Its diagonals are equal in length
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No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.
If the diagonals are cong. then the figure is a rectangle.
No not normally only if the parallelogram is in the form of a rectangle will it then have congruent diagonals.
No.
If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.