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In the adjoining figure, AB = FC, EF = BD and ∠AFE = ∠CBD. Then the rule by which △AFE ≅ △CBD is

  1. SAS

  2. ASA

  3. SSS

  4. AAS

In the adjoining figure, AB = FC, EF = BD and ∠AFE = ∠CBD. Then the rule by which △AFE ≅ △CBD is? Triangles, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

Triangles

ICSE

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Answer

In △AFE and △CBD,

Given,

⇒ AB = CF

⇒ AB + BF = CF + BF

⇒ AF = BC.

BD = EF (Given)

∠AFE = ∠CBD (Given).

Hence, △AFE ≅ △CBD by SAS axiom.

Hence, Option 1 is the correct answer.

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