Question

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

Answer 1

Given two circles with radii r1 and r2, a dilation (homothety) centered at the first circle's center with scale factor r2/r1 maps that circle to the second, so their corresponding lengths are in proportion. Thus any two circles are similar (if needed, compose with a translation/rotation to match centers).