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