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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2022_AMC_12B_Problems/Problem_5 / What is the sum of the x and y coordinates of the new position of the point…

Problem

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problem

What is the sum of the x and y coordinates of the new position of the point (1,2)(-1, -2) after rotating 270270^{\circ} counterclockwise about the point (3,1)(3, 1)?
Plain-text mathematical notation (without MathML)
What is the sum of the x and y coordinates of the new position of the point (−1,−2) after rotating 270^(∘) counterclockwise about the point (3,1)?
Original LaTeX notation
What is the sum of the x and y coordinates of the new position of the point $(-1, -2)$ after rotating $270^{\circ}$ counterclockwise about the point $(3, 1)$?

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