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Question

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

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Q1
State the converse and contrapositive of each of the following statements:
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(v) If a quadrilateral is a parallelogram, then its diagonals bisect each other.
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Q2

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

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If the diagonals bisect each other in a quadrilateral, then, it is a parallelogram.


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