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Question

In the given figure, AB = CF, EF = BD and AFE = DBC. Then AFE is congruent to CBD by which criterion?


A

SAS

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B

SSS

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C

ASA

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D

None of these

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Solution

The correct option is A

SAS


In the given figure,
AB = CF

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

AF = CB

EF = BD [Given]

AFE=DBC [Given]

SAS: If any pair of corresponding sides and their included angles are equal in both triangles.

By SAS, the two triangles are congruent.


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