Make a Linear Function
2017-11-20 14:39
This applet demonstrates how to construct and explore linear functions in GeoGebra. By defining geometric objects such as points, segments, and polygons, combined with coordinates and vectors, it visually illustrates the graphical characteristics and geometric transformations of linear functions. Ideal for understanding function graphs, coordinate systems, and basic geometric constructions, helpin
In collections
初中函数
Loading the GeoGebra board and drawing, please wait…
<?xml version="1.0" encoding="utf-8"?>
<geogebra format="5.0" version="5.0.400.0" app="classic" platform="w" id="bf8a9863-9f09-4b80-9ccd-c3b5f50b426d" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="993" height="516" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.9979859013091642" orientation="1" />
</panes>
<views>
<view id="512" toolbar="0 | 1 501 5 19 , 67 | 2 15 45 18 , 7 37 | 514 3 9 , 13 44 , 47 | 16 | 551 550 11 , 20 22 21 23 , 55 56 57 , 12 | 69 | 510 511 , 512 513 | 533 531 , 534 532 , 522 523 , 537 536 , 535 | 521 520 | 36 , 38 49 560 | 571 30 29 570 31 33 | 17 | 540 40 41 42 , 27 28 35 , 6 , 502" visible="false" inframe="false" stylebar="false" location="1,1,1" size="500" window="100,100,600,400" />
<view id="8" toolbar="1001 | 1002 | 1003 || 1005 | 1004 || 1006 | 1007 | 1010 || 1008 1009 || 66 68 || 6" visible="false" inframe="false" stylebar="false" location="1,3" size="300" window="100,100,600,400" />
<view id="4097" visible="false" inframe="true" stylebar="true" location="1,1" size="469" window="1650,111,928,644" />
<view id="1" visible="true" inframe="false" stylebar="true" location="3" size="991" window="100,100,600,400" />
<view id="4" toolbar="0 || 2020 , 2021 , 2022 , 66 || 2001 , 2003 , 2002 , 2004 , 2005 || 2040 , 2041 , 2042 , 2044 , 2043" visible="false" inframe="false" stylebar="true" location="1" size="295" window="100,100,600,400" />
<view id="2" visible="false" inframe="true" stylebar="true" location="3" size="227" window="1711,109,448,632" />
<view id="16" visible="false" inframe="false" stylebar="false" location="1" size="150" window="50,50,500,500" />
<view id="32" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="64" toolbar="0" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="128" visible="false" inframe="true" stylebar="false" location="1" size="480" window="50,50,500,500" />
<view id="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="43" visible="false" inframe="false" stylebar="false" location="1" size="450" window="50,50,500,500" />
</views>
<toolbar show="false" items="0 39 | 1 501 67 , 5 19 , 72 75 76 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24 20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49 50 , 71 | 30 29 54 32 31 33 | 17 26 62 73 , 14 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 6" position="1" help="false" />
<input show="false" cmd="true" top="algebra" />
<dockBar show="false" east="false" />
</perspective>
</perspectives>
<labelingStyle val="0"/>
<font size="12"/>
</gui>
<euclidianView>
<viewNumber viewNo="1"/>
<size width="991" height="514"/>
<coordSystem xZero="171.40000000000057" yZero="335.15779999999995" scale="47.849999999999966" yscale="47.849999999999966"/>
<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="0" rightAngleStyle="1" checkboxSize="26" gridType="0" lockedAxesRatio="1"/>
<bgColor r="255" g="255" b="255"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="0"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<grid distX="0.2" distY="0.2" distTheta="0.5235987755982988"/>
</euclidianView>
<kernel>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="0" spreadsheet="0"/>
<coordStyle val="0"/>
</kernel>
<scripting blocked="false" disabled="false"/>
<construction title="" author="" date="">
