State the converse and contrapositive of each of the following statements :
(i) If it is hot outside, then you feel thirsty.
(ii) I go to a beach whenever it is a sunny day.
(iii) A spositive integer is prime only if it has no divisors other than 1 and itself.
(iv) If you live in Delhi, then you have winter clothes.
(v) If a quadrilateral is a parallelogram, then its diagonals bisect each other.
State the converse and contrapositive of each of the following statements :
(i) If it is hot outside, then you feel thirsty.
(ii) I go to a beach whenever it is a sunny day.
(iii) A spositive integer is prime only if it has no divisors other than 1 and itself.
(iv) If you live in Delhi, then you have winter clothes.
(v) If a quadrilateral is a parallelogram, then its diagonals bisect each other.
(i) Converse : I you feel thirsty, then it is hot outside.
Contrapositive : If you do not feel thirsty, then it is not hot outside.
(ii) Converse : If i go to a beach, then it is a sunny day.
Contrapositive : If i do not go to beach, then it is not sunny day.
(iii) Converse : If an integer has no divisors other than 1 and itself, then it is prime .
Contrapositive : If an integer has some divisors other than 1 and itself, then it is not prime .
(iv) Converse : If you have winter clothes, then you live in Delhi.
Contrapositive : If you do not have winter clothes, then you do not live in Delhi.
(v) Converse : If the diagonals of a quadrilateral bisect each other, then is a parallelogram.
Contrapositive : If the diagonals of a quadrilateral do not bisect each other, then is a quadrilateral is not a parallelogram.
(i) Converse : I you feel thirsty, then it is hot outside.
Contrapositive : If you do not feel thirsty, then it is not hot outside.
(ii) Converse : If i go to a beach, then it is a sunny day.
Contrapositive : If i do not go to beach, then it is not sunny day.
(iii) Converse : If an integer has no divisors other than 1 and itself, then it is prime .
Contrapositive : If an integer has some divisors other than 1 and itself, then it is not prime .
(iv) Converse : If you have winter clothes, then you live in Delhi.
Contrapositive : If you do not have winter clothes, then you do not live in Delhi.
(v) Converse : If the diagonals of a quadrilateral bisect each other, then is a parallelogram.
Contrapositive : If the diagonals of a quadrilateral do not bisect each other, then is a quadrilateral is not a parallelogram.
