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In Figure, A C=B C ,/D C A=/E C B and /D...

In Figure, `A C=B C ,/_D C A=/_E C B` and `/_D B C=/_E A Cdot` Prove that triangles `D B C` and `E A C` are congruent, and hece `D C=E C` and `B D=A E`

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To prove that triangles \( DBC \) and \( EAC \) are congruent, we will use the criteria for congruence of triangles. ### Given: 1. \( AC = BC \) (Given) 2. \( \angle DCA = \angle ECB \) (Given) 3. \( \angle DBC = \angle EAC \) (Given) ### To Prove: ...
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RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. B D and C E are bisectors of /B and /C of an isosceles A B C with A B...

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

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  3. 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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  4. If the bisector of the vertical angle of a triangle bisects the base...

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If the altitudes from two vertices of a triangle to the opposite sid...

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  19. A D and B C are equal perpendiculars to a line segment A B . Show that...

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  20. In A B C ,A B=A C , and the bisectors of angles B and C intersec...

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