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S will represent a pair of corresponding congruent sides.
A will represent a pair of corresponding congruent angles.
SAS, SSS, ASA, and AAS will all prove triangles congruent. Note, AAS is considered the same as SAA, so I have not listed SAA.
There is one triangle congruency proof that only works on right triangles. It is known as HL. H is for Hypotenuse and L is for leg. So if you have two right triangles and you know that the hypotenuses match as does one pair of legs, then the triangles are congruent.
1. SAS
2. SSS
3. ASA
4. AAS
5. HL