To determine which angle \(\angle A''\) is congruent to, we need to analyze the relationships between triangles \(DEF\) and \(A''B''C''\).
Typically, in a context like this with two corresponding triangles, the angles and sides are usually labeled in such a way that:
- \(\angle D\) corresponds to \(\angle A''\)
- \(\angle E\) corresponds to \(\angle B''\)
- \(\angle F\) corresponds to \(\angle C''\)
Given that \(\angle A''\) corresponds to one of the angles in triangle \(DEF\), the most likely option is that \(\angle A''\) is congruent to \(\angle D\).
Therefore, the answer is:
Option #1: \(\angle D\)