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AMC 12 2019b Problem 3

  • Paper

Which one of the following rigid transformations (isometries) maps the line segment AB‾\overline{AB} onto the line segment A′B′‾\overline{A'B'} so that the image of A(−2,1)A(-2,1) is A′(2,−1)A'(2,-1) and the image of B(−1,4)B(-1,4) is B′(1,−4)?B'(1,-4)?

(A) \textbf{(A) } reflection in the yy-axis

(B) \textbf{(B) } counterclockwise rotation around the origin by 90∘90^{\circ}

(C) \textbf{(C) } translation by 33 units to the right and 55 units down

(D) \textbf{(D) } reflection in the xx-axis

(E) \textbf{(E) } clockwise rotation about the origin by 180∘180^{\circ}

Dataset text AMC 12 2000 to 2025. Quoted with source.

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E

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