Prove that the diagonals of a rectangle bisect each other.

The midpoints are the same point, so the diagonals

are parallel to each other.

bisect each other.

have the same slope.

are perpendicular to each other.

  bisect each other.

Step-by-step explanation:

The midpoints are the same point, so the diagonals bisect each other.

__

More elaboration on a proof

The alternate interior angles formed by diagonals and the sides of the triangle are congruent, so the (point-to-point) triangles formed by the crossing diagonals are congruent ASA. Since the sides of those triangles are congruent, the diagonals meet at their midpoints. That is, the diagonals bisect each other.