Question

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Answer 1

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Answer 2

Given :-

         AB = CF

         EF = BD

         ∠AFE = ∠DBC

To Prove :-

         ΔAFE ≅ ΔCBD

Proof :-

          ΔAFE and ΔCBD

         AB = CF [Given]  ← (1)

        ∠AFE = ∠DBC [Given]  ← (2)

        EF = BD [Given]

        BF = BF [Common]

Add BF to each sides AB and CF [ ∵ AB = CF]

        AB + BF = BF + CF

        AF = BC  ← (3)

         ∴ ΔAFE ≅ ΔCBD [ SAS Congruence Rule ]

       

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