// Numbas version: finer_feedback_settings
{"name": "Midpoint", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Midpoint", "tags": [], "metadata": {"description": "<p>Calculate the&nbsp;midpoint of two points.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Fill in the blanks.</p>", "advice": "", "rulesets": {}, "extensions": ["jsxgraph"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"xa1": {"name": "xa1", "group": "Ungrouped variables", "definition": "l[0]", "description": "", "templateType": "anything", "can_override": false}, "ya": {"name": "ya", "group": "Ungrouped variables", "definition": "(ya1+ya2)/2", "description": "", "templateType": "anything", "can_override": false}, "xa": {"name": "xa", "group": "Ungrouped variables", "definition": "(xa1+xa2)/2", "description": "", "templateType": "anything", "can_override": false}, "ya2": {"name": "ya2", "group": "Ungrouped variables", "definition": "l[3]", "description": "", "templateType": "anything", "can_override": false}, "xa2": {"name": "xa2", "group": "Ungrouped variables", "definition": "l[1]", "description": "<p>xa</p>", "templateType": "anything", "can_override": false}, "l": {"name": "l", "group": "Ungrouped variables", "definition": "shuffle(-12..12)[0..4]", "description": "<p>l</p>", "templateType": "anything", "can_override": false}, "ya1": {"name": "ya1", "group": "Ungrouped variables", "definition": "l[2]", "description": "", "templateType": "anything", "can_override": false}, "ints": {"name": "ints", "group": "Ungrouped variables", "definition": "1|xa and 1|ya", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["l", "xa1", "xa2", "ya1", "ya2", "xa", "ya", "ints"], "variable_groups": [], "functions": {"line_and_2points": {"parameters": [], "type": "html", "language": "javascript", "definition": "\nvar div = Numbas.extensions.jsxgraph.makeBoard('600px','600px',{boundingBox:[-13,13,13,-13],grid:true,axis:false});\nvar board = div.board;\n\n// create the x-axis.\nvar xaxis = board.create('line',[[0,0],[1,0]], { strokeColor: 'black', fixed: true});\nvar xticks = board.create('ticks',[xaxis,2],{\n  drawLabels: true,\n  label: {offset: [-4, -10]},\n  minorTicks: 0\n});\n\n// create the y-axis\nvar yaxis = board.create('line',[[0,0],[0,1]], { strokeColor: 'black', fixed: true });\nvar yticks = board.create('ticks',[yaxis,2],{\ndrawLabels: true,\nlabel: {offset: [-20, 0]},\nminorTicks: 0\n});\n\n\nx0 = Numbas.jme.unwrapValue(scope.variables.xa1);\ny0 = Numbas.jme.unwrapValue(scope.variables.ya1);\nx1 = Numbas.jme.unwrapValue(scope.variables.xa2);\ny1 = Numbas.jme.unwrapValue(scope.variables.ya2);\n\nboard.create('point',[x0,y0],{fixed:true,withLabel:false});\nboard.create('point',[x1,y1],{fixed:true,withLabel:false});\nboard.create('point',[(x0+x1)/2,(y0+y1)/2],{fixed:true,withLabel:false});\n\n\nboard.create('text',[(x0+x1)/2+0.5,(y0+y1)/2,'The midpoint']);\n\n\nreturn div;"}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The midpoint of $(\\var{xa1},\\var{ya1})$ and $(\\var{xa2},\\var{ya2})$ is $\\large($[[0]], [[1]]$\\large)$.</p>", "stepsPenalty": "2", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>{line_and_2points()}</p>\n<p></p>\n<p>The midpoint of two points is simply the point whose $x$ coordinate is the average of the other $x$ coordinates, and whose $y$ coordinate is the average of the other $y$ coordinates. That is, the midpoint of $(\\var{xa1},\\var{ya1})$ and $(\\var{xa2},\\var{ya2})$ is the point <span data-jme-visible=\"!ints\">$\\left(\\simplify[basic]{({xa1}+{xa2})/2},\\simplify[basic]{({ya1}+{ya2})/2}\\right)=\\left(\\simplify{({xa1}+{xa2})/2},\\simplify{({ya1}+{ya2})/2}\\right)=\\left(\\simplify{{(xa1+xa2)/2}},\\simplify{{(ya1+ya2)/2}}\\right)$.</span><span data-jme-visible=\"ints\">$\\left(\\simplify[basic]{({xa1}+{xa2})/2},\\simplify[basic]{({ya1}+{ya2})/2}\\right)=\\left(\\simplify{{(xa1+xa2)/2}},\\simplify{{(ya1+ya2)/2}}\\right)$.</span></p>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "xa", "maxValue": "xa", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "ya", "maxValue": "ya", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}], "resources": []}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}