Question

If the diagonals of a parallelogram are of
equal lengths, the parallelogram is a
rectangle. Prove it.​

Answer 1

Given:

In Parallelogram ABCD,

Diagonal AC Diagonal BD

To Prove:

Quadrilateral ABCD is a rectangle.

Proof:

In Parallelogram ABCD,

Diagonal AC = Diagonal BD .....given

WE KNOW THAT,

If a diagonals of a quadrilateral are congruent then the quadrilateral is a rectangle.

Therefore, Quadrilateral ABCD is a rectangle.

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Answer 2

Answer:

it is proved that ABCD parallelogram is a rectangle