bisect each other
Explanation:Given: Rectangle ABCD
AB = DC (opposite sides of a rectangle are equal)
Let the point of bisection of the diagonals be O
Similarly:
Therefore:
△OAB ≅ △OCD (ASA rule of congruence)
We can then conclude that:
AO = CO (Corresponding sides of congruent triangles are equal)
DO = BO (Corresponding sides of congruent triangles are equal)
Since the midpoints are the same, the diagonals bisect each other