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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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Prove analytically that the line segment joining the middle points of two sides of a triangle is equal to half of the third side.

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. In a triangle A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a...

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  2. In Figure, M ,N and P are the mid-points of A B ,A C and B C respectiv...

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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 triangle A B C median A D is produced to X such that A D=D Xdot P...

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  5. In Delta ABC the lines are drawn parallel to BC,CA and AB respectively...

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  6. A B C D is a kite having A B=A D and B C=C D . Prove that the figure f...

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  7. Prove that In a parallelogram, opposite side are equal

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  8. The opposite angles of a parallelogram are equal.

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  9. The sides B A and D C of a quadrilateral A B C D are produced as shown...

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  10. In a quadrilateral A B C D ,A O andB O are the bisectors of A/ and /B ...

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  11. The angle of quadrilateral are respectively 100^0,98^0,92^0dot Find th...

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  12. The angles of a quadrilateral are in the ratio 3:5:9: 13. Find all the...

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  13. A diagonal of parallelogram divides it into two congruent triangles.

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  14. In Figure, bisectors of /B and /D of quadrilateral A B C D meet C D...

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  15. In a quadrilateral A B C D ,\ C O\ a n d\ D O are the bisectors of /C\...

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  16. Let A B C be an isosceles triangle with A B=A C and let D ,\ E ,\ F ...

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  17. ABC is a triangle right angled at C. A line through the mid-point M ...

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  18. The line drawn through the mid-point of one side of a triangle, par...

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  19. In Figure, D ,E and F are, respectively the mid-points of sides B C ,C...

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  20. In DeltaA B C , D, E and F are respectively the mid-points of sides...

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