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In Figure, A B C D isa trapezium in whic...

In Figure, `A B C D` isa trapezium in which side `A B` is a parallel to side `D C` and `E` is the mid-point of side `A Ddot` If `F` is a point on the side `B C` such that the segment `E F` is parallel to side `D C` . Prove that `F` is the mid point of `B C` and `E F=1/2(A B+D C)dot`

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RD SHARMA-QUADRILATERALS-All Questions
  1. P ,Q and R are, respectively, the mid-points of sides B C ,C A and A B...

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

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

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

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  5. 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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  6. In a A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a n d\ C r...

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  7. In triangle ABC, M ,N and P are the mid-points of A B ,A C and B C res...

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

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

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

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  11. 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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  12. Prove that In a parallelogram, opposite side are equal

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  13. The opposite angles of a parallelogram are equal.

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

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

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  16. The angle of quadrilateral are respectively 100^@,98^@,92^@dot Find th...

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

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

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

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

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