<expression label="text1" exp=""1""/>
<element type="text" label="text1">
<show object="true" label="true" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="1"/>
<startPoint exp="A"/>
<labelOffset x="-14" y="18"/>
</element>
<element type="point" label="A">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<isShape val="false"/>
<ggbscript onUpdate="checker=false"/>
<coords x="-2.9" y="6" z="1"/>
<pointSize val="1"/>
<pointStyle val="3"/>
</element>
<element type="point" label="B">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0"/>
<layer val="0"/>
<labelOffset x="-12" y="10"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<isShape val="false"/>
<ggbscript onUpdate="checker=false"/>
<coords x="-1.9" y="6" z="1"/>
<pointSize val="1"/>
<pointStyle val="3"/>
</element>
<element type="point" label="C">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<isShape val="false"/>
<ggbscript onUpdate="checker=false"/>
<coords x="-0.9" y="6" z="1"/>
<pointSize val="1"/>
<pointStyle val="3"/>
</element>
<element type="point" label="D">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<isShape val="false"/>
<ggbscript onUpdate="checker=false"/>
<coords x="0.1" y="6" z="1"/>
<pointSize val="1"/>
<pointStyle val="3"/>
</element>
<element type="point" label="E">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<isShape val="false"/>
<ggbscript onUpdate="checker=false"/>
<coords x="1.1" y="6" z="1"/>
<pointSize val="1"/>
<pointStyle val="3"/>
</element>
<element type="point" label="F">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<isShape val="false"/>
<ggbscript onUpdate="checker=false"/>
<coords x="2.1" y="6" z="1"/>
<pointSize val="1"/>
<pointStyle val="3"/>
</element>
<element type="point" label="G">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0"/>
<layer val="0"/>
<labelOffset x="16" y="-4"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<isShape val="false"/>
<ggbscript onUpdate="checker=false"/>
<coords x="3.1" y="6" z="1"/>
<pointSize val="1"/>
<pointStyle val="3"/>
</element>
<element type="point" label="H">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<isShape val="false"/>
<ggbscript onUpdate="checker=false"/>
<coords x="4.1" y="6" z="1"/>
<pointSize val="1"/>
<pointStyle val="3"/>
</element>
<element type="point" label="I">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<isShape val="false"/>
<ggbscript onUpdate="checker=false"/>
<coords x="5.1" y="6" z="1"/>
<pointSize val="1"/>
<pointStyle val="3"/>
</element>
<expression label="text2" exp=""2""/>
<element type="text" label="text2">
<show object="true" label="true" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="1"/>
<startPoint exp="B"/>
<labelOffset x="-14" y="18"/>
</element>
<expression label="text3" exp=""3""/>
<element type="text" label="text3">
<show object="true" label="true" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="1"/>
<startPoint exp="C"/>
<labelOffset x="-13" y="18"/>
</element>
<expression label="text4" exp=""4""/>
<element type="text" label="text4">
<show object="true" label="true" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="1"/>
<startPoint exp="D"/>
<labelOffset x="-15" y="18"/>
</element>
<expression label="text5" exp=""5""/>
<element type="text" label="text5">
<show object="true" label="true" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="1"/>
<startPoint exp="E"/>
<labelOffset x="-14" y="18"/>
</element>
<expression label="text6" exp=""6""/>
<element type="text" label="text6">
<show object="true" label="true" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="1"/>
<startPoint exp="F"/>
<labelOffset x="-14" y="17"/>
</element>
<expression label="text7" exp=""7""/>
<element type="text" label="text7">
