The basic criteria let you assert that two triangles are congruent are SAS, SSA, ASA and SSS postulates. On the first one, you can say two triangles are congruent if there are two angels and the included side determined by them equally. The second postulate affirms that two sides alike and the opposite angle greater than them.
The third postulate (ASA) certifies that two triangles are congruent if they have two angles and the common side to them equal.
The postulate SSS states that two triangles are congruent if they have all his 3 sides respectively the same size.
According to this, using the ASA postulate, we can say: AM≅AM.