Prove the Following:

Question

One diagonal of a quadrilateral bisects two angles of the quadrilateral. Prove that it bisects the other diagonal.

Answer 1

The two triangles that are created by the diagonal will be congruent by ASA.

The opposite sides of the quadrilateral will be equal by CPCTE.

Since the opposite sides are equal, the quadrilateral is a parallelogram.

Since it is a parallelogram, the diagonals bisect one another.