You can consider the triangle (as on in the picture) and apply to it composition of two transformations: 1. reflection about the line y=x to form ΔA'B'C' and translation 1 unit right and 5 units up to form ΔA''B''C''; 2. translation 1 unit right and 5 units up to form ΔA'B'C' and reflection about the line y=x to form ΔA''B''C''. You can see that results are different.
On added picture blue colour responds to composition of transformations 1 and red colour to composition of transformations 2.