Circle 1 is centered at (5,8) and has a radius of 8 cm. circle 2 is centered at (1,-2) and has a radius of 4cm. the circles are similar because you can translate circle 1using the transformation rule and then dialate it using a scale factor of

From the given information:
Circle 1:
Center (5,8)
radius= 8 cm 

Circle 2:
Center (1,-2)
radius= 4 cm

The above circle are similar because you can translate Circle 1 using the transformation rule (-4,-10) translation and dilate it using a scale factor of 4/8=1/2

Yes you are correct