Final answer:
To meet AAS congruence criteria, you need two corresponding angles and the non-included side. None of the provided options by itself meets the AAS criteria, but Option A could be correct with an additional non-included side.
Step-by-step explanation:
To solve a triangle congruence using the Angle-Angle-Side (AAS) criterion, you must know two angles and the non-included side of the triangle. Looking at the options given:
- A. Angle B / Angle E - Knowledge of two angles could be part of an AAS congruence.
- B. Side AC / Side DC - Knowing a pair of corresponding sides can be helpful but does not fulfill the AAS criteria unless paired with two angles.
- C. Side EC / Side BC - This refers to the sides, and for AAS we specifically need two angles and a side.
- D. Angle C / Angle C - This is redundant and does not provide two unique angles or the necessary side.
The correct answer has to include two matching angles from each triangle and one non-included side. It seems there might be a misunderstanding in the problem, as none of the options perfectly fit the AAS criteria by itself. However, Option A could be correct if supplemented with the knowledge of a corresponding non-included side.