Question

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.

Class X1 - Maths -Mathematical Reasoning Page 339

Answer 1

concept : The contrapositive of a statement
P => q is the statement ~q => ~p . means if a statement is given then you have to do negative of this statement .
and the converse of a statement P => q is the statement q =>p

( a ) (i) contrapositive statement { ∵ ~q =>~p}
(ii) converse statement { ∵ q => p}

(b) (i) contrapositive statement {∵ ~q = ~p}
(ii) converse statement {∵ q => p }