# What special type of quadrilateral has diagonals that are congruent and bisect but are not perpendicular?

Rectangle is the quadrilateral, which has diagonals that are congruent and bisect but are not perpendicular.

If diagonals bisect each other, opposite sides of quadrilateral are equal and it would be a parallelogram.

But then diagonals may not be congruent. If they are congruent, then it must be a rectangle.

As diagonals are not perpendicular, it cannot be a square or rhombus (latter does not have congruent diagonals).

Hence, quadrilateral is a rectangle.

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A special type of quadrilateral that has diagonals that are congruent and bisect but are not perpendicular is called a rhombus.

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