For example: if I have an image (red.png) that is a red box 75x50, I want to composite it at 50,50 on a 200x200 blank image with a 20 degree rotation. This is what I want:

This was as close as I could come:
convert blank.png red.png -background none -distort SRT "50,50 20" -composite blank.png
But that gave me:

Please help. This is driving me nuts!