Translate a triangle and scale it in each coordinate direction

Consider a triangle with vertices in 2D plane given by (0, 0), (1, 0) and (0,1) (called unit triangle).  Translate it by (1, 1) and then scale in each coordinate direction by 1/2.  You get a triangle with vertices (1/2, 1/2), (1, 1/2) and (1/2, 1). Now if you first scale by 1/2 and then translate it by(1,1), you will get a different triangle with vertices (1,1), (3/2,1), (1,3/2) .