SOLUTION: Prove that if the diagonals of a rectangle are perpendicular then the rectangle is actually a square.Thanks!

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Question 983299: Prove that if the diagonals of a rectangle are perpendicular then the rectangle is actually
a square.Thanks!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The diagonals of a rectangle bisect each other and the diagonals of a rectangle are congruent. Hence, the four triangles created by two perpendicular diagonals are mutually congruent, each congruent hypotenuse forming a side of the rectangle which perforce a square.

John

My calculator said it, I believe it, that settles it