If we know that two sets of corresponding angles and the corresponding included sides are congruent in two triangles what can we say about the triangles?

If two sets of corresponding angles and the corresponding included sides are congruent in two triangles, we can conclude that the triangles are congruent by the Angle-Side-Angle (ASA) postulate. This postulate states that if two angles and the included side of one triangle are respectively equal to two angles and the included side of another triangle, then the two triangles are congruent. Therefore, the triangles have the same shape and size.