Exercises · Q13
Q.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.
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Start your 14-day free trial to unlock the full solution →- Original: "If you live in Delhi, then you have winter clothes." (p: live in Delhi; q: have winter clothes)
- "If you do not have winter clothes, then you do not live in Delhi." This is "if ¬q then ¬p" — the contrapositive.
- "If you have winter clothes, then you live in Delhi." This is "if q then p" — the converse.
- Original: "If a quadrilateral is a parallelogram, then its diagonals bisect each other." (p: is a parallelogram; q: diagonals bisect each other) …
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