# 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.

**Solution:**

We know that

- The contrapositive of a statement "If A then B" is "If not B then not A".
- The converse of a statement "If A then B" is "If B then A".

Accordingly,

**(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)

NCERT Solutions Class 11 Maths Chapter 14 Exercise 14.4 Question 4

## 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.

**Summary:**

(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