Proof : If the diagonal of a parallelogram are equal, then show that it is a rectangle.
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If the diagonal of a parallelogram are equal, then show that it is a rectangle.
one of its interior angles is 90° and this can be done by the concept of congruent triangles.Hence, ∠B = ∠D = ∠C = ∠A = 90° [Since opposite angles of a parallelogram are equal].
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Solution: Given: The diagonals of a parallelogram are equal. To show that a given parallelogram is a rectangle, we have to prove that one of its interior angles is 90° and this can be done by the concept of congruent triangles. ... Hence, ∠B = ∠D = ∠C = ∠A = 90° [Since opposite angles of a parallelogram are equal].
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