If the diagonals of a parallelogram are perpendicular, what can you conclude about the parallelogram?

Answer 1

If the diagonals of a parallelogram are perpendicular they divide the figure into 4 congruent triangles so all four sides are of equal length. Thus you have a rhombus. If all the angles of the rhombus are right angles then you have a special rhombus which is a square

Answer 2

If the diagonals of a parallelogram are perpendicular, what can you conclude about the parallelogram?

If the diagonals of a parallelogram are perpendicular then the parallelogram will be a rectangle.

Remember a square is a special rectangle with all side lengths equivalent however we have no information regarding the side lengths of this problem.