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* from \"-!../../../../node_modules/mini-css-extract-plugin/dist/loader.js??ref--8-oneOf-1-0!../../../../node_modules/css-loader/index.js??ref--8-oneOf-1-1!../../../../node_modules/vue-loader/lib/loaders/stylePostLoader.js!../../../../node_modules/postcss-loader/src/index.js??ref--8-oneOf-1-2!../../../../node_modules/sass-loader/dist/cjs.js??ref--8-oneOf-1-3!../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=style&index=0&id=a1b8df06&prod&lang=scss&\"","var render = function render(){var _vm=this,_c=_vm._self._c;return _c('div',[_c('h3',{ref:\"intro\"},[_vm._v(\"\\n Parallel Lines\\n \")]),_vm._m(0),_c('h3',{ref:\"trans\"},[_vm._v(\"\\n Transversal Line\\n \")]),_vm._m(1),_c('h3',{ref:\"angles\"},[_vm._v(\"\\n Pair of Angles\\n \")]),_vm._m(2),_c('h3',{ref:\"pg\"},[_vm._v(\"\\n MagicGraph | Equality of Alternate Interior Angles\\n \")]),_vm._m(3),_vm._m(4),_c('p',[_vm._v(\" You can repeat the above steps any number of times to learn different scenarios. \")]),_c('br'),_c('v-responsive',[_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('div',{staticClass:\"edliy-box-about\",attrs:{\"id\":\"jxgbox1\"}})])],1)],1)\n}\nvar staticRenderFns = [function (){var _vm=this,_c=_vm._self._c;return _c('p',[_vm._v(\"\\n Let's say you are given two lines: AB & CD. \"),_c('br'),_c('br'),_vm._v(\"\\n If both of these lines sit on the same plane and always maintain\\n a constant distance from each other, then the two lines are said to be parallel to each other.\\n \"),_c('br'),_c('br'),_vm._v(\"\\n Mathematically, two lines that are parallel to each other are denoted as: AB || CD.\\n \"),_c('br'),_c('br'),_vm._v(\"\\n Parallel lines never intersect with each other.\\n \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',[_vm._v(\"\\n Imagine a line that intersects a set of parallel lines. Such a line is called a\\n transversal. \"),_c('br'),_c('br'),_vm._v(\"\\n The angles between transversal and a set of parallel lines can be grouped into pairs\\n and such pairs have special names — as we have discussed in the next section.\\n \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',[_vm._v(\"\\n Below are the names given to pair of angles.\\n \"),_c('ul',{staticStyle:{\"list-style-type\":\"square\"}},[_c('li',[_c('h5',[_vm._v(\"Corresponding Angles\")]),_vm._v(\"\\n The pair of angles that are \"),_c('i',[_vm._v(\"exterior\")]),_vm._v(\" (outside the parallel lines) and\\n are on the same side of the transversal.\\n \")]),_c('br'),_c('li',[_c('h5',[_vm._v(\"Alternate Interior Angles\")]),_vm._v(\"\\n The pair of angles that are \"),_c('i',[_vm._v(\"interior\")]),_vm._v(\" (between the parallel lines) and\\n on the \"),_c('i',[_vm._v(\"alternate\")]),_vm._v(\" side of the transversal.\\n \")]),_c('br'),_c('li',[_c('h5',[_vm._v(\"Alternate Exterior Angles\")]),_vm._v(\"\\n The pair of angles that are \"),_c('i',[_vm._v(\"exterior\")]),_vm._v(\" (outside of the parallel lines) and on\\n the \"),_c('i',[_vm._v(\"alternate\")]),_vm._v(\" side of the transversal.\\n \")]),_c('br'),_c('li',[_c('h5',[_vm._v(\"Consecutive Interior Angles\")]),_vm._v(\"\\n The pair of angles that are \"),_c('i',[_vm._v(\"interior\")]),_vm._v(\" (inside the parallel lines) and\\n are on the same side of the transversal.\\n \")])])])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',[_vm._v(\"\\n In this MagicGraph, we demonstrate an important theorem related to a pair parallel lines intersected by a transversal.\\n This theorem states — \"),_c('i',[_vm._v(\"\\n If two parallel lines are cut by a transversal,\\n the alternate interior angles are equal.