2016 AMC 10B Problem 20


A dilation of the plane-that is, a size transformation with a positive scale factor-sends the circle of radius 22 centered at A(2,2)A(2,2) to the circle of radius 33 centered at A(5,6)A'(5,6). What distance does the origin O(0,0)O(0,0), move under this transformation?

(A) 0(B) 3(C) 13(D) 4(E) 5\textbf{(A)}\ 0\qquad\textbf{(B)}\ 3\qquad\textbf{(C)}\ \sqrt{13}\qquad\textbf{(D)}\ 4\qquad\textbf{(E)}\ 5

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Category: AMC 10B
Points: 3
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