How are these shortcuts (sss, sas, asa, and aas) similar to or different from those for proving triangle congruence?

This shortcuts (SSS, SAS, ASA, and AAS) is only a concept to determine is the triangle has a All sides, Side-Angle-Side, Angle-Side-Angle, or Angle-Angle-Side. It is not different from those proving triangle congruence because if the two triangles are congruent, all three corresponding sides are congruent and all three corresponding angles are congruent. ASA and AAS are important when solving proofs.

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