The side-angle-side congruence theorem states that if you know that the lengths of two sides of two triangles are congruent and also that the angle between those sides has the same measure in both triangles, then the two triangles are congruent.
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SAS postulate or SSS postulate.
LL Congruence theorem says: If the two legs of one right triangle are congruent to the two legs of another right triangle, then the two right triangles are congruent.
LA Congruence Theorem says: If one leg and an acute angle of one right triangle are congruent to one leg and an acute angle of another right triangle, then the two right triangles are congruent.
they are all postulates or shortcuts on finding 2 triangles congruence, except that SAA does not exist.