Let A = (0,0), B = (1,0), C = (1,1), D = (0,1), P=(.5,.5). Identity the following

For the first one, I eventually got where D'= (0, .5) and K'=(-.5,0), but I don't think that's right...

The gammas are glide reflections, R's are rotations. Composition reads right to left, so the right-most one is performed first, etc, etc.