In triangles ABC and DEF, $\angle B = \angle E$, $\angle F = \angle C$ and $AB = 3\,DE$. Then, the two triangles are:

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Step 1: Since $\angle B = \angle E$ and $\angle F = \angle C$, by AA similarity $	riangle ABC \sim 	riangle DEF$. But $AB = 3\,DE 
eq DE$, so corresponding sides are not equal, hence not congruent.

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