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Question

In the given figure, AB = CF, EF = BD, and AFE = DBC.
Is AFECBD? If yes, then by which criterion?


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Solution

In the given figure,
AB = CF
AB + BF = CF + BF
[Adding BF on both the sides]
AF = CB

In AFE and CBD

AF = CB [Proved above]

EF = BD [Given]

AFE=DBC [Given]

AFECBD [SAS criterion]


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