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...

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!!!

Dilation=change size

Translation=just moves

So isn't it all the choices? 

Maybe they made a mistake, because practice test books do it all the time..?

Thanks!

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Expert Answers
gsenviro eNotes educator| Certified Educator

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.

steveschoen eNotes educator| Certified Educator

It is circle.  All circles are similar.  Thus, one circle can be mapped to another circle.