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In Figure, A B=A CdotB E and C F are res...

In Figure, `A B=A CdotB E` and `C F` are respectively the bisectors of `/_B` and `/_C` . Prove that `E B C=F C Bdot` Figure

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In Fig. 4.102 (i) and (ii) , if C D and G H (D\ a n d\ H lie on A B and F E ) are respectively bisectors of /_A C B and /_E G F and A B C ~ F E G , prove that (FIGURE) D C A ~ H G F (ii) (C D)/(G H)=(A C)/(F G) (iii) D C B ~ H G E

In figure A B=A C\ a n d\ C P||B A and A P is the bisector of exterior /_C A D of A B C . Prove that /_P A C=/_B C A (ii) A B C P is a parallelogram

In Fig. 4.103, C D and G H are respectively the medians of A B C and E F G . If A B C ~ F E G , prove that (FIGURE) A D C ~ F H G (ii) (C D)/(G H)=(A B)/(F E) (iii) C D B ~ G H E

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In Figure, A B C is an isosceles triangle in which A B=A CdotC P A B and A P is the bisector of exterior /_C A D of A B C . Prove that /_P A C=/_B C A and (ii) A B C P is a parallelogram.

In Figure, it is given that A B=B C and A D=E C . Prove that A B E~=C B D

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In Figure, B D and C E are two altitudes of a A B C such that B D=C Edot Prove that A B C is isosceles. Figure

In Figure, it is given that A E=A D and B D=C Edot Prove that A E B~=A D C

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RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In Figure, A B=A CdotB E and C F are respectively the bisectors of /B ...

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  2. DABC is an isosceles triangle in which A B""=" "A C . Side BA is p...

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  3. If any two angles and a non-included side of one triangle are equal ...

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  4. B D and C E are bisectors of /B and /C of an isosceles A B C with A B...

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  5. Two lines A B and C D intersect at O such that B C is equal and parall...

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  6. In Figure, A C=B C ,/D C A=/E C B and /D B C=/E A Cdot Prove that tria...

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  7. If the bisector of the vertical angle of a triangle bisects the base...

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  8. In an isosceles triangle altitude from the vertex bisects the base....

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  9. If the altitude from one vertex of a triangle bisects the opposite ...

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  10. Angles opposite to two equal sides of a triangle are equal. GIVEN : ...

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  11. Prove that the perimeter of a triangle is greater than the sum of it...

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  12. In A B C , side A B is produced to D so that B D=b cdot If /B=60^0 an...

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  13. Prove that in a quadrilateral the sum of all the sides is greater t...

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  14. In Figure, P Q R S is a quadrilateral in which diagonals P R and Q S i...

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  15. GIVEN : P Q R S is a quadrilateral. P Q is its longest side and R S ...

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  16. In Figure, A B and CD are respectively the smalles and longest sides...

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  17. Of all the line segments drawn from a point P to a line m not containi...

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

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  19. In Figure, B M and D N are both perpendiculars to the segments A C and...

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

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