If ΔABC ≅ ΔFED, then

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CTET Paper 2 Maths & Science 21st Jan 2022 (English-Hindi-Sanskrit)
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  1. AB = DE
  2. BC = FE
  3. ∠B = ∠E
  4. ∠C = ∠F

Answer (Detailed Solution Below)

Option 3 : ∠B = ∠E
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Detailed Solution

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Given: 

ΔABC ≅ ΔFED

Concept used: 

If ABC and FED are conguerent triangles then,

⇒ \({AB \over FE}\) = \({BC \over ED}\) = \({AC \over FD}\)

Calculation: 

Here, ΔABC ≅ ΔFED

⇒  \({AB \over FE}\) = \({BC \over ED}\) = \({AC \over FD}\)

And ∠ A = ∠ F, ∠ B = ∠ E, ∠ C = ∠ D

⇒ ∠ B = ∠ E

∴ Option 3 is correct.

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