Question

hey there. im dead tired, and have been studying for quite a while my geometry in prep for my quiz tomorrow.
can someone explain the difference to me of
SSS, SAS, and ASA postulates? and AAS theorem.

Answer 1

for each of these acronyms pay attention to the letters involved, and the order

SSS = if two triangles both have three equal sides, they are congruent
SAS = if two triangles share two sides and the angle in between them (this is important, the angle has to be in between the sides) they are congruent
ASA = if two triangles share two equal measured angles, and the side in between them, they are congruent

Answer 2

note that SSA is not a valid theorem; if two triangles share two adjacent sides, but not the angle in between the sides, the two triangles are not necessarily congruent