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Statement the converse and contrapositive of each of the following statements:
If you live in Delhi, then you have winter clothes.
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Q1
Statement the converse and contrapositive of each of the following statements:
If you live in Delhi, then you have winter clothes.
If you live in Delhi, then you have winter clothes.
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Q2
Write the contrapositive of the following statement.
'If you live in Delhi, then you have winter clothes.'
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Q3
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
(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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Q4
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.
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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Q5
Givenstatements in (a) and (b). Identify the statements given below ascontrapositive or converse of each other.
(a) Ifyou live in Delhi, then you have winter clothes.
(i) Ifyou do not have winter clothes, then you do not live in Delhi.
(ii) Ifyou have winter clothes, then you live in Delhi.
(b) Ifa quadrilateral is a parallelogram, then its diagonals bisect eachother.
(i) If the diagonalsof a quadrilateral do not bisect each other, then the quadrilateralis not a parallelogram.
(ii) If thediagonals of a quadrilateral bisect each other, then it is aparallelogram.
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