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2023 AMC 10A Question 19

AMC10 · 2023 AMC 10A

Question 19

The line segment formed by $A(1, 2)$ and $B(3, 3)$ is rotated to the line segment formed by $A'(3, 1)$ and $B'(4, 3)$ about the point $P(r, s).$ What is $|r - s|?$
  1. $\dfrac{1}{4}$
  2. $\dfrac{1}{2}$
  3. $\dfrac{3}{4}$
  4. $\dfrac{2}{3}$
  5. $1$