Answer
These two triangles are congruent.
Work Step by Step
For starters, we know that angle DEA is congruent to angle BEC by the vertical angles theorem. In addition, since corresponding angles in congruent triangles are congruent, we see that angle A and angle C are congruent. In addition, from the previous problem, we know that AD and BC are congruent, for corresponding sides of congruent triangles are congruent. Since these two sets of angles are congruent, we know that EDA is congruent to EBC. Thus, by ASA, the two triangles are congruent. This means that DE and EB are congruent and that AE and CE are congruent.
