Help! How would I draw this?

ABCD is a square.  M is the midpoint of CD.  Draw it!  Label the bottom left vertex A, and then work your way clockwise.

a) Is there a rotation about M that maps A to B?  Think about what you need in order to prove this.  Explain your steps.

b) Is there a rotation about M that maps A to C?  Explain, show steps.

c) Is there a reflection over some line that maps M to A?  If not, explain.  If yes, then draw it and explain.