Explain how to use the figure below and a sequence of similarity transformations to prove that all circles are similar
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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