{"status": "success", "data": {"description_md": "For how many of the following types of quadrilaterals does there exist a point in the plane of the quadrilateral that is equidistant from all four vertices of the quadrilateral?\n*a square\n*a rectangle that is not a square\n*a rhombus that is not a square\n*a parallelogram that is not a rectangle or a rhombus\n*an isosceles trapezoid that is not a parallelogram\n\n$\\textbf{(A) } 1 \\qquad\\textbf{(B) } 2 \\qquad\\textbf{(C) } 3 \\qquad\\textbf{(D) } 4 \\qquad\\textbf{(E) } 5$", "description_html": "<p>For how many of the following types of quadrilaterals does there exist a point in the plane of the quadrilateral that is equidistant from all four vertices of the quadrilateral?<br/>\n*a square<br/>\n*a rectangle that is not a square<br/>\n*a rhombus that is not a square<br/>\n*a parallelogram that is not a rectangle or a rhombus<br/>\n*an isosceles trapezoid that is not a parallelogram</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 1 \\qquad\\textbf{(B) } 2 \\qquad\\textbf{(C) } 3 \\qquad\\textbf{(D) } 4 \\qquad\\textbf{(E) } 5</span> </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": 1, "problem_name": "2019 AMC 10A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc10A_p07", "prev": "/problem/19_amc10A_p05"}}