
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