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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 Hdot` 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 H . Prove that E F G H is square.

A D\ a n d\ B E are respectively altitudes of A B C such that A E=B D . Prove that A D=B E .

In a A B C ,D and E are points on sides A B a n d A C respectively such that B D=C E . If /_B=/_C , show that DE || BC .

In Figure, A D=A E\ a n d\ D\ a n d\ E are points on B C such that B D=E Cdot Prove that A B=A C

In a A B C ,\ E\ a n d\ F are the mid-points of A C\ a n d\ A B respectively. The altitude A P to B C intersects F E\ at Q . Prove that A Q=Q P .

A B C D is a parallelogram. E is a point on B A such that B E=2\ E A\ a n d\ F is a point on D C such that D F=2\ F C . Prove that A E C F is a parallelogram whose area is one third of the area of parallelogram A B C D .

A B C D is a parallelogram and E\ a n d\ F are the centroids of triangles A B D\ a n d\ B C D respectively, then E F= (a) A E (b) B E (c) C E (d) D E

In Figure, A B C is a right triangle right angled at A ,\ B C E D ,\ A C F G\ a n d\ AB M N are square on the sides B C ,\ C A\ a n d\ A B respectively. Line segment A X\ _|_D E meets B C at Ydot Show that: a r(C Y X E)=a r\ (A C F G)

A B C D is a parallelogram, E\ a n d\ F are the mid-points of A B\ a n d\ C D respectively. G H is any line intersecting A D ,\ E F\ a n d\ B C at G ,\ P\ a n d\ H respectively. Prove that G P=P H

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.

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. In DeltaA B C , D, E and F are respectively the mid-points of sides...

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

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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. The line segment joining the mid-points of any two sides of a triangle...

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  7. In a quadrilateral ABCD, CO and DO are the bisectors of /C and /D ...

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  8. The angle of a quadrilateral are respectively 100^0,\ 98^0,\ 92^0dot F...

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  9. In a quadrilateral A B C D , the angles A ,\ B ,\ C\ a n d\ D are in t...

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

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

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

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  13. The angle of a quadrilateral are respectively 100^0,\ 98^0,\ 92^0dot F...

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  14. In a quadrilateral A B C D , the angles A ,\ B ,\ C\ a n d\ D are in t...

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

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

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  17. In a parallelogram A B C D , prove that sum of any two consecutive ang...

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  18. In a parallelogram A B C D ,/D=115^0, determine the measure of /A and ...

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  19. In Figure, A B C D is a parallelogram. Compute the values of x\ a n...

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  20. In Figure, find the four angles A ,\ B ,\ C\ a n d\ D in the parall...

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