Question

In 1–2 sentences, explain how it can be proven that all circles are similar to each other.(2 points)

make it simple

Answer 1

Take two circles with centers O1, O2 and radii r1, r2. Dilate the first circle about O1 by factor r2/r1 to get radius r2, then translate it to O2 — dilation and translation are similarity transformations, so the circles are similar.