Elementary Geometry for College Students (7th Edition) Clone

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: 4

Answer

(a) square (b) square

Work Step by Step

(a) A rhombus that has all angles congruent is a square. If all the angles are congruent, then each angle is $90^{\circ}$ since the sum of the four angles is $360^{\circ}$. Also note that a rhombus has four congruent sides. (b) A rhombus that has congruent diagonals is a square. If the diagonals are congruent then each of the four angles must be $90^{\circ}$. Also note that a rhombus has four congruent sides.
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