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A B C and D B C are two isosceles t...

` A B C` and ` D B C` are two isosceles triangles on the same base `B C` and vertices `A` and `D` are on the same side of `BC` . If `A D` is extended to intersect `B C` at `P ,` show that `A B D~=A C D` (ii) `A B P~=A C P` `A P` bisects `/_A` as well as `/_D` `A P` is perpendicular bisector of `B Cdot`

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RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In Delta P Q R , if P Q=Q R and L ,M and N are the mid-points ...

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  2. If two isosceles triangles have a common base, prove that the line ...

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  3. A B C and D B C are two isosceles triangles on the same base B C ...

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  4. Explain -Side Side Side(SSS) Congruence .

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  5. A B C D is a parallelogram, if the two diagonals are equal, find th...

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  6. In a A B C , it is given that A B=A C and the bisectors of /B a...

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  7. A B C is a triangle in which /B =2 /CdotD is a point on B C s...

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  8. In A B C ,\ /A=100^0a n d\ A B=A Cdot Find /B\ a n d\ /C

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  9. In Figure, A B=A C\ a n d\ /A C D=120^0dot Find /A

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  10. Prove that measure of each angle of an equilateral triangle is 60^0d...

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  11. In Figure O is the mid-point of A B\ a n d\ C Ddot Prove that \ A O C...

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

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  13. In Figure, it is given that A E=A D\ a n d\ B D=C Edot Prove that A...

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  14. Given: In /\ABC and /\PQR, A B=P Q ,\ B C=Q R\ a n d\ C B\ a n d\ R ...

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  15. In Figure, X ,\ Y\ are two points on equal sides A B\ a n d\ A C of...

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  16. Suppose line segments A B\ a n d\ C D intersect at O in such a way tha...

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  17. If D is the mid-point of the hypotenuse A C of a right triangle A B ...

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  18. A B is a line segment and line l is its perpendicular bisector. If a...

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  19. In quadrilateral A C B D ,\ A C=A D\ a n d\ A B\ bisects /A . Show th...

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  20. Prove that A B C is isosceles if any one of the following holds: (i...

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