Choose the congruence theorem that you would use to prove the triangles congruent. sss sas asa aas

- AAS congruence theorem.

Explanation:-

In the given question , there is only one theorem i.e. AAS theorem and all the remaining options (SSS ,SAS , ASA ) are postulate not theorem.

Therefore, AAS congruence theorem is the right answer.(as in the given picture both triangles have two equal angles and one side )

The AAS (angle-angle-side) theorem states that if two angles and any side of one triangle are equal to two angles and any side of another triangle, then the triangles are congruent.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction