Q. 2 E

# State the converse and contrapositive of each of the following statements:

If a quadrilateral is a parallelogram, then its diagonals bisect each other.

Answer :

Definition of Converse: A conditional statement is not logically equivalent to its converse.

Definition of contrapositive: A conditional statement is logically equivalent to its contrapositive.

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.

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PREVIOUSState the converse and contrapositive of each of the following statements:If you live in Delhi, then you have winter clothes.NEXTRewrite each of the following statements in the form “p if and only is q.”(i) p : If you watch television, then your mind is free, and if your mind is free, then you watch television.(ii) q : If a quadrilateral is equiangular, then it is a rectangle, and if a quadrilateral is a rectangle, then it is equiangular.(iii) r : For you to get an A grade, it is necessary and sufficient that you do all the homework you regularly.(iv) s : If a tumbler is half empty, then it is half full, and if a tumbler is half full, then it is half empty.

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