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2019 AMC 12B Question 3

AMC12 · 2019 AMC 12B

Question 3

Which one of the following rigid transformations (isometries) maps the line segment $\overline{AB}$ onto the line segment $\overline{A'B'}$ so that the image of $A(-2,1)$ is $A'(2,-1)$ and the image of $B(-1,4)$ is $B'(1,-4)?$
  1. reflection in the $y$-axis
  2. counterclockwise rotation around the origin by
    $90^\circ$
  3. translation by $3$ units to the right and $5$ units
    down
  4. reflection in the $x$-axis
  5. clockwise rotation about the origin by
    $180^\circ$