<show object="true" label="true" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="1"/>
<startPoint exp="G"/>
<labelOffset x="-14" y="17"/>
</element>
<command name="Polygon">
<input a0="(1.3, 0)" a1="(2.2, 0)" a2="4"/>
<output a0="poly2"/>
</command>
<element type="polygon" label="poly2">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0.8" dynamicr="(0.745 * (1 - colorChangeTimer)) + (0.8 * colorChangeTimer)" dynamicg="(0.745 * (1 - colorChangeTimer)) + (0.36 * colorChangeTimer)" dynamicb="(0.745 * (1 - colorChangeTimer)) + (0.36 * colorChangeTimer)" dynamica="0.8" colorSpace="0"/>
<layer val="0"/>
<labelOffset x="-11" y="25"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<command name="Polygon">
<input a0="(1.3, 1)" a1="(2.2, 1)" a2="4"/>
<output a0="poly5"/>
</command>
<element type="polygon" label="poly5">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0.8" dynamicr="(0.745 * (1 - colorChangeTimer)) + colorChangeTimer" dynamicg="(0.745 * (1 - colorChangeTimer)) + (0.84 * colorChangeTimer)" dynamicb="(0.745 * (1 - colorChangeTimer)) + (0 * colorChangeTimer)" dynamica="0.8" colorSpace="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<expression label="text8" exp=""8""/>
<element type="text" label="text8">
<show object="true" label="true" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="1"/>
<startPoint exp="H"/>
<labelOffset x="-13" y="17"/>
</element>
<command name="Polygon">
<input a0="(0, 0)" a1="(0.9, 0)" a2="4"/>
<output a0="poly1"/>
</command>
<element type="polygon" label="poly1">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0.8" dynamicr="(0.745 * (1 - colorChangeTimer)) + (0.8 * colorChangeTimer)" dynamicg="(0.745 * (1 - colorChangeTimer)) + (0.36 * colorChangeTimer)" dynamicb="(0.745 * (1 - colorChangeTimer)) + (0.36 * colorChangeTimer)" dynamica="0.8" colorSpace="0"/>
<layer val="0"/>
<labelOffset x="-10" y="5"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<expression label="text9" exp=""9""/>
<element type="text" label="text9">
<show object="true" label="true" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="1"/>
<startPoint exp="I"/>
<labelOffset x="-14" y="17"/>
</element>
<command name="Polygon">
<input a0="(0, 1)" a1="(0.9, 1)" a2="4"/>
<output a0="poly4"/>
</command>
<element type="polygon" label="poly4">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0.8" dynamicr="(0.745 * (1 - colorChangeTimer)) + colorChangeTimer" dynamicg="(0.745 * (1 - colorChangeTimer)) + (0.84 * colorChangeTimer)" dynamicb="(0.745 * (1 - colorChangeTimer)) + (0 * colorChangeTimer)" dynamica="0.8" colorSpace="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<command name="Polygon">
<input a0="(1.3, 2)" a1="(2.2, 2)" a2="4"/>
<output a0="poly8"/>
</command>
<element type="polygon" label="poly8">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0.8" dynamicr="(0.745 * (1 - colorChangeTimer)) + (0.2 * colorChangeTimer)" dynamicg="(0.745 * (1 - colorChangeTimer)) + (0.8 * colorChangeTimer)" dynamicb="(0.745 * (1 - colorChangeTimer)) + (0.2 * colorChangeTimer)" dynamica="0.8" colorSpace="0"/>
<layer val="0"/>
<labelOffset x="-16" y="-51"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<command name="Polygon">
<input a0="(0, 2)" a1="(0.9, 2)" a2="4"/>
<output a0="poly7"/>
</command>
<element type="polygon" label="poly7">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0.8" dynamicr="(0.745 * (1 - colorChangeTimer)) + (0.2 * colorChangeTimer)" dynamicg="(0.745 * (1 - colorChangeTimer)) + (0.8 * colorChangeTimer)" dynamicb="(0.745 * (1 - colorChangeTimer)) + (0.2 * colorChangeTimer)" dynamica="0.8" colorSpace="0"/>
<layer val="0"/>
<labelOffset x="-23" y="-32"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<expression label ="J" exp="(-0.3, 3.1)" type="point"/>
