Commutative transformation is type of transformation in which the order of operations doesn't affect the result of transformation. The only commutative transformation is D.
We are asked which transformation composition is COMMUTATIVE i.e. <em>we are asked to find that the resultant figure is independent of the operations applied to it in any order.</em>
Also we know that translation and rotation together are not commutative hence, A and B options are incorrect.
Also rotation and reflection applied to a figure are not commutative.
But a pair of reflection applied to a figure will be commutative
Hence, option: D is correct. (reflect across the y-axis and then reflect across the x-axis.)
