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In Figure, A C=B C ,\ /D C A=/E C B\ a n...

In Figure, `A C=B C ,\ /_D C A=/_E C B\ a n d\ /_D B C=E A Cdot` Prove that triangle `D B C\ a n d\ E A C` are congruent, and hence `D C=E C\ a n d\ B D=A E`

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. 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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  2. In two right triangles, one side and an acute angle of one triangle...

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

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

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  6. 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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  7. 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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  8. \ ABC is an isosceles triangle with A B=A C. Side B A is produced to...

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

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

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

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

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

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

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  15. 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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  16. In Figure, it is given that A B=B C\ a n d\ A D=E C. Prove that (i) ...

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  17. In Figure, l||m and M is the mid-point of the line segment A B . Pr...

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  18. In Figure, line l is the bisector of angle A\ a n d\ B is any point...

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  19. In Figure, A D is a median and B L ,\ C M are perpendiculars drawn ...

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  20. In Figure, B M\ a n d\ D N are both perpendiculars to the segments A...

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