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State the Converse and Contrapositive of Statement: If a Quadrilateral is a Parallelogram, Then Its Diagonals Bisect Each Other.

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Question

State the converse and contrapositive of  statement:

 If a quadrilateral is a parallelogram, then its diagonals bisect each other.

 
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Solution

Converse of the given statement:
If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
Contrapositive of the given statement:
If the diagonals of a quadrilateral do not bisect each other, then it is not a parallelogram.

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Chapter 31: Mathematical reasoning - Exercise 31.5 [Page 21]

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R.D. Sharma Mathematics [English] Class 11
Chapter 31 Mathematical reasoning
Exercise 31.5 | Q 2.5 | Page 21

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