Based on your description, Figure 1 has specific coordinates that place its vertices. If you rotate and dilate Figure 1, it may alter its dimensions and orientation, potentially matching another figure.
Given that Figure 2 is described as being the same size as Figure 1, it likely maintains similar coordinates as a result of rotation or reflection rather than dilation since dilation increases or decreases the size. However, the specific positions of Figure 2 indicate it is shifted horizontally but not necessarily a direct transformation of Figure 1 through simple rotation and dilation.
Figure 3 is smaller and thus could not be a result of dilation from Figure 1 without altering the shape significantly.
Figure 4, being larger and angled, suggests that it has undergone rotation or a complex transformation that would not align with a direct dilation.
Thus, the most likely candidate resulting from rotating and dilating Figure 1 is Figure 2, since it is the only figure of the same size with potentially responsive transformation properties.
Therefore, the answer is Figure 2.