<element type="point" label="J">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="-0.3" y="3.1" z="1"/>
<pointSize val="1"/>
<pointStyle val="3"/>
</element>
<expression label ="K" exp="(1.1 + 1.4, 3.1)" type="point"/>
<element type="point" label="K">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="2.5" y="3.1" z="1"/>
<pointSize val="1"/>
<pointStyle val="3"/>
</element>
<command name="Segment">
<input a0="J" a1="K"/>
<output a0="a"/>
</command>
<element type="segment" label="a">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="0" y="2.8" z="-8.68"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="If">
<input a0="IsInRegion[A, poly8]" a1="1" a2="If[IsInRegion[B, poly8], 2, If[IsInRegion[C, poly8], 3, If[IsInRegion[D, poly8], 4, If[IsInRegion[E, poly8], 5, If[IsInRegion[F, poly8], 6, If[IsInRegion[G, poly8], 7, If[IsInRegion[H, poly8], 8, If[IsInRegion[I, poly8], 9, 0]]]]]]]]"/>
<output a0="y1"/>
</command>
<element type="numeric" label="y1">
<value val="0"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<command name="If">
<input a0="IsInRegion[A, poly7]" a1="1" a2="If[IsInRegion[B, poly7], 2, If[IsInRegion[C, poly7], 3, If[IsInRegion[D, poly7], 4, If[IsInRegion[E, poly7], 5, If[IsInRegion[F, poly7], 6, If[IsInRegion[G, poly7], 7, If[IsInRegion[H, poly7], 8, If[IsInRegion[I, poly7], 9, 0]]]]]]]]"/>
<output a0="x1"/>
</command>
<element type="numeric" label="x1">
<value val="0"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<command name="If">
<input a0="IsInRegion[A, poly5]" a1="1" a2="If[IsInRegion[B, poly5], 2, If[IsInRegion[C, poly5], 3, If[IsInRegion[D, poly5], 4, If[IsInRegion[E, poly5], 5, If[IsInRegion[F, poly5], 6, If[IsInRegion[G, poly5], 7, If[IsInRegion[H, poly5], 8, If[IsInRegion[I, poly5], 9, 0]]]]]]]]"/>
<output a0="y2"/>
</command>
<element type="numeric" label="y2">
<value val="0"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<command name="If">
<input a0="IsInRegion[A, poly4]" a1="1" a2="If[IsInRegion[B, poly4], 2, If[IsInRegion[C, poly4], 3, If[IsInRegion[D, poly4], 4, If[IsInRegion[E, poly4], 5, If[IsInRegion[F, poly4], 6, If[IsInRegion[G, poly4], 7, If[IsInRegion[H, poly4], 8, If[IsInRegion[I, poly4], 9, 0]]]]]]]]"/>
<output a0="x2"/>
</command>
<element type="numeric" label="x2">
<value val="0"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<command name="If">
<input a0="IsInRegion[A, poly2]" a1="1" a2="If[IsInRegion[B, poly2], 2, If[IsInRegion[C, poly2], 3, If[IsInRegion[D, poly2], 4, If[IsInRegion[E, poly2], 5, If[IsInRegion[F, poly2], 6, If[IsInRegion[G, poly2], 7, If[IsInRegion[H, poly2], 8, If[IsInRegion[I, poly2], 9, 0]]]]]]]]"/>
<output a0="y3"/>
</command>
<element type="numeric" label="y3">
<value val="0"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<command name="If">
<input a0="IsInRegion[A, poly1]" a1="1" a2="If[IsInRegion[B, poly1], 2, If[IsInRegion[C, poly1], 3, If[IsInRegion[D, poly1], 4, If[IsInRegion[E, poly1], 5, If[IsInRegion[F, poly1], 6, If[IsInRegion[G, poly1], 7, If[IsInRegion[H, poly1], 8, If[IsInRegion[I, poly1], 9, 0]]]]]]]]"/>
<output a0="x3"/>
</command>
<element type="numeric" label="x3">
<value val="0"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<element type="button" label="button1">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="881" y="460"/>
<labelMode val="0"/>
<fixed val="true"/>
<isShape val="false"/>
<auxiliary val="true"/>
<ggbscript val="checker=false SetValue[A,anchors(1)] SetValue[B,anchors(2)] SetValue[C,anchors(3)] SetValue[D,anchors(4)] SetValue[E,anchors(5)] SetValue[F,anchors(6)] SetValue[G,anchors(7)] SetValue[H,anchors(8)] SetValue[I,anchors(9)] SetValue[colorChangeTimer,0] SetValue[timer1,1] SetValue[timer2,1] SetValue[timer3,1] SetValue[checkedTimer,0] SetValue[firstCheck,false]"/>
