The correct statement that appropriately names the congruent triangles and its justification for the congruence is: B. ΔABC ≅ ΔFED by SAS.
How to correctly name and justify the reason for congruence?
First, let us state out the available information that is given to us from the image:
m∠A = m∠F = 72 degrees [one pair of congruent angles]
side AC = side DF = 3.2 units [one pair of congruent sides]
side AB = side FE = 4 units [one pair of congruent sides]
This makes angles A and F included angles in both triangles. What this means is that, based on the SAS congruence theorem, triangles ABC and FED are congruent triangles.
Option B. ΔABC ≅ ΔFED by SAS is correct.