{"status": "success", "data": {"description_md": "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 $\\triangle ABC$?\n\n$\\textbf{(A)}$ counterclockwise rotation about the origin by $90^{\\circ}$. \n$\\textbf{(B)}$ clockwise rotation about the origin by $90^{\\circ}$. \n$\\textbf{(C)}$ reflection about the $x$-axis \n$\\textbf{(D)}$ reflection about the line $y = x$ \n$\\textbf{(E)}$ reflection about the $y$-axis.", "description_html": "<p>A triangle with vertices <span class=\"katex--inline\">A(0, 2)</span>, <span class=\"katex--inline\">B(-3, 2)</span>, and <span class=\"katex--inline\">C(-3, 0)</span> is reflected about the <span class=\"katex--inline\">x</span>-axis, then the image <span class=\"katex--inline\">\\triangle A'B'C'</span> is rotated counterclockwise about the origin by <span class=\"katex--inline\">90^{\\circ}</span> to produce <span class=\"katex--inline\">\\triangle A''B''C''</span>. Which of the following transformations will return <span class=\"katex--inline\">\\triangle A''B''C''</span> to <span class=\"katex--inline\">\\triangle ABC</span>?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}</span> counterclockwise rotation about the origin by <span class=\"katex--inline\">90^{\\circ}</span>.<br/>&#10;<span class=\"katex--inline\">\\textbf{(B)}</span> clockwise rotation about the origin by <span class=\"katex--inline\">90^{\\circ}</span>.<br/>&#10;<span class=\"katex--inline\">\\textbf{(C)}</span> reflection about the <span class=\"katex--inline\">x</span>-axis<br/>&#10;<span class=\"katex--inline\">\\textbf{(D)}</span> reflection about the line <span class=\"katex--inline\">y = x</span><br/>&#10;<span class=\"katex--inline\">\\textbf{(E)}</span> reflection about the <span class=\"katex--inline\">y</span>-axis.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2016 AMC 10A Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/16_amc10A_p17", "prev": "/problem/16_amc10A_p15"}}