Discussion
In ΔABC and ΔDEF, if AB = EF, BC = DE and CA = FD, then
Answer: B
The congruence is ΔABC ≅ ΔFED.
In a congruence statement the vertices must be listed in corresponding order. Find which vertex of ΔDEF matches each vertex of ΔABC from the equal sides.
AB = EF and CA = FD share the vertex A on one side and F on the other, so A corresponds to F. AB = EF and BC = DE share B and E, so B corresponds to E. That leaves C corresponding to D. Reading in order A, B, C gives F, E, D, and the triangles are congruent by SSS.
ΔDEF would need AB = DE; ΔEFD would need A to match E; ΔDFE would need AB = DF. None fits the given pairs of sides.
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