[Math] Proving That a Parallelogram is a Rectangle

geometryproof-verification

Given a parallelogram with congruent diagonals, you are asked to prove that the parallelogram is a rectangle. Would saying:

A parallelogram must be a rectangle if the diagonals are congruent.

be a valid proof for this question?

Best Answer

If you have already proven this theorem, you can reference it and it is a fine proof. If you have not already proven it, you need to do so. By cutting the parallelogram into four triangles by the diagonals and showing that the triangles are congruent if the diagonals are, you can get there. There are other approaches as well.