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A B is a line segment. A X\ a n d\ B Y a...

`A B` is a line segment. `A X\ a n d\ B Y` are two equal line segments drawn on opposite sides of line `A B` such that `A X||B Y`. If `A B\ a n d\ X Y` intersect each other at `P ,` prove that (i)` A P X~=B P Y` (ii) `A B\ a n d\ X Y` bisect each other.

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. A B is a line segment. P\ a n d\ Q are points on opposite sides of A...

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  2. In Figure, diagonal A C of a quadrilateral A B C D bisects the angles ...

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  3. A B is a line segment. A X\ a n d\ B Y are two equal line segments d...

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  4. l\ a n d\ m are two parallel lines intersected by another pair of p...

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  5. In Figure, if A B||D C\ a n d\ P is the mid-point B D , prove that P i...

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  6. In Figure, /B C D=/A D C\ a n d\ /A C B=/B D Adot Prove that A D=B C\ ...

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  7. In two right triangles, one side and an acute angle of one triangle...

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  8. In Figure, A C=B C ,\ /D C A=/E C B\ a n d\ /D B C=E A Cdot Prove that...

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  9. In Figure, it is given that R T=T S ,\ /1=2/2\ a n d\ /4=2/3 . Prov...

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  10. Two lines A B\ a n d\ C D intersect at O such that B C is equal and pa...

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  11. B D\ a n d\ C E are bisectors of /B\ a n d\ /C of an isosceles A B C ...

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  12. In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /A B D=/A C D

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  13. \ ABC is an isosceles triangle with A B=A C. Side B A is produced to...

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  14. In Figure, A B=A CdotB E\ a n d\ C F are respectively the bisectors ...

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  15. If A B C is an isosceles triangle with A B=A Cdot Prove that the ...

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  16. If the altitudes from two vertices of a triangle to the opposite si...

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  17. In Figure, it is given that /A=/C\ a n d\ A B=B Cdot Prove that A ...

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  18. A D\ a n d\ B C are equal perpendiculars to a line segment A B . Sh...

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  19. In A B C ,\ A B=A C , and the bisectors of angles B\ a n d\ C inte...

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  20. In Figure, it is given that A B=E F ,\ B C=D E ,\ A B\ |B D\ a n d\ ...

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