2016 AMC 10A Problem 16


A triangle with vertices A(0,2)A(0, 2), B(3,2)B(-3, 2), and C(3,0)C(-3, 0) is reflected about the xx-axis, then the image ABC\triangle A'B'C' is rotated counterclockwise about the origin by 9090^{\circ} to produce ABC\triangle A''B''C''. Which of the following transformations will return ABC\triangle A''B''C'' to ABC\triangle ABC?

(A)\textbf{(A)} counterclockwise rotation about the origin by 9090^{\circ}.
(B)\textbf{(B)} clockwise rotation about the origin by 9090^{\circ}.
(C)\textbf{(C)} reflection about the xx-axis
(D)\textbf{(D)} reflection about the line y=xy = x
(E)\textbf{(E)} reflection about the yy-axis.

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Category: AMC 10A
Points: 3
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