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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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