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The diagonals of a parallelogram bisect each other.

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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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RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. In a parallelogram A B C D diagonals A C and B D intersect at O and A ...

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  2. In a parallelogram, prove that the bisectors of any two consecutive an...

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  3. The diagonals of a parallelogram bisect each other.

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  4. The angle bisectors of a parallelogram form a rectangle.

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  5. If diagonal of a parallelogram bisects one of the angles of the para...

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  6. Show that the quadrilateral, formed by joining the mid-points of the ...

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  7. The diagonals of a quadrilateral A B C D are perpendicular. Show that ...

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  8. ABCD is a rhombus and P ,Q ,R ,S are the mid-points of A B ,B C ,C D ,...

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  9. Show that the quadrilateral formed by joining the mid-points of the ...

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  10. Prove that the figure formed by joining the mid-points of the pair of ...

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  11. In Figure, A D is the median and D E||A Bdot Prove that B E is the med...

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  12. In a A B C , find the measures of the angles of the triangle formed b...

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  13. In A B C ,A D is the median through A and E is the mid-point of A D ....

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  14. In Figure, A D , and B E are medians of A B C and B E || D Fdot P...

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  15. P ,Q and R are, respectively, the mid-points of sides B C ,C A and A B...

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  16. P is the mid-point of side A B of a parallelogram A B C D . A Line thr...

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  17. In Figure, A B C D isa trapezium in which side A B is a parallel to si...

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  18. In Figure, A B C D is a parallelogram. E and F are the mid-points of t...

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  19. A B C D is a parallelogram. P is a point on A D such that A P=1/3A D a...

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  20. In a triangle A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a...

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