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Question


In the given figure it is given that AB = CF, EF = BD and ∠AFE = ∠DBC. Then by which criterion △AFE≅△CBD ?


In The Given Figure It Is Given That AB = CF, EF = BD And âˆ...


Options:
A .   SAS
B .   SSS
C .   ASA
D .   None of these
Answer: Option A
:
A

In  the given figure,
AB = CF


AB + BF = CF + BF 
[Adding BF on both the sides]


AF = CB


In â–³AFE and â–³CBD
AF = CB                   [Proved above]
EF = BD                   [Given]


∠AFE=∠DBC      [Given]
∴△AFE≅△CBD  [SAS criterion]


 



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