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A B C D is a square E ,\ F ,\ G\ a n d\ ...

`A B C D` is a square `E ,\ F ,\ G\ a n d\ H` are points on `A B ,\ B C ,\ C D\ a n d\ D A` respectively, such that `A E=B F=C G=D H`. Prove that `E F G H` is square.

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A B C D is a square E ,\ F ,\ G\ a n d\ H are points on A B ,\ B C ,\ C D\ a n d\ D A respectively, such that A E=B F=C G=D Hdot Prove that E F G H is square.

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A B C is an isosceles triangle in which A B=A C . If D\ a n d\ E are the mid-points of A B\ a n d\ A C respectively, Prove that the points B ,\ C ,\ D\ a n d\ E are concyclic.

Let A B C be an isosceles triangle with A B=A C and let D ,\ E ,\ F be the mid points of B C ,\ C A\ a n d\ A B respectively. Show that A D_|_F E\ a n d\ A D is bisected by F E .

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. The sides A B\ a n d\ C D of a parallelogram A B C D are bisected at E...

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  2. P\ a n d\ Q are the points of trisection of the diagonal B D of a p...

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  3. A B C D is a square E ,\ F ,\ G\ a n d\ H are points on A B ,\ B C ,\ ...

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  4. A B C D is a rhombus, E A B F is a straight line such that E A=A B=B F...

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  5. A B C D is a parallelogram. A D is a produced to E so that D E=D C and...

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

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  7. Prove that the four triangles formed by joining in pairs, the mid-p...

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  8. l, m and n are three parallel lines intersected by transversals p an...

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

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  10. A B C is a triangle right angled at B ; a n d\ P is the mid-point o...

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  11. P ,\ Q\ a n d\ R are, respectively, the mid points of sides B C ,\ C...

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  12. In Figure, A D\ a n d\ B E are medians of A B C\ a n d\ B E||D F . Pr...

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

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  15. In Figure, A D is the median and D E||A B . Prove that B E is the medi...

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

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  17. Show that the line segments joining the mid-points of the opposite s...

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

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

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

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