1. The problem asks to identify which two options are NOT triangle congruence theorems from the list: SAS, AAS, AAA, ASA, SSA. 2. Triangle congruence theorems are rules that guarantee two triangles are congruent (exactly the same shape and size) based on certain side and angle combinations. 3. The common valid triangle congruence theorems are: - 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. - ASA (Angle-Side-Angle): Two angles and the included side are equal. 4. The options AAA (Angle-Angle-Angle) and SSA (Side-Side-Angle) are NOT congruence theorems: - AAA only guarantees similarity, not congruence, because the triangles can be the same shape but different sizes. - SSA does not guarantee congruence because it can produce ambiguous cases where two different triangles satisfy the condition. 5. Therefore, the two options that are NOT triangle congruence theorems are AAA and SSA. Final answer: AAA and SSA are NOT triangle congruence theorems.