<font serif="false" sizeM="2" size="12" style="0"/>
<caption val="Reset"/>
</element>
<element type="button" label="button2">
<show object="true" label="true"/>
<condition showObject="filled ∧ doubleChecker ≟ 6 ∧ timer3 < Length[path3]"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="181" y="364"/>
<labelMode val="0"/>
<fixed val="true"/>
<isShape val="false"/>
<auxiliary val="true"/>
<ggbscript val="If(IsInRegion[A,poly1],SetValue[A,Centroid[poly1]]) If(IsInRegion[A,poly2],SetValue[A,Centroid[poly2]]) If(IsInRegion[A,poly4],SetValue[A,Centroid[poly4]]) If(IsInRegion[A,poly5],SetValue[A,Centroid[poly5]]) If(IsInRegion[A,poly7],SetValue[A,Centroid[poly7]]) If(IsInRegion[A,poly8],SetValue[A,Centroid[poly8]]) If(IsInRegion[B,poly1],SetValue[B,Centroid[poly1]]) If(IsInRegion[B,poly2],SetValue[B,Centroid[poly2]]) If(IsInRegion[B,poly4],SetValue[B,Centroid[poly4]]) If(IsInRegion[B,poly5],SetValue[B,Centroid[poly5]]) If(IsInRegion[B,poly7],SetValue[B,Centroid[poly7]]) If(IsInRegion[B,poly8],SetValue[B,Centroid[poly8]]) If(IsInRegion[C,poly1],SetValue[C,Centroid[poly1]]) If(IsInRegion[C,poly2],SetValue[C,Centroid[poly2]]) If(IsInRegion[C,poly4],SetValue[C,Centroid[poly4]]) If(IsInRegion[C,poly5],SetValue[C,Centroid[poly5]]) If(IsInRegion[C,poly7],SetValue[C,Centroid[poly7]]) If(IsInRegion[C,poly8],SetValue[C,Centroid[poly8]]) If(IsInRegion[D,poly1],SetValue[D,Centroid[poly1]]) If(IsInRegion[D,poly2],SetValue[D,Centroid[poly2]]) If(IsInRegion[D,poly4],SetValue[D,Centroid[poly4]]) If(IsInRegion[D,poly5],SetValue[D,Centroid[poly5]]) If(IsInRegion[D,poly7],SetValue[D,Centroid[poly7]]) If(IsInRegion[D,poly8],SetValue[D,Centroid[poly8]]) If(IsInRegion[E,poly1],SetValue[E,Centroid[poly1]]) If(IsInRegion[E,poly2],SetValue[E,Centroid[poly2]]) If(IsInRegion[E,poly4],SetValue[E,Centroid[poly4]]) If(IsInRegion[E,poly5],SetValue[E,Centroid[poly5]]) If(IsInRegion[E,poly7],SetValue[E,Centroid[poly7]]) If(IsInRegion[E,poly8],SetValue[E,Centroid[poly8]]) If(IsInRegion[F,poly1],SetValue[F,Centroid[poly1]]) If(IsInRegion[F,poly2],SetValue[F,Centroid[poly2]]) If(IsInRegion[F,poly4],SetValue[F,Centroid[poly4]]) If(IsInRegion[F,poly5],SetValue[F,Centroid[poly5]]) If(IsInRegion[F,poly7],SetValue[F,Centroid[poly7]]) If(IsInRegion[F,poly8],SetValue[F,Centroid[poly8]]) If(IsInRegion[G,poly1],SetValue[G,Centroid[poly1]]) If(IsInRegion[G,poly2],SetValue[G,Centroid[poly2]]) If(IsInRegion[G,poly4],SetValue[G,Centroid[poly4]]) If(IsInRegion[G,poly5],SetValue[G,Centroid[poly5]]) If(IsInRegion[G,poly7],SetValue[G,Centroid[poly7]]) If(IsInRegion[G,poly8],SetValue[G,Centroid[poly8]]) If(IsInRegion[H,poly1],SetValue[H,Centroid[poly1]]) If(IsInRegion[H,poly2],SetValue[H,Centroid[poly2]]) If(IsInRegion[H,poly4],SetValue[H,Centroid[poly4]]) If(IsInRegion[H,poly5],SetValue[H,Centroid[poly5]]) If(IsInRegion[H,poly7],SetValue[H,Centroid[poly7]]) If(IsInRegion[H,poly8],SetValue[H,Centroid[poly8]]) If(IsInRegion[I,poly1],SetValue[I,Centroid[poly1]]) If(IsInRegion[I,poly2],SetValue[I,Centroid[poly2]]) If(IsInRegion[I,poly4],SetValue[I,Centroid[poly4]]) If(IsInRegion[I,poly5],SetValue[I,Centroid[poly5]]) If(IsInRegion[I,poly7],SetValue[I,Centroid[poly7]]) If(IsInRegion[I,poly8],SetValue[I,Centroid[poly8]]) SetValue[checker,true] SetValue[point1anchor, fakeOrigin+gridSpacer*(x1,y1)] SetValue[point2anchor, fakeOrigin+gridSpacer*(x2,y2)] SetValue[point3anchor, fakeOrigin+gridSpacer*(x3,y3)] StartAnimation[colorChangeTimer] SetValue[old1,point1anchor] SetValue[old2,point2anchor] SetValue[old3,point3anchor] "/>
<font serif="false" sizeM="2" size="12" style="0"/>
<caption val="Check"/>
</element>
<expression label ="checker" exp="false"/>
<element type="boolean" label="checker">
<value val="false"/>
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label="filled" exp="(((((x1 * x2) * x3) * y1) * y2) * y3) > 0" />
