Which congruence theroems could be given as reasons why ABC is congruent to LMN?

To determine that triangle ABC is congruent to triangle LMN, you could use several congruence theorems: the Side-Side-Side (SSS) theorem if all three pairs of corresponding sides are equal, the Side-Angle-Side (SAS) theorem if two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle, or the Angle-Side-Angle (ASA) theorem if two angles and the included side are equal. Additionally, the Angle-Angle-Side (AAS) theorem could be employed if two angles and a non-included side are equal. Lastly, the Hypotenuse-Leg (HL) theorem applies specifically to right triangles.