1. Side (SSS): Three sides correspond to the coincidence of two equal triangles.
2. Angular sides (SAS): Two sides and their included angles correspond to the coincidence of two triangles.
3. Angular edge (AAS): Two angles and one edge correspond to the congruence of two triangles.
4. Angle and Angle (ASA): Two angles and their sides correspond to the congruence of two triangles.
5.HL: In a right triangle, the hypotenuse and the right side correspond to the congruence of the two triangles.
Two false propositions
1. Three angles correspond to the coincidence of two equal triangles. American Automobile Association
2. Two sides and an angle correspond to the congruence of two triangles. Social Security Administration (social security administration)