We need to determine if the figures are congruent and if one or more of the given transformations map A onto B.
Notice that figure A is a trapezium with bases' lengths 1 and 3.
And figure B is a trapezium with bases' lengths 2 and 4. And both trapeziums have the same height 2.
Thus, the figures are not congruent, not even similar.
Since the listed transformations map to congruent images of A, none of them maps A onto B.
Therefore, they are NOT congruent and NONE of the transformations maps A onto B.