Question

Circle 1 is centered at (−4,5) and has a radius of 2 centimeters. Circle 2 is centered at (2,1) and has a radius of 6 centimeters.
What transformations can be applied to Circle 1 to prove that the circles are similar?

Answer 1

To show that Circle 1 and Circle 2 are similar the  Translation and Dilation  should be applied. 
Transformation rule (2-(-4),(1,-5) ) =(6,-4)and then dilate it using a scale factor of (6/2=3).

Transformation rule (6,-4)and then dilate it using a scale factor of (3).