{"status": "success", "data": {"description_md": "The point $(-1, -2)$ is rotated $270^{\\circ}$ counterclockwise about the point $(3, 1)$. What are the coordinates of its new position?\n\n$\\textbf{(A) }\\ (-3, -4) \\qquad \\textbf{(B) }\\ (0,5) \\qquad \\textbf{(C) }\\ (2,-1) \\qquad \\textbf{(D) }\\ (4,3) \\qquad \\textbf{(E) }\\ (6,-3)$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The point  <span class=\"katex--inline\">(-1, -2)</span>  is rotated  <span class=\"katex--inline\">270^{\\circ}</span>  counterclockwise about the point  <span class=\"katex--inline\">(3, 1)</span> . What are the coordinates of its new position?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }\\ (-3, -4) \\qquad \\textbf{(B) }\\ (0,5) \\qquad \\textbf{(C) }\\ (2,-1) \\qquad \\textbf{(D) }\\ (4,3) \\qquad \\textbf{(E) }\\ (6,-3)</span> </p>&#10;<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": 2, "problem_name": "2022 AMC 12B Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc12B_p06", "prev": "/problem/22_amc12B_p04"}}