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P Q R is a triangle in which P Q=P R and...

`P Q R` is a triangle in which `P Q=P R` and `S` is any point on the side `P Q` . Through `S ,` a line is drawn parallel to `Q R` and intersecting `P R` at `Tdot` Prove that `P S=P Tdot`

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, line segment A B is parallel to another line segment C D ...

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  2. A D and B E are respectively altitudes of an isosceles triangle A B...

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  3. P Q R is a triangle in which P Q=P R and S is any point on the side P ...

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  4. If the bisector of the exterior vertical angle of a triangle be par...

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  5. Prove that Two right triangles are congruent if the hypotenuse and o...

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  6. AD, BE and CF , the altitudes of triangle ABC are eq...

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  7. A point O is taken inside an equilateral four sided figure A B C D suc...

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  8. In Delta P Q R , if P Q=Q R and L ,M and N are the mid...

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

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  10. Side Side Side(SSS) Congruence : Two triangles are congruent if the th...

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

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

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

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

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

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

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

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

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  20. In ΔABC a n d\ Δ P Q R ,\ A B=P Q ,\ B C=Q R\ a n d\ C B\ a n d\ R Q...

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