AMC 10 Step by Step

2016 AMC 10AProblem 16P16-20~3 minPrint

Transformations & Symmetry Coordinate Geometry Set up the equation/formula and compute; no special trick needed Test small/specific values or special cases to find or verify the answer

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 $\triangle ABC$ ?