\\n \")]),_c('br'),_c('br'),_vm._v(\"\\n The blue line is a line connecting points X and Y. Point X can be moved along x-axis only\\n while point Y can be moved along y-axis only.\\n \"),_c('br'),_c('br'),_vm._v(\"\\n The red line is a line that runs parallel to the blue line and passes through point P.\\n Point P can also be moved around.\\n \"),_c('br'),_c('br'),_vm._v(\"\\n The dotted green line is a transversal that intersects the blue and red lines at points X and P, respectively.\\n\\n The angles α and β are alternate interior angles made by the transveral.\\n \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('ul',{staticStyle:{\"list-style-type\":\"square\"}},[_c('li',[_c('h5',[_vm._v(\"Shifting the Blue Line\")]),_vm._v(\" You can shift the blue line by moving points X and Y. Note that point X can be dragged along x-axis only, while point Y can be dragged along y-axis only.\\n You will observe that two alternate interior angles always remain equal to each other no matter what positions you choose for points X and Y.\\n \")]),_c('br'),_c('li',[_c('h5',[_vm._v(\"Shifting the Red Line\")]),_vm._v(\" You can shift the red line by moving point P. You will find the two alternate angles are always equal no matter where point P is.\\n \")]),_c('br')])\n}]\n\nexport { render, staticRenderFns }","import {\r\n makeResponsive,\r\n placeTitle,\r\n placeImage,\r\n placeInput,\r\n placeSlider,\r\n hoverMe,\r\n placeRec,\r\n hiddenPt,\r\n fixedPt,\r\n clearInputFields,\r\n dragMe,\r\n placeArrow,\r\n placeGravity,\r\n placeText,\r\n placeMiddleText,\r\n placeLine,\r\n placePoint,\r\n placeGlider,\r\n placeRuler,\r\n placeLeftText,\r\n placeCircle,\r\n placeAngle,\r\n placeDash,\r\n placeLabel,\r\n placeRightText,\r\n//placePoint(board, positionX, positionY, size, cols1, cols2)\r\n//placeDash(board, Pt1, Pt2, width, cols)\r\n placeArc,\r\n placeLogo,\r\n placeErase,\r\n placeShuffle,\r\n placeTest,\r\n placeSeg,\r\n setConfig,\r\n placeStat\r\n} from '../../../common/edliy_utils-fractions';\r\nconst Boxes = {\r\n box1: function () {\r\n var brd1 = JXG.JSXGraph.initBoard('jxgbox1',{boundingbox: [-5, 15, 15, -5],keepaspectratio: true, axis:true, ticks:true, grid:true, showCopyright:false, showNavigation:false, pan:{enabled:false}, zoom:{enabled:false}});\r\n brd1.options.point.showInfoBox =false;\r\n brd1.options.image.highlight =false;\r\n brd1.options.layer['image']=12;\r\n brd1.options.layer['point']=13;\r\n placeTitle(brd1, 'Parallel Lines', '(Equality of Alternate Interior Angles)');\r\n makeResponsive(brd1);\r\n placeLogo(brd1);\r\n\t\t\t\tvar PtA =brd1.create('point', [4, 0],{name:'X', face:'circle',size:4, strokeColor:'black', fillColor:'yellow', label:{offset:[0, 15], anchorX:'middle', CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}}});\r\n\t\t\t\tvar PtB =brd1.create('point', [0, 4],{name:'Y', snapToGrid:false, face:'circle',size:4, strokeColor:'black', fillColor:'yellow', fixed:false, fillOpacity:1,label:{offset:[0, 15], anchorX:'middle', CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}}});\r\n var PtC =brd1.create('point', [6, 4],{name:'P',snapToGrid:false, face:'circle',size:4, strokeColor:'black', fillColor:'yellow', fillOpacity:1, label:{offset:[0, 15], anchorX:'middle', CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}}});\r\n var PtD =brd1.create('parallelpoint', [PtA, PtB, PtC], {visible:false});\r\n////////////////////////////////////////////////////////////////////////////////\r\n brd1.on('move', function(){\r\n PtA.moveTo([PtA.X(), 0]);\r\n