{"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&#34;B&#34;C&#34;</span> . Which of the following transformations will return  <span class=\"katex--inline\">\\triangle A&#34;B&#34;C&#34;</span>  to  <span class=\"katex--inline\">\\triangle ABC</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}</span>  counterclockwise rotation about the origin by  <span class=\"katex--inline\">90^{\\circ}</span> .<br/>\n <span class=\"katex--inline\">\\textbf{(B)}</span>  clockwise rotation about the origin by  <span class=\"katex--inline\">90^{\\circ}</span> .<br/>\n <span class=\"katex--inline\">\\textbf{(C)}</span>  reflection about the  <span class=\"katex--inline\">x</span> -axis<br/>\n <span class=\"katex--inline\">\\textbf{(D)}</span>  reflection about the line  <span class=\"katex--inline\">y = x</span> <br/>\n <span class=\"katex--inline\">\\textbf{(E)}</span>  reflection about the  <span class=\"katex--inline\">y</span> -axis.</p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "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"}}