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[tex]\tt Step-by-step~explanation:[/tex]
We could see that the size of both images does not change, so it is not a dilation. The image is not mirrored either, so it is not a reflection. Finally, the image does not seem to change place that much from the preimage, so it should not be a translation, either. That means our answer is a rotation, because the image rotated about 180º.
[tex]\large\boxed{\tt Our~final~answer:~Rotation}[/tex]