Final answer:
In incongruent triangles ∆ABC and ∆FDE, the corresponding angles are equal. The correct statement is that angle A of ∆ABC is congruent to angle F of ∆FDE, so the answer is (a) ∠A ≅ ∠F.
Step-by-step explanation:
If ∆ABC ≅ ∆FDE, then the corresponding angles of the two congruent triangles are equal. Triangle congruence means that all corresponding sides and angles are equal in measure. Therefore, since the triangles are given to be congruent, their corresponding angles will be congruent as well. For instance, angle A in ∆ABC corresponds to angle F in ∆FDE, angle B corresponds to angle E, and angle C corresponds to angle D. Thus, the correct option according to the congruence between ∆ABC and ∆FDE would be: (a) ∠A ≅ ∠F. It is important to note that when triangles are congruent, one must consider their corresponding angles and sides carefully to identify which parts match.
Looking at the other options, we can see why they are incorrect: (b) ∠B ≅ ∠F is not correct because angle B corresponds to angle E, not F; (c) ∠A ≅ ∠D is incorrect because angle A corresponds to angle F, not D; and (d) ∠B ≅ ∠E is incorrect as it is stating the right equivalence, but it is not what we are asked to confirm according to the original question. In conclusion, we mention the correct option in the final answer, which is (a) ∠A ≅ ∠F.