<element type="boolean" label="filled">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label="text10" exp=""x""/>
<element type="text" label="text10">
<symbolic val="true" />
<show object="true" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="1"/>
<startPoint x="0.19" y="3.37" z="1"/>
</element>
<expression label="text11" exp=""y""/>
<element type="text" label="text11">
<symbolic val="true" />
<show object="true" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="1"/>
<startPoint x="1.4700000000000013" y="3.3599999999999985" z="1"/>
</element>
<command name="Sequence">
<input a0="Point[{i + 0.1, 6}]" a1="i" a2="-3" a3="5"/>
<output a0="anchors"/>
</command>
<element type="list" label="anchors">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<isShape val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="-1"/>
</element>
<command name="Segment">
<input a0="(1.1, -0.2)" a1="(1.1, 4)"/>
<output a0="f"/>
</command>
<element type="segment" label="f">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="-4.2" y="0" z="4.62"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<expression label ="gridSpacer" exp="0.7"/>
<element type="numeric" label="gridSpacer">
<value val="0.7"/>
<symbolic val="true" />
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<command name="Point">
<input a0="{8, -2}"/>
<output a0="fakeOrigin"/>
</command>
<element type="point" label="fakeOrigin">
<show object="false" label="false" ev="4"/>
<objColor r="68" g="68" b="68" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="8" y="-2" z="1"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Segment[fakeOrigin + ((gridSpacer * i), 0), fakeOrigin + ((gridSpacer * i), (10 * gridSpacer))]" a1="i" a2="1" a3="10"/>
<output a0="verLines"/>
</command>
<element type="list" label="verLines">
<show object="true" label="false" ev="4"/>
<objColor r="96" g="96" b="96" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<lineStyle thickness="4" type="0" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="-1"/>
</element>
<command name="Sequence">
<input a0="Segment[fakeOrigin + (0, (gridSpacer * i)), fakeOrigin + ((gridSpacer * 10), (i * gridSpacer))]" a1="i" a2="1" a3="10"/>
<output a0="horLines"/>
</command>
<element type="list" label="horLines">
<show object="true" label="false" ev="4"/>
<objColor r="96" g="96" b="96" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<lineStyle thickness="4" type="0" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="-1"/>
</element>
<command name="Vector">
<input a0="fakeOrigin" a1="fakeOrigin + ((11 * gridSpacer), 0)"/>
<output a0="xaxis"/>
</command>
<element type="vector" label="xaxis">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="7.699999999999999" y="0" z="0"/>
<lineStyle thickness="7" type="0" typeHidden="1"/>
<coordStyle style="cartesian"/>
<startPoint exp="fakeOrigin"/>
</element>
<command name="Vector">
<input a0="fakeOrigin" a1="fakeOrigin + (0, (11 * gridSpacer))"/>
<output a0="yaxis"/>
</command>
<element type="vector" label="yaxis">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="0" y="7.699999999999999" z="0"/>
<lineStyle thickness="7" type="0" typeHidden="1"/>
<coordStyle style="cartesian"/>
<startPoint exp="fakeOrigin"/>
</element>
<element type="point" label="point1anchor">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="11.5" y="2.1999999999999993" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="point2anchor">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="12.899999999999999" y="3.5999999999999996" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="point3anchor">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="10.1" y="0.7999999999999998" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="numeric" label="timer1">
