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Prove that the line segment joining the ...

Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

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Prove that the line joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides of trapezium and is half of their difference.

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Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

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Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove that the line segments joints joining the mid-points of the adjacent sides of a quadrilateral from a parallelogram.

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RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. P is the mid-point of side A B of a parallelogram A B C D . A line t...

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

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  3. Prove that the line segment joining the mid-points of the diagonals of...

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  4. In /\ A B C ,\ D ,\ E\ a n d\ F are, respectively, the mid-points of...

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  5. In a triangle /a b c ,\ /A=50^0,\ /B=60^0a n d\ /C=70^0 . Find the mea...

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  6. In a triangle, P ,\ Q\ a n d\ R are the mid-points of sides B C ,\ ...

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  7. In a A B C median A D is produced to X such that A D=D X . Prove that...

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  8. In a A B C ,\ E\ a n d\ F are the mid-points of A C\ a n d\ A B respe...

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  9. In a /\ A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a n d\ C...

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  10. In triangle A B C is right-angled at B. Given that A B=9cm ,\ A C=15 ...

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  11. M ,\ N\ a n d\ P are the mid-points of A B ,\ A C\ a n d\ B C respecti...

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  12. A B C is a triangle and through A ,\ B ,\ C lines are drawn para...

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  13. In Figure, B E|A C ,\ A D is any line from A\ to\ B C intersecting B E...

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  14. In figure A B=A C\ a n d\ C P||B A and A P is the bisector of exteri...

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  15. Let A B C be an isosceles triangle in which A B=A C. If D ,\ E ,\ F ...

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  16. A B C is a triangle. D is a point on A B such that AD=1/4A B\ a n d\ E...

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  17. In Figure, A B C D is a parallelogram in which P is the mid-point of...

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  18. In Figure, A B C D\ a n d\ P Q R C are rectangles and Q is the mid-poi...

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  19. A B C D is a parallelogram, E\ a n d\ F are the mid-points of A B\ a n...

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  20. B M\ a n d\ C N are perpendicular to a line passing through the vert...

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