Question: suppose the diagonals of a parallelogram are both perpendicular and congruent?
Answer: If the diagonals of a parallelogram are both perpendicular and congruent, then the special quadrilateral is rhombus. A Rhombus is a flat shape having for equal sides. A rhombus looks like a diamond, where both sides have the same length. The opposite sides are identical, and the angles opposite are equal.