Question

If the diagonals of a parallelogram are equal, prove that it is a rectangle.

Answer 1

Step-by-step explanation:

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Given that the diagonals AC and BD of parallelogram ABCD are equal in length . Consider triangles ABD and ACD. ∠BAD + ∠CDA = 180° [Adjacent angles of a parallelogram are supplementary.] ... Therefore, parallelogram ABCD is a rectangle since a parallelogram with one right interior angle is a rectangle