4.(b)    Given statements in (b). Identify the statements given below as contrapositive or converse of each other.

                (b) If a quadrilateral is a parallelogram, then its diagonals bisect each other.
                (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram.
                (ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

Answers (1)

If a quadrilateral is a parallelogram, then its diagonals bisect each other.  (if p then q)

The Contrapositive is (~q, then ~p)

Hence (i) is the Contrapositive statement.

The Converse is (q, then p)

Hence (ii) is the Converse statement.

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