<value val="1"/>
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelOffset x="-80" y="8"/>
<labelMode val="1"/>
<slider min="1" max="Length[path1]" absoluteScreenLocation="true" width="200" x="296" y="55" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="1" speed="5" type="3" playing="false"/>
<ggbscript onUpdate="StartAnimation[timer2,timer1==Length(path1)] "/>
</element>
<element type="numeric" label="colorChangeTimer">
<value val="0"/>
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="0" max="1" absoluteScreenLocation="true" width="200" x="296" y="26" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="0.01" speed="8" type="3" playing="false"/>
<ggbscript onUpdate="StartAnimation[timer1,colorChangeTimer==1]"/>
</element>
<command name="Join">
<input a0="{Sequence[(fakeOrigin * (1 - i / 300)) + ((x(point2anchor), y(fakeOrigin)) * i / 300), i, 0, 300], Sequence[((x(point2anchor), y(fakeOrigin)) * (1 - i / 300)) + (point2anchor * i / 300), i, 0, 300]}"/>
<output a0="path2"/>
</command>
<element type="list" label="path2">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<isShape val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="-1"/>
</element>
<element type="numeric" label="timer2">
<value val="1"/>
<symbolic val="true" />
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="1" max="Length[path2]" absoluteScreenLocation="true" width="200" x="297" y="95" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="1" speed="5" type="3" playing="false"/>
<ggbscript onUpdate="StartAnimation[timer3,timer2==Length(path2)] "/>
</element>
<element type="numeric" label="timer3">
<value val="1"/>
<symbolic val="true" />
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelOffset x="74" y="-30"/>
<labelMode val="1"/>
<slider min="1" max="Length[path3]" absoluteScreenLocation="true" width="200" x="296" y="123" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="1" speed="5" type="3" playing="false"/>
</element>
<expression label="poly1outline" exp="poly1" />
<element type="polygon" label="poly1outline">
<lineStyle thickness="4" type="10" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<expression label="poly2outline" exp="poly2" />
<element type="polygon" label="poly2outline">
<lineStyle thickness="4" type="10" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<expression label="poly4outline" exp="poly4" />
<element type="polygon" label="poly4outline">
<lineStyle thickness="4" type="10" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<expression label="poly5outline" exp="poly5" />
<element type="polygon" label="poly5outline">
<lineStyle thickness="4" type="10" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<expression label="poly7outline" exp="poly7" />
<element type="polygon" label="poly7outline">
<lineStyle thickness="4" type="10" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<expression label="poly8outline" exp="poly8" />
<element type="polygon" label="poly8outline">
<lineStyle thickness="4" type="10" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<command name="Element" type="point">
<input a0="path2" a1="timer2"/>
<output a0="mover2"/>
</command>
<element type="point" label="mover2">
<show object="true" label="false" ev="4"/>
<condition showObject="timer1 ≟ Length[path1] ∧ (¬firstCheck)"/>
<objColor r="255" g="215" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="8" y="-2" z="1"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<command name="AreCollinear">
<input a0="point1anchor" a1="point2anchor" a2="point3anchor"/>
<output a0="line"/>
</command>
<element type="boolean" label="line">
<value val="true"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label="text12" exp=""" + (If[line, "Linear!", "Not linear!"]) + """ />
