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geometry_proofs_1.html
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geometry_proofs_1.html
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<!DOCTYPE html>
<html data-require="math graphie graphie-helpers graphie-geometry math-format interactive proofs congruency">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>Geometry Proofs 1</title>
<script src="../khan-exercise.js"></script>
<style type="text/css">
.missingStatement {
width: 30px;
text-transform: uppercase;
}
.missingReason {
width: 150px;
}
</style>
</head>
<body>
<div class="exercise">
<div class="vars">
<var id="AB">new Seg("A","B")</var>
<var id="BA">AB</var>
<var id="AC">new Seg("A","C")</var>
<var id="CA">AC</var>
<var id="AD">new Seg("A","D")</var>
<var id="DA">AD</var>
<var id="AF">new Seg("A","F")</var>
<var id="FA">AF</var>
<var id="BC">new Seg("B","C")</var>
<var id="CB">BC</var>
<var id="BD">new Seg("B","D")</var>
<var id="DB">BD</var>
<var id="BE">new Seg("B","E")</var>
<var id="EB">BE</var>
<var id="CE">new Seg("C","E")</var>
<var id="EC">CE</var>
<var id="CF">new Seg("C","F")</var>
<var id="FC">CF</var>
<var id="DE">new Seg("D","E")</var>
<var id="ED">DE</var>
<var id="DF">new Seg("D","F")</var>
<var id="FD">DF</var>
<var id="EF">new Seg("E","F")</var>
<var id="FE">EF</var>
<var id="SEGS">[AB,BA,AC,CA,AD,DA,AF,FA,BC,CB,BD,DB,BE,EB,CE,EC,CF,FC,DE,ED,DF,FD,EF,FE]</var>
<var id="ang1">new Ang("B","A","C")</var>
<var id="ang2">new Ang("A","B","C")</var>
<var id="ang3">new Ang("A","C","B")</var>
<var id="ang4">new Ang("D","B","E")</var>
<var id="ang5">new Ang("E","B","C")</var>
<var id="ang6">new Ang("B","C","E")</var>
<var id="ang7">new Ang("E","C","F")</var>
<var id="ang8">new Ang("B","D","E")</var>
<var id="ang9">new Ang("B","E","D")</var>
<var id="ang10">new Ang("B","E","C")</var>
<var id="ang11">new Ang("C","E","F")</var>
<var id="ang12">new Ang("C","F","E")</var>
<var id="ANGS">[ang1, ang2, ang3, ang4, ang5, ang6, ang7, ang8, ang9, ang10, ang11, ang12]</var>
<var id="SUPPLEMENTARY_ANGS">[addAngs(ang2, addAngs(ang5, ang4)), addAngs(ang3, addAngs(ang6, ang7)), addAngs(ang9, addAngs(ang10,ang11))]</var>
<var id="ALTERNATE_INTERIOR_ANGS">[[ang5, ang9], [ang6, ang11]]</var>
<var id="ABC">new Triang([AB, BC, CA], [ang2, ang3, ang1])</var>
<var id="BDE">new Triang([BD, DE, EB], [ang8, ang9, ang4])</var>
<var id="BCE">new Triang([BC, CE, EB], [ang6, ang10, ang5])</var>
<var id="CEF">new Triang([CE, EF, FC], [ang11, ang12, ang7])</var>
<var id="ADF">new Triang([AD, DF, FA], [ang8, ang12, ang1])</var>
<var id="TRIANGLES">[ABC, BDE, BCE, CEF]</var>
<var id="STATEMENTS">initProof(SEGS, ANGS, TRIANGLES, SUPPLEMENTARY_ANGS, ALTERNATE_INTERIOR_ANGS, 3, 0.25, "all")</var>
<var id="KNOWN">STATEMENTS[0]</var>
<var id="FINISHED">STATEMENTS[1]</var>
<var id="FILL_BLANKS_STUFF">outputFillBlanksProof()</var>
<var id="FILL_BLANKS_PROOF">FILL_BLANKS_STUFF[0]</var>
<var id="FILL_BLANKS_NUM">FILL_BLANKS_STUFF[1]</var>
</div>
<div class="problem">
<p class="question"> <code> \overline{BC} </code> is parallel to <code> \overline{DF} </code>. Figure not drawn to scale. </p>
<div class="graphie">
init({
range: [[-5, 5], [-5, 5]],
scale: 40
});
addMouseLayer();
graph.congruency = addCongruency({ y1: -0.7, y2: 10.7 });
graph.congruency.addPoint("A", [0, 4]);
graph.congruency.addPoint("B", [-2, 0]);
