// Numbas version: exam_results_page_options
{"name": "Create a JSXGraph diagram using JME code: Three triangle centres lie on a line", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Create a JSXGraph diagram using JME code: Three triangle centres lie on a line", "tags": [], "metadata": {"description": "<p>This demonstrates how to construct a JSXGraph diagram in JME code.</p>\n<p>The construction shows a triangle and its orthocentre, circumcentre and centroid. They are always collinear. You can move the vertices of the triangle.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>{triangle_diagram}</p>\n<p>This diagram was created using the following JME code:</p>\n<pre>jsxgraph(<br/>&nbsp; 600,600,<br/>&nbsp; [<br/>&nbsp;&nbsp;&nbsp; ['point',[-2,-2],[\"name\":\"A\"]],<br/>&nbsp;&nbsp;&nbsp; ['point',[2,-2],[\"name\":\"B\"]],<br/>&nbsp;&nbsp;&nbsp; ['point',[1,2],[\"name\":\"C\"]],<br/>&nbsp;&nbsp;&nbsp; ['circumcenter',['A','B','C'],[\"name\":\"circumcenter\"]],<br/>&nbsp;&nbsp;&nbsp; ['polygon',['A','B','C']],<br/>&nbsp;&nbsp;&nbsp; ['segment',['B','C'],['name':'side_A', \"visible\": false]],<br/>&nbsp;&nbsp;&nbsp; ['segment',['A','C'],['name':'side_B', \"visible\": false]],<br/>&nbsp;&nbsp;&nbsp; ['segment',['B','A'],['name':'side_C', \"visible\": false]],<br/>&nbsp;&nbsp;&nbsp; ['perpendicular',['side_A','A'], dotted_line+[\"name\": \"p_a\"] ],<br/>&nbsp;&nbsp;&nbsp; ['perpendicular',['side_B','B'], dotted_line+[\"name\": \"p_b\"] ],<br/>&nbsp;&nbsp;&nbsp; ['perpendicular',['side_C','C'], dotted_line+[\"name\": \"p_c\"] ],<br/>&nbsp;&nbsp;&nbsp; ['circle',['A','B','C'],[\"strokeOpacity\": 0.3]],<br/>&nbsp;&nbsp;&nbsp; ['midpoint',['A','B'],['name':'M_c', \"visible\": false]],<br/>&nbsp;&nbsp;&nbsp; ['midpoint',['A','C'],['name':'M_b', \"visible\": false]],<br/>&nbsp;&nbsp;&nbsp; ['midpoint',['C','B'],['name':'M_a', \"visible\": false]],<br/>&nbsp;&nbsp;&nbsp; ['line',['A','M_a'],dashed_line+[\"name\": \"median_a\"]],<br/>&nbsp;&nbsp;&nbsp; ['line',['B','M_b'],dashed_line+[\"name\": \"median_b\"]],<br/>&nbsp;&nbsp;&nbsp; ['line',['C','M_c'],dashed_line+[\"name\": \"median_c\"]],<br/>&nbsp;&nbsp;&nbsp; ['intersection',['median_a','median_b'],[\"name\":\"centroid\"]],<br/>&nbsp;&nbsp;&nbsp; ['intersection',['p_a','p_b'],[\"name\":\"orthocenter\"]],<br/>&nbsp;&nbsp;&nbsp; ['line',['centroid','orthocenter']]<br/>&nbsp; ],<br/>&nbsp; [<br/>&nbsp;&nbsp;&nbsp; \"axis\": false<br/>&nbsp; ]<br/>)</pre>", "advice": "", "rulesets": {}, "extensions": ["jsxgraph"], "variables": {"triangle_diagram": {"name": "triangle_diagram", "group": "Ungrouped variables", "definition": "jsxgraph(\n  600,600,\n  [\n    ['point',[-2,-2],[\"name\":\"A\"]],\n    ['point',[2,-2],[\"name\":\"B\"]],\n    ['point',[1,2],[\"name\":\"C\"]],\n    ['circumcenter',['A','B','C'],[\"name\":\"circumcenter\"]],\n    ['polygon',['A','B','C']],\n    ['segment',['B','C'],['name':'side_A', \"visible\": false]],\n    ['segment',['A','C'],['name':'side_B', \"visible\": false]],\n    ['segment',['B','A'],['name':'side_C', \"visible\": false]],\n    ['perpendicular',['side_A','A'], dotted_line+[\"name\": \"p_a\"] ],\n    ['perpendicular',['side_B','B'], dotted_line+[\"name\": \"p_b\"] ],\n    ['perpendicular',['side_C','C'], dotted_line+[\"name\": \"p_c\"] ],\n    ['circle',['A','B','C'],[\"strokeOpacity\": 0.3]],\n    ['midpoint',['A','B'],['name':'M_c', \"visible\": false]],\n    ['midpoint',['A','C'],['name':'M_b', \"visible\": false]],\n    ['midpoint',['C','B'],['name':'M_a', \"visible\": false]],\n    ['line',['A','M_a'],dashed_line+[\"name\": \"median_a\"]],\n    ['line',['B','M_b'],dashed_line+[\"name\": \"median_b\"]],\n    ['line',['C','M_c'],dashed_line+[\"name\": \"median_c\"]],\n    ['intersection',['median_a','median_b'],[\"name\":\"centroid\"]],\n    ['intersection',['p_a','p_b'],[\"name\":\"orthocenter\"]],\n    ['line',['centroid','orthocenter']]\n  ],\n  [\n    \"axis\": false\n  ]\n)", "description": "", "templateType": "anything"}, "dashed_line": {"name": "dashed_line", "group": "Ungrouped variables", "definition": "[\"dash\": 4, \"strokeOpacity\": 0.3, \"color\": \"gray\"]", "description": "", "templateType": "anything"}, "dotted_line": {"name": "dotted_line", "group": "Ungrouped variables", "definition": "dashed_line+[\"dash\":1]", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["triangle_diagram", "dashed_line", "dotted_line"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}