State the converse and contrapositive of each of the following statement: If a quadrilateral is a parallelogram, then its diagonals bisect each other.

Answer:

Converse: If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

Contrapositive: If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram.