Final answer:
Without additional context or information directly relating to triangles AFE and ADE, we cannot conclude whether they are congruent.
Step-by-step explanation:
To determine whether triangle AFE is congruent to triangle ADE, we must compare their sides and angles. With the provided information, such as shared segments and angles, we should look for congruence postulates like Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Side-Side-Side (SSS), etc. However, the details provided in the fragments are insufficient to draw a definitive conclusion since they do not pertain directly to triangles AFE and ADE. For example, information is given about a segment AB' and angles of incidence which are not directly relevant to triangles AFE and ADE unless further context is provided that connects these details with the triangles in question.