SOLUTION: Prove if the diagonals of a paarallelogram are congruent, then the parallelogram is a rectangle.

Question 366939: Prove if the diagonals of a paarallelogram are congruent, then the parallelogram is a rectangle.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The relationship between the sides of a parallelogram L,L,W,W and its diagonals A and B:. If the diagonals are congruent, then A = B, hence . Dividing both sides by 2 we get , which is a statement of the Pythagorean Theorem. By the converse of the Pythagorean Theorem the sides L, W, and A form a right triangle, hence the parallelogram is a rectangle.
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