A) \[\Delta ABC\tilde{\ }\Delta DEF\] by SSS similarity criterion
B) \[\Delta ABC\tilde{\ }\Delta DEF\] by SAS similarity criterion
C) \[\Delta ABC\tilde{\ }\Delta EDF\] by AA similarity criterion
D) \[\Delta ABC\tilde{\ }\Delta DEF\] by AA similarity criterion
Correct Answer: B
Solution :
It is given that \[DE||AB\]and \[EF||BC.\] |
Therefore, \[\angle BAC=\angle EDF;\] \[\angle BCA\,\,\,\angle EFD\] |
(Corresponding angles) |
Hence, \[\Delta ABC\tilde{\ }DEF\]by AA similarity criterion. |
So, option [b] is correct. |
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