Math, geometry Circles

Question

Very Confused please help!
Circle 1 is centered at (5,8) and has a radius of 8 centimeters. Circle 2 is centered at (1,−2) and has a radius of 4 centimeters. What transformations can be applied to Circle 1 to prove that the circles are similar? Enter your answers in the boxes.

The circles are similar because you can translate Circle 1 using the transformation rule (_ , _) and then dilate it using a scale factor of ( _ )

Answer 1

1. Translate the center from (5,8) to (1,-2).  The rule is (x-4,y-10).
2. The radius of circle 2 is one-half the radius of circle 1, so the dilation factor is 1/2.  Dilate about the center of circle 2.