{"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\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?</p>&#10;<ul>&#10;<li>a square</li>&#10;<li>a rectangle that is not a square</li>&#10;<li>a rhombus that is not a square</li>&#10;<li>a parallelogram that is not a rectangle or a rhombus</li>&#10;<li>an isosceles trapezoid that is not a parallelogram</li>&#10;</ul>&#10;<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>&#10;", "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"}}