## Compositions of rotations, glide reflections, etc

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

$R_{B,\frac{\pi}{2}} \circ \gamma_{DC}$
$R_{D,\frac{\pi}{2}} \circ \gamma_{DC}$
$\gamma_{CB}\circ \gamma_{DC}$

For the first one, I eventually got $\gamma_{D'K'}$ 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.