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6. If 3 sides are correspondingly equal of any two triangle then it isa)SAS b)ASAc)SSSpostulate.d)RHS​

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\large \underbrace{\bf {\red{Question:-}}}

If 3 sides are correspondingly equal of any TWO triangles the it is :

  • SAS
  • ASA
  • SAS
  • RHS

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\large \underbrace{\bf{\red{Answer:-}}}

If 3 sides are correspondingly equal of any two triangles the it is :

  • SAS
  • ASA
  • SSS \large {\red{\checkmark}}
  • RHS

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\large \underbrace{\bf{\red{Explaination:-}}}

If all the 3 sides of one triangle are equal to corresponding 3 sides of another triangle, then the two triangles are said to be congruent by SSS congruence rule.

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\large \underbrace{\bf{\red{Example :-}}}

Given, two triangles : ∆ABC and ∆DEF where :

  • AB = DE
  • BC = EF
  • CA = FD

To prove : We have to prove that they are congruent.

Proof : In ∆ABC and ∆DEF :

  • AB = DE [Given]
  • BC = EF [Given]
  • CA = FD [Given]

All sides of ∆ABC are equal to all the corresponding sides of ∆DEF.

Hence, by SSS congruence rule ∆ABC is congruent to ∆DEF


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