Given circle C with center (2,−2) and radius 2, circle D with center (0,3) and radius 6 Prove circle C is similar to circle D First, translate circle C so that point C maps to point D using the translation (x, y)→ . The image of circle C is circle C′ with center (0,3). Dilate circle C′ using center of dilation (0,3) and scale factor . This dilation maps circle C′ to circle . Because there is a similarity transformation that maps circle C to circle D, circle C is similar to circle D.