Triangle Congruencies:
Side - Side - Side = If the three corresponding sides of two triangles are congruent, then the triangles are congruent.
Side - Angle - Side = If the corresponding sides and one inclusive angle of two triangles are congruent, then the triangles are congruent.
Angle - Side - Angle = If the corresponding angles and one inclusive side of two triangles are congruent, then the triangles are congruent.
Angle - Angle - Side = If the corresponding angles and one non-inclusive side of two triangles are congruent, then the triangles are congruent.
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Triangle Similarity:
Angle - Angle - Angle = If the three corresponding angles of two triangles are congruent, then the triangles are similar.