what is the single transformation maps figure abcd onto figure a’b’c’d’

Looking at the figures, we can see that the quadrilaterals are not in the same orientation.
That means we need a rotation to transform ABCD into A'B'C'D'.
Then, we can also see that the points C and C' are the same, that means this point is the center of rotation.
Therefore the answer is a rotation about point C.