Question

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

Answer 1

All circles are similar to each other because they can be transformed into one another through a uniform scaling (dilation) without altering their shapes, as all circles maintain the same angles at corresponding points and have a constant ratio of their diameters. This means that for any two circles, there exists a scale factor such that one can be resized to become indistinguishable from the other.