Sufficient Conditions for Quadrilaterals to Be Parallelograms
Theorem. Converse of the following: The diagonals of a parallelogram bisect each other.
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
Given: |
Quadrilateral ABCD, where diagonals and bisect each other |
Prove: | Quadrilateral ABCD is parallelogram. |

Proof:
