Which information is needed to show that a parallelogram is a rectangle? question 5 options: the diagonals bisect each other. the diagonals are congruent. the diagonals are congruent and perpendicular. the diagonals bisect each other and are perpendicular?

The diagonals are congruent. Since all rectangles are also parallelograms, let's check which option provides that little extra kick to make a parallelogram a rectangle. The diagonals bisect each other. * This would be wrong. The perpendiculars bisect each other in all parallelogram. So this won't make a parallelogram a rectangle and this is a bad choice. The diagonals are congruent. * This would work. Since the diagonals are congruent, they along with the parallelogram will form 4 congruent triangles. And the only way all 4 triangles can be congruent is if they're all right triangles. So this is the correct choice. The diagonals are congruent and perpendicular. * Sorry, the diagonals in a rectangle are generally not perpendicular. The only time that they are perpendicular is if the rectangle is also a square. So this is a bad choice. The diagonals bisect each other and are perpendicular * This is only true if the rectangle is a square. So it's over specific and therefore a bad choice.

The answer is why would a teacher ask that