1, three groups of congruences of two equilateral triangles (SSS or "edge-to-edge" for short), which also explains the stability of triangles. 2. There are two congruent triangles (SAS or "corner sides"), and the two sides and their included angles correspond to each other. 3. Two triangles with two corners are congruent with their clamping edges (ASA or "corners"). 4. Two corners of two triangles and the opposite side of one corner correspond to each other (AAS or "corner side") 5. The congruence conditions of right-angled triangles are as follows: hypotenuse and right-angled side (HL or "hypotenuse and right-angled side") SSS, SAS, ASA, AAS and HL corresponding to two right-angled triangles are all theorems for judging triangle congruence. Note: in the judgment of congruence, there are no AAA (angle angle) and SSA (side and angle) (special case: right triangle is HL, belonging to SSA), and neither of them can uniquely determine the shape of triangle. A is the abbreviation of English corner, and S is the abbreviation of English corner. H is the abbreviation of hypotenuse, and l is the abbreviation of leg. 6. Three median lines (or bisectors of height and angle) respectively correspond to the congruence of two equal triangles.