1. The problem asks which method can be used to prove the two triangles are congruent based on the given markings. 2. The markings show that one pair of corresponding sides are equal (indicated by the two short parallel lines) and one pair of corresponding angles are equal (indicated by the small arc). 3. To prove triangle congruence, common methods include: - ASA (Angle-Side-Angle): Two angles and the included side are equal. - SAS (Side-Angle-Side): Two sides and the included angle are equal. - AAS (Angle-Angle-Side): Two angles and a non-included side are equal. 4. Since only one side and one angle are marked, and no information about a second angle or side is given, we cannot confirm ASA, SAS, or AAS. 5. Therefore, based on the given information, it is NOT POSSIBLE to prove the triangles are congruent. Final answer: D) AAS is not supported, B) SAS is not supported, A) ASA is not supported, so the correct choice is C) NOT POSSIBLE.