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If A B C\ ~= A C B , then A B C is iso...

If ` A B C\ ~= A C B ,` then ` A B C` is isosceles with `A B=A C` (b) `A B=B C` `A C=B C` (d) `Non e\ of\ t h e s e`

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Given : `triangle ABC~=triangle ACB`
Sol : AB and AC are the equal sides of equilateral triangle ABC because only then after reverting it to form ACB, the two triangles can be proved congruent.
Hence, (d) is correct.
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RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In Figure, if A B=A C\ a n d\ /B=/Cdot Prove that B Q=C P

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  2. If A N C~= L K M , then side of L K M equal to side A C\ of A B C ...

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  3. If A B C\ ~= A C B , then A B C is isosceles with A B=A C (b) A B=B...

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  4. If A B C~= P Q R and A B C is not congruent to R P Q , then which o...

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  5. In triangles A B C\ a n d\ P Q R three equality relations between so...

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  6. In triangles A B C\ a n d\ P Q R , if /A=/R ,\ /B=/P\ a n d\ A B=R P ,...

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  7. If P Q R\ ~= E F D , then E D= PQ (b) QR (c) PR (d) None of these

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  8. If P Q R\ ~= E F D , then /E= /P (b) /Q (c) /R (d) None of ...

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  9. In a A B C , if A B=A C\ a n d\ B C is produced to D such that /A C D...

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  10. In an isosceles triangle, if the vertex angle is twice the sum of th...

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  11. D ,\ E ,\ F are the mid-point of the sides B C ,\ C A\ a n d\ A B re...

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  12. Which of the following is not a criterion for congruence of triangle...

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  13. In Figure, the measure of /B^(prime)A^(prime)C ' is (a) 50^@ (b) 60...

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  14. If A B C and DEF are two triangles such that A B C\ ~= F D E\ a n d...

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  15. In Figure, AB|BE and FE |BE.If BC=DE and AB=EF , then ABD is congruen...

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  16. ABC is an isosceles triangle such that AB=AC and AD is the median to b...

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  17. In Figure, if A E||D C and A B=A C , the value of /A B D is (a)70^@ ...

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  18. In Figure, A B C is an isosceles triangle whose side A C is produced...

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  19. In Figure, X is a point in the interior of square A B C Ddot\ \ A X ...

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  20. In Figure, A B C is a triangle in which /B=2/C . D is a point on side ...

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