ASA is two corners and two sides,

SSS is three-sided,

AAS is the opposite side of two corners,

SAS is both sides and included angle,

These are all conditions. If they meet, the two triangles are congruent.

More specifically:

ASA is an angle, that is, the two angles of two triangles and the side sandwiched between them are equal respectively, so the two triangles are congruent.

SSS is edge to edge, that is, the three sides of two triangles are equal, so the two triangles are congruent.

When AAS is an angular side, that is, two angles of two triangles are equal to the opposite side of an angle, the two triangles are the same.

SAS is an angular edge, that is, the two sides of two triangles and the clamped angle are equal respectively, so the two triangles are congruent.

HL is the congruence of two right-angled triangles with equal hypotenuse and right-angled side. (Can be abbreviated as "HL") Prove the condition of two Rt△ congruences: one hypotenuse of two right-angled (Rt) triangles is equal to one right-angled side, then two right-angled (RT) triangles are congruent, abbreviated as HL "Remember: the premise is that right-angled triangle (RT) H is the abbreviation of hypotenuse, and L is the abbreviation of leg (right-angled side). ∴Rt △ABC ≌ Rt△ACB(HL)。