Circle X is shown with a center at negative 2, 8 and a radius of 6. Circle Y is shown with a center of 4, 2, and a radius of 3.
1. Move circle with center X, 2 units to the right, and 8 units down to produce a circle with radius 6 and center at the origin.
2. Dilate this circle with a factor of 1/2 (or compress this circle with a factor of 2) to produce a circle with a radius of 3.
3. Now move this circle 4 units to the right and 2 units up to produce circle Y.
Circle X can be transformed into circle Y by translations and a dilation, therefore the two circles are similar.
