Explain how to use the figure below and a sequence of similarity transformations to prove that all circles are similar
If you can map one figure onto another using similarity transformations, then the figures are similar.
1) Translate the center of the circle with radius q to the center of the circle with radius t.
Translations are considered to be an isometry, a specific type of transformation where the size and shape remain unaffected.
2) Dilate the circle with radius q about C by a factor of t/q