Angle-Angle-Side Congruence means we have two different triangles, and two angles and one side of the first triangle is congruent to two angles and one side of the second triangle. The two congruent angles must be next to each other and the side must be next to one of the angles

(Angle-Angle-Side).

 

When AAS congruence exists this means that all of the other sides and angles will be congruent to each other, and so the two triangles will be congruent to each other.