Mathematics

If BA = DE, AC = DF and BF = EC, then the triangles ABC and DEF are congruent by axiom.

If BA = DE, AC = DF and BF = EC, then the triangles ABC and DEF are congruent by axiom. Triangles, Concise Mathematics Solutions ICSE Class 9.
  1. ASA

  2. AAS

  3. RHS

  4. SSS

Triangles

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Answer

Given, BF = EC

Adding FC both sides, we get

⇒ BF + FC = EC + FC

⇒ BC = EF ………………………(1)

Now,

⇒ BA = DE (Given)

⇒ AC = DF (Given)

⇒ BC = EF (From equation (1))

∴ ΔABC ≅ ΔDEF (By SSS congruency criterion)

Hence, option 4 is the correct option.

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