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2016 AMC 10A Question 16

AMC10 · 2016 AMC 10A

Question 16

A triangle with vertices $A(0, 2),$ $B(-3, 2),$ and $C(-3, 0)$ is reflected about the $x$-axis, then the image $\triangle A'B'C'$ is rotated counterclockwise about the origin by $90^{\circ}$ to produce $\triangle A''B''C''.$ Which of the following transformations will return $\triangle A''B''C''$ to $\triangle ABC?$
  1. counterclockwise rotation about the origin by
    $90^{\circ}$
  2. clockwise rotation about the origin by $90^{\circ}$
  3. reflection about the $x$-axis
  4. reflection about the line $y = x$
  5. reflection about the $y$-axis