### Video Summary:

Congruence Axioms
Side-Angle-Side (SAS) If two sides and the included angle of one triangle are equal, respectively, to two sides and the included angle of a second triangle, then the triangles are congruent.
Angle-Side-Angle (ASA) If two angles and the included side of one triangle are equal, respectively, to two angles and the included side of a second triangle, then the triangles are congruent.
Side-Side-Side (SSS) If three sides of one triangle are equal to three sides of a second triangle, the triangles are congruent. Case 1 One side and two angles known:
SAA or ASA
Case 2 Two sides and one angle not included
between the sides known:
SSA
This case may lead to more than one solution.
Case 3 Two sides and one angle included between
the sides known:
SAS
Case 4 Three sides are known:
SSS