graph.congruency.addPoint("C", [2, 0]);
graph.congruency.addPoint("D", [-4, -4]);
graph.congruency.addPoint("E", [0, -4]);
graph.congruency.addPoint("F", [4, -4]);
graph.congruency.addLine({
start: "A",
end: "B",
clickable: true,
maxState: 3
});
graph.congruency.addLine({
start: "A",
end: "C",
clickable: true,
maxState: 3
});
graph.congruency.addLine({
start: "A",
end: "D",
clickable: true,
maxState: 3
});
graph.congruency.addLine({
start: "A",
end: "F",
clickable: true,
maxState: 3
});
graph.congruency.addLine({
start: "B",
end: "C",
clickable: true,
maxState: 3
});
graph.congruency.addLine({
start: "B",
end: "D",
clickable: true,
maxState: 3
});
graph.congruency.addLine({
start: "B",
end: "E",
clickable: true,
maxState: 3
});
graph.congruency.addLine({
start: "C",
end: "E",
clickable: true,
maxState: 3
});
graph.congruency.addLine({
start: "C",
end: "F",
clickable: true,
maxState: 3
});
graph.congruency.addLine({
start: "D",
end: "E",
clickable: true,
maxState: 3
});
graph.congruency.addLine({
start: "D",
end: "F",
clickable: true,
maxState: 3
});
graph.congruency.addLine({
start: "E",
end: "F",
clickable: true,
maxState: 3
});
graph.congruency.addAngles("A", { maxState: 3 });
graph.congruency.addAngles("B", { maxState: 3 });
graph.congruency.addAngles("C", { maxState: 3 });
graph.congruency.addAngles("D", { maxState: 3 });
graph.congruency.addAngles("E", { maxState: 3 });
graph.congruency.addAngles("F", { maxState: 3 });
graph.congruency.addAngle("BAC", { maxState: 3 });
graph.congruency.addAngle("EDB", { maxState: 3 });
graph.congruency.addAngle("CFE", { maxState: 3 });
for(var angle in graph.congruency.angles){
graph.congruency.angles[angle].setSelectedStyle({
stroke: "black",
"stroke-width": 3
});
}
graph.congruency.addLabel("A", "above");
graph.congruency.addLabel("B", "left");
graph.congruency.addLabel("C", "right");
graph.congruency.addLabel("D", "below");
graph.congruency.addLabel("E", "below");
graph.congruency.addLabel("F", "below");
var hintsLeft = FILL_BLANKS_NUM*2;
$(".missingStatement").keyup(function(){
if(checkFillBlanksStatement($(this).parent()[0].id)){
FILL_BLANKS_NUM--;
if(hintsLeft > FILL_BLANKS_NUM*2){
var stepsLeft = FILL_BLANKS_NUM*2 + " step" + (FILL_BLANKS_NUM === 1 ? "" : "s") + " left";
$("#hint").val("I'd like a hint (" + stepsLeft + ")");
giveAway = false;
hintsLeft = FILL_BLANKS_NUM*2;
if(hintsLeft === 0){
$("#hint").attr("disabled", true);
}
}
}
});
$(".missingReason").change(function(){
if(checkFillBlanksReason($(this), this.id)){
FILL_BLANKS_NUM--;
if(hintsLeft > FILL_BLANKS_NUM*2){
var stepsLeft = FILL_BLANKS_NUM*2 + " step" + (FILL_BLANKS_NUM === 1 ? "" : "s") + " left";
$("#hint").val("I'd like a hint (" + stepsLeft + ")");
giveAway = false;
hintsLeft = FILL_BLANKS_NUM*2;
if(hintsLeft === 0){
$("#hint").attr("disabled", true);
}
}
}
});
var giveAway = false;
$("#hint").click(function(){
if(hintsLeft > 0){
hintsLeft--;
if(!giveAway){
var stepsLeft = hintsLeft + " step" + (FILL_BLANKS_NUM === 1 ? "" : "s") + " left";
$(this).val("I'd like a hint (" + stepsLeft + ")");
$(this).attr("disabled", false);
$(".actualHints").append("<p>"+getFillBlanksHint(false)+"</p>");
_.each($(".actualHints code"), function(tag){ $.tmpl.type.code()(tag); });
giveAway = true;
}
else{
var stepsLeft = hintsLeft + " step" + (FILL_BLANKS_NUM === 1 ? "" : "s") + " left";
$(this).val("I'd like a hint (" + stepsLeft + ")");
