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A B is a line segment, A X and B Y are t...

`A B` is a line segment, `A X` and `B Y` are two equal line segments drawn on opposite sides of line `A B` such that `AX||BY`. If `A B` and `X Y` intersect each other at `P ,` prove that `triangle A P X~= triangle B P Y`. `A B` and `X Y` bisect each other.

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
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  2. In triangle A B C ,/B=45^0,/C=55^0 and bisector of /A meets B C at ...

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  3. A B is a line segment, A X and B Y are two equal line segments drawn o...

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  4. In Figure, if AB||DE ,/B A C=35^0 and /C D E=53^0 , find /D C E.

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  5. l and m are two parallel lines intersected by another pair of parall...

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  6. (Exterior Angle Theorem): If a side of a triangle is produced, the e...

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  7. Two triangles are congruent if include two angles and the included s...

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  8. A ,B ,C are three angles of a triangle. If A-B=15^0,B-C=30^0, find /A...

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  9. In the figure, diagonal A C of a quadrilateral A B C D bisects the ang...

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  10. In a triangle A B C ,/A B C=/A C B and the bisectors of /A B C and /...

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  11. In Figure, /B C D=/A D C and /A C B=/B D Adot Prove that A D=B C and /...

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  12. If each angle of a triangle is less than the sum of the other two, ...

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  13. In two right triangles, one side and an acute angle of one triangle...

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  14. If Figure, if Q T|P R ,/T Q R=40^0 AND /S P R=30^0, find x and ydot F...

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  15. If D is any point on the base B C produced, of an isosceles triangle A...

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  16. sides Q P and R Q of P Q R are produced to point S and T respectively....

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  17. Show that in a right triangle the hypotenuse is the longest side. GI...

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  18. An exterior angle of a triangle is 110^0 , and one of the interior opp...

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  19. Show that the sum of the three altitudes of a triangle is less than ...

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  20. The sides B C ,C A and A B of a triangle A B C , are produced in or...

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