PtB.moveTo([0, PtB.Y()]);});\r\n////////////////////////////////////////////////////////////////////////////////\r\n var Line1 = placeSeg(brd1, [()=>PtA.X(), ()=>PtA.Y()], [()=>PtB.X(), ()=>PtB.Y()], 4, 'blue');\r\n var Line2 = brd1.create('parallel', [Line1,PtC], setConfig(brd1, 4,'red'));\r\n var Line3 = placeSeg(brd1, [()=>PtB.X(), ()=>PtB.Y()], [()=>PtC.X(), ()=>PtC.Y()], 2, 'green');\r\n Line3.setAttribute({dash:1});\r\n////////////////////////////////////////////////////////////////////////////////\r\n var ang1 = placeAngle(brd1, PtA, PtB, PtC, 1.5,'grey');\r\n ang1.setAttribute({center:{visible:true}, radiusPoint:{visible:true},anglePoint:{visible:true}});\r\n///////////////////////////////////////////////////////\r\n var ang2 = placeAngle(brd1, PtB, PtC, PtD, 1.5,'grey');\r\n ang2.setAttribute({center:{visible:true}, radiusPoint:{visible:true},anglePoint:{visible:false}});\r\n///////////////////////////////////////////////////////////\r\n var analytics =placeShuffle(brd1);\r\n analytics.setLabel('Tap to Shuffle')\r\n analytics.label.setAttribute({visible:false, alignX:'middle', offset:[0, -15], CssStyle:'fontFamily:Oswald', fontSize:12});\r\n analytics.on('over', function () {this.label.setAttribute({visible:true});});\r\n analytics.on('out', function () {this.label.setAttribute({visible:false});});\r\n var erase = placeStat(brd1);\r\n erase.setLabel('Tap to Test Your Answer')\r\n erase.label.setAttribute({visible:false, alignX:'middle', offset:[0, -15], CssStyle:'fontFamily:Oswald', fontSize:12});\r\n erase.on('over', function () {this.label.setAttribute({visible:true});});\r\n erase.on('out', function () {this.label.setAttribute({visible:false});});\r\n //var moveA= brd1.create('point', [0,0],{name:'', fillOpacity:0.25, face:'circle',size:4, strokeColor:'black', fillColor:'yellow'});\r\n\t\t\t\t//var moveB= brd1.create('point', [0,0],{name:'', fillOpacity:0.25, face:'circle',size:4, strokeColor:'black', fillColor:'yellow'});\r\n\t\t\t//\tvar PtD =brd1.create('point', [3, 2],{name:'B (Drag me!)',snapToGrid:true, face:'circle',size:4, strokeColor:'black', fillColor:'yellow', fillOpacity:0.5, label:{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}}});\r\n\t\t\t\t//brd1.create('text', [function(){return PtB.X()*0.5-0.5*Math.sign(PtB.X());}, function(){return PtB.Y()*0.5+0.5;}, 'r_1'],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(12*brd1.canvasWidth/500.)}});\r\n\t\t\t\t//brd1.create('text', [()=>PtC.X()*0.5+0.5*PtB.X(), ()=>PtC.Y()*0.5+0.5*PtB.Y(), 'r_2'],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(12*brd1.canvasWidth/500.)}});\r\n\t\t\t\t//brd1.create('segment', [PtB, moveA], {strokeColor:'blue', dash:1});\r\n\t\t\t//\tbrd1.create('segment', [PtD, moveB], {strokeColor:'red', dash:1});\r\n\t\t\t\t//brd1.create('segment', [PtB, PtC], {visible:true, strokeColor:'blue', strokeWidth:3});\r\n\t\t\t\t//brd1.create('segment', [PtA, PtB], {visible:true, strokeColor:'red', strokeWidth:3});\r\n\t\t\t\t//brd1.create('arrow', [PtA, moveC], {strokeColor:'black', strokeWidth:3});\r\n\t\t\t//\tbrd1.create('text', [5, 11.5, function(){return 'OA = ('+ (PtB.X()).toFixed(2)+') + (' + (PtB.Y()).toFixed(2) +') '}],{color:'red', anchorX:'middle', CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(16*brd1.canvasWidth/500.)}});\r\n\t\t\t\t//var plus=brd1.create('image', ['/assets/addition.svg', [-5, -5.5],[0.8, 0.8]], {opacity:1, fixed:true});\r\n\t\t\t//\tbrd1.create('text', [5, 10., function(){return 'AB = ('+ (-PtB.X()+PtC.X()).toFixed(2) + ') + (' + (-PtB.Y()+PtC.Y()).toFixed(2) +') '}],{color:'blue', anchorX:'middle', CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(16*brd1.canvasWidth/500.)