What special type of quadrilateral has diagonals that are congruent and bisect but are not perpendicular?
1 Answer
May 19, 2018
Rectangle is the quadrilateral, which has diagonals that are congruent and bisect but are not perpendicular.
Explanation:
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.
