Prove that a parallelogram is a rhombus, a parallelogram with four equal sides, if and only if its diagonals are or- thogonal.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 5E: If the diagonals of a parallelogram are perpendicular and congruent, what can you conclude regarding...
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Prove that a parallelogram is a rhombus, a parallelogram

with four equal sides, if and only if its diagonals are or-
thogonal.

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