}});\r\n // brd1.create('text', [1, 8.5, function(){return 'OB =' }],{color:'blue', anchorX:'left', CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(16*brd1.canvasWidth/500.)}});\r\n // brd1.create('text', [5, 8.5, function(){return '  + ' }],{color:'blue', anchorX:'left', CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(16*brd1.canvasWidth/500.)}});\r\n // brd1.create('text', [8, 8.5, function(){return ' ' }],{color:'blue', anchorX:'left', CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(16*brd1.canvasWidth/500.)}});\r\n\r\n var rght = placeImage(brd1,'/assets/check.svg', 9, -4, 2, 0);\r\n rght.setAttribute({visible:false});\r\n var wrng = placeImage(brd1,'/assets/cross.svg', 9, -4, 2, 0);\r\n wrng.setAttribute({visible:false});\r\n //var xInp = placeInput(brd1, 3, 8.5, \"\");\r\n // var yInp = placeInput(brd1, 6, 8.5, \"\");\r\n brd1.create('text', [1, 11, function(){return 'α ='+ (ang1.Value()*180/Math.PI).toFixed(2) +'^o'}],{visible:true,CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(16*brd1.canvasWidth/500.)}});\r\n brd1.create('text', [6, 11, function(){return 'β ='+ (ang1.Value()*180/Math.PI).toFixed(2) +'^o'}],{visible:true,CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(16*brd1.canvasWidth/500.)}});\r\n\r\n //brd1.create('segment',[[-8, -7],[-2, -7]],{fixed:true, strokeColor:'black', strokeWidth:3});\r\n\t\t\t\t//var runb =function(){moveB.moveTo([PtB.X()+PtD.X(), PtB.Y()+PtD.Y()], 500)}\r\n\t\t\t\t//var runc =function(){moveA.moveTo([PtB.X()+PtD.X(), PtB.Y()+PtD.Y()], 500)}\r\n\t\t\t\t//var runa =function(){moveC.moveTo([PtB.X()+PtD.X(), PtB.Y()+PtD.Y()], 2000)}\r\n // var x =0; var y=0;\r\n analytics.on('down', function(){\r\n wrng.setAttribute({visible:false});\r\n rght.setAttribute({visible:false});\r\n clearInputFields(brd1);\r\n x =Math.round(4*Math.random())+3;\r\n y =Math.round(4*Math.random())+3;\r\n PtB.moveTo([x, y],100);\r\n PtC.moveTo([x+Math.round(2*Math.random())+2, y+Math.round(4*Math.random())-2], 100);});\r\n\t\t\t\t//PtB.on('drag',function(){j=0; moveC.moveTo([0,0]); moveA.moveTo([0,0]); moveB.moveTo([0,0])});\r\n\t\t\t //PtD.on('drag',function(){j=0; moveC.moveTo([0,0]); moveA.moveTo([0,0]); moveB.moveTo([0,0])});\r\n erase.on('down', function(){\r\n if(xInp.Value() == PtC.X() && yInp.Value() == PtC.Y()){\r\n rght.setAttribute({visible:true});\r\n wrng.setAttribute({visible:false})\r\n }\r\n else{\r\n rght.setAttribute({visible:false});\r\n wrng.setAttribute({visible:true})\r\n }\r\n })\r\n}}\r\nexport default Boxes;\r\n","\r\n\r\n\r\n","import mod from \"-!../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../node_modules/thread-loader/dist/cjs.js!../../../../node_modules/babel-loader/lib/index.js!../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"; export default mod; export * from \"-!../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../node_modules/thread-loader/dist/cjs.js!../../../../node_modules/babel-loader/lib/index.js!../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"","import { render, staticRenderFns } from \"./Lesson.vue?vue&type=template&id=a1b8df06&\"\nimport script from \"./Lesson.vue?vue&type=script&lang=js&\"\nexport * from \"./Lesson.vue?vue&type=script&lang=js&\"\nimport style0 from \"./Lesson.vue?vue&type=style&index=0&id=a1b8df06&prod&lang=scss&\"\n\n\n/* normalize component */\nimport normalizer from \"!../../../../node_modules/vue-loader/lib/runtime/componentNormalizer.js\"\nvar component = normalizer(\n script,\n render,\n staticRenderFns,\n false,\n null,\n null,\n null\n \n)\n\nexport default component.exports"],"sourceRoot":""}