The flag and the dot both change from one figure to the next. Which answer figure should come next in the series?

The flag turns $45^{\circ }$ clockwise each step about the centre, and the dot jumps one corner anticlockwise (top-left, bottom-left, bottom-right, top-right). Next the flag hangs straight down with its cloth on the left, and the dot is back at the top-left: (d). (a) is the mirror image of the flag, not a turn of it.