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Given Statements in (A) and (B). Identify the Statements Given Below as Contrapositive Or Converse of Each Other. If You Live in Delhi, Then You Have Winter Clot If a Quadrilateral is a Parallelogram, Then Its Diagonals Bisect Each Other. - Mathematics

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

(a) If you live in Delhi, then you have winter clothes.

(i) If you do not have winter clothes, then you do not live in Delhi.

(ii) If you have winter clothes, then you live in Delhi.

(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.

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Solution

(a) (i) This is the contrapositive of the given statement (a).

(ii) This is the converse of the given statement (a).

(b) (i) This is the contrapositive of the given statement (b).

(ii) This is the converse of the given statement (b).

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 14 Mathematical Reasoning
Q 4 | Page 339
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