I am reviewing for a final and am still unsure about angle angle side or side ang side or angle side angle. How do you know the correct wa to catorgize them?

When you're trying to prove congruency of TRIANGLES you use one of those.

ASA is Angle - Side - Angle, which means if two triangles have a corresponding angle, then a side, then another angle that are congruent in that order, then the triangle is congruent.

AAS is Angle-Angle-Side

SAS is Side-Angle-Side

SSS is Side-Side-Side

and finally HL, which stands for Hypotenuse-Leg. It only applies to right triangles.