AAS (or SAA) test : The sum of the measures of angles in a triangle is . Therefore, if two corresponding pairs of angles in two triangles are congruent, then the remaining pair of angles is also congruent. Hence, if two angles and a side adjacent to one of them are congruent with corresponding parts of the other triangle then the condition for ASA test is fulfilled. So the triangles are congruent. List the other such tests to prove the congruence of triangles.

The SSS or Side-Side-Side test: It determines whether all three related sides are the same length.
The SAS or Side-Angle-Side test: A pair of corresponding sides and the included angle are equal.
The ASA or Angle-Side-Angle test: A pair of corresponding angles and the included side are equal.
The AAS or Angle-Angle-Side test: It determines if two corresponding angles and one non-included side are identical.
The HL or Hypotenuse leg of a right triangle test: Two right triangles are congruent if the hypotenuse and one leg are equal.

Final answer:
Hence, the tests are SSS, SAS, ASA, AAS, and HL.