For a dilation the sizes of the segments will change, so a, c and d can't be correct.
Option b is one of the correct ones, because it is said that dilation is by a scale factor of 2, so the new segments must be twice as the original ones.
On the other hand, option e is correct to, because the figure must be similar (meaning it must have the same shape). Therefore, slopes of the new segments of the figure must be the same as the original ones.