From A to B the small corner shapes move, but the shape in the middle does something different. Which answer figure goes with C?

Each corner shape moves one corner clockwise (the star from top-left to top-right, the circle from bottom-right to bottom-left), while the arrow in the middle does not change at all. So in C the square, dot and triangle each move one corner clockwise and the flag stays exactly as it is: (c). (a) turns the whole figure, flag included; (b) moves the corners anticlockwise; (d) turns only the flag.