$(this).attr("disabled", false);
$(".actualHints").append("<p>"+getFillBlanksHint(true)+"</p>");
_.each($(".actualHints code"), function(tag){ $.tmpl.type.code()(tag); });
giveAway = false;
}
if(hintsLeft === 0){
$("#hint").attr("disabled", true);
}
}
});
for(var line in graph.congruency.lines){
for(var line2 in graph.congruency.lines){
(function() {
var $statement = $("."+line+"-"+line2);
var firstLine = graph.congruency.lines[line];
var secondLine = graph.congruency.lines[line2];
if($statement.length > 0){
$statement.live("vmouseover", function(event) {
firstLine.setHighlighted({
stroke: ORANGE,
"stroke-width": 3
});
secondLine.setHighlighted({
stroke: BLUE,
"stroke-width": 3
});
$(this).bind("vmouseout", function(event) {
firstLine.unsetHighlighted({
stroke: "black",
"stroke-width": 2
});
secondLine.unsetHighlighted({
stroke: "black",
"stroke-width": 2
});
});
});
secondLine.unsetHighlighted({
stroke: "black",
"stroke-width": 2
});
}
})();
}
}
for(var angle in graph.congruency.angles){
for(var angle2 in graph.congruency.angles){
(function(){
var $statement = $("."+angle+"-"+angle2);
var firstAngle = graph.congruency.angles[angle];
var secondAngle = graph.congruency.angles[angle2];
if($statement.length > 0){
$statement.live("vmouseover", function(event) {
var firstState = firstAngle.state;
var secondState = secondAngle.state;
var maxState = Math.max(firstState,secondState);
firstAngle.setHighlighted({
stroke: ORANGE,
"stroke-width": 3
});
secondAngle.setHighlighted({
stroke: BLUE,
"stroke-width": 3
});
firstAngle.setState(maxState > 0 ? maxState : 1);
secondAngle.setState(maxState > 0 ? maxState : 1);
$(this).bind("vmouseout", function(event) {
firstAngle.unsetHighlighted({
stroke: "black",
"stroke-width": 2
});
secondAngle.unsetHighlighted({
stroke: "black",
"stroke-width": 2
});
firstAngle.setState(firstState);
secondAngle.setState(secondState);
});
});
}
})();
}
}
for(var line in graph.congruency.lines){
(function(){
var $statements = $("."+line);
for(var i = 0; i<$statements.length; i++){
var highlightLine = graph.congruency.lines[line];
var highlightDiv = $($statements[i]);
highlightDiv.live("vmouseover", function(event) {
highlightLine.setHighlighted({
stroke: ORANGE,
"stroke-width": 3
});
$(this).bind("vmouseout", function(event) {
highlightLine.unsetHighlighted({
stroke: "black",
"stroke-width": 2
});
});
});
}
})();
}
for(var line in graph.congruency.lines){
(function(){
var $statements = $("."+line + "2");
for(var i = 0; i<$statements.length; i++){
var highlightLine = graph.congruency.lines[line];
var highlightDiv = $($statements[i]);
highlightDiv.live("vmouseover", function(event) {
highlightLine.setHighlighted({
stroke: BLUE,
"stroke-width": 3
});
$(this).bind("vmouseout", function(event) {
highlightLine.unsetHighlighted({
stroke: "black",
"stroke-width": 2
});
});
});
}
})();
}
</div>
</div>
<div class="problems">
<div>
<div class="question">
</div>
<div class="statements"> <var> FILL_BLANKS_PROOF </var>
</div>
<div class="actualHints">
</div>
<div class="solution" data-type="custom">
<div class="instruction">
Fill in the blanks in this proof that <var> FINISHED </var>.
</div>
<div class="guess">1</div>
<div class="validator-function">
return FILL_BLANKS_NUM==0;
</div>
<div class="show-guess">
return outputKnownProof();
</div>
</div>
<div class="hints">
<p></p>
<p></p>
</div>
</div>
</div>
</div>
</body>
</html>