Final answer:
Without a specific diagram, it is not possible to confidently identify a pair of congruent triangles. Generally, establishing triangle congruence involves comparing sides and angles using congruence postulates such as SAS, SSS, or ASA.
Step-by-step explanation:
The question seems to be asking for the identification of a pair of congruent triangles in a given geometric diagram, and then to construct a proof for their congruence using the given information. However, the specific details of the diagram and the triangles in question are not provided. To solve a problem like this, one would typically look for triangles that share common sides or angles as suggested by the given information, such as 'AC BC, ZA ZB' which might indicate that sides AC and BC are equal and angles ZA and ZB are equal. This could suggest the use of the Side-Angle-Side (SAS) Congruence Postulate if those elements are parts of the triangles being considered.
The Reflexive Property of Equality is often used in proofs to show that a segment or angle is congruent to itself, which can be a key step in proving that two triangles are congruent if they share a side or an angle.
Due to the lack of a specific diagram and the mention of pairs of triangles that do not appear to correspond to any recognizable geometry notation (like 'AACE'), I cannot determine with certainty which option is correct. In a typical situation, you would compare triangles by looking for corresponding equal sides and angles that can be used to establish congruence using postulates like SAS, SSS (Side-Side-Side), or ASA (Angle-Side-Angle).