The rule that best represents the dilation is (x,y)→(x,y) with a scale factor of 4.5.
What is dilation?
Dilation is a type of transformation in which the diagram is reduced in size or enlarged. In dilation, only the size changes, the shape doesn't change.
In the given circle, the center of the circle doesn't change upon dilation.
This means that the rule of dilation of the center of the circle is (x,y)→(x,y) since the center is constant.
Now, we have to find the scale factor of the dilation.
Scale Factor = Radius of the dilated circle/ Radius of the original circle
= 9/2
= 4.5
We have found that the rule of dilation is (x,y)→(x,y) and the scale factor is 4.5.
Learn more about dilation here: https://brainly.com/question/3457976
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