I don't get this question?
This question doesn't even seem to make much sense to me. I'm guessing the answer is circle due to the circle being the only shape there with no corners, but it doesn't make sense!!!
So isn't it all the choices?
Maybe they made a mistake, because practice test books do it all the time..?
It is circle. All circles are similar. Thus, one circle can be mapped to another circle.
Ohh, I see now! Ha, same thing as before with orientation. Okay, got it now!
Translation refers to movement without change in orientation. There is no rotation and order of vertices and side lengths stays the same. So the shape stays the same, along with its orientation.
Dilation is simple scaling, so the shape is enlarged or reduced. So the shapes will stay the same, e.g., a triangle will be a triangle. However, the orientation may change depending on the dilation on the opposite side of center of dilation.
In the given case, Circle is the only choice where position with respect to center of dilation does not make a difference.
Therefore, I will go with Choice (3) circle to any other circle.
Hope this helps.