<element type="text" label="text12">
<show object="true" label="true" ev="40"/>
<condition showObject="ready"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="0"/>
<startPoint x="9.521421107628004" y="5.625032392894462" z="1"/>
</element>
<command name="Polygon">
<input a0="(-0.3, -0.3)" a1="(2.5, -0.3)" a2="(2.5, 3.2)" a3="(-0.3, 3.2)"/>
<output a0="region" a1="h" a2="i" a3="j" a4="k"/>
</command>
<element type="polygon" label="region">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="false" label="false" ev="4"/>
<objColor r="153" g="51" b="0" alpha="0.10000000149011612"/>
<layer val="4"/>
<labelMode val="0"/>
<fixed val="true"/>
<isShape val="false"/>
</element>
<element type="segment" label="h">
<show object="false" label="false"/>
<objColor r="153" g="51" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<isShape val="false"/>
<auxiliary val="false"/>
<coords x="0" y="2.8" z="0.84"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="i">
<show object="false" label="false"/>
<objColor r="153" g="51" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<isShape val="false"/>
<auxiliary val="false"/>
<coords x="-3.5" y="0" z="8.75"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="j">
<show object="false" label="false"/>
<objColor r="153" g="51" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<isShape val="false"/>
<auxiliary val="false"/>
<coords x="0" y="-2.8" z="8.96"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="k">
<show object="false" label="false"/>
<objColor r="153" g="51" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<isShape val="false"/>
<auxiliary val="false"/>
<coords x="3.5" y="0" z="1.05"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<expression label="doubleChecker" exp="If[IsInRegion[A, region], 1, 0] + If[IsInRegion[B, region], 1, 0] + If[IsInRegion[C, region], 1, 0] + If[IsInRegion[D, region], 1, 0] + If[IsInRegion[E, region], 1, 0] + If[IsInRegion[F, region], 1, 0] + If[IsInRegion[G, region], 1, 0] + If[IsInRegion[H, region], 1, 0] + If[IsInRegion[I, region], 1, 0]" />
<element type="numeric" label="doubleChecker">
<value val="0"/>
<symbolic val="true" />
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<element type="boolean" label="firstCheck">
<value val="false"/>
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<element type="point" label="old1">
<show object="true" label="false" ev="4"/>
<condition showObject="checkedTimer > 0 ∧ checkedTimer < 1"/>
<objColor r="0" g="255" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="11.5" y="2.1999999999999993" z="1"/>
<pointSize val="6"/>
<pointStyle val="2"/>
</element>
<element type="point" label="old2">
<show object="false" label="false" ev="4"/>
<condition showObject="checkedTimer > 0 ∧ checkedTimer < 1"/>
<objColor r="255" g="215" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="12.899999999999999" y="3.5999999999999996" z="1"/>
<pointSize val="6"/>
<pointStyle val="2"/>
</element>
<element type="point" label="old3">
<show object="false" label="false" ev="4"/>
<condition showObject="checkedTimer > 0 ∧ checkedTimer < 1"/>
<objColor r="220" g="20" b="60" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="10.8" y="4.3" z="1"/>
<pointSize val="6"/>
<pointStyle val="2"/>
</element>
<element type="numeric" label="checkedTimer">
<value val="0"/>
<symbolic val="true" />
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="4"/>
<labelMode val="1"/>
<slider min="0" max="1" absoluteScreenLocation="true" width="200" x="305" y="95" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="0.01" speed="5" type="3" playing="false"/>
</element>
<element type="button" label="button3">
<show object="true" label="true"/>
<condition showObject="filled ∧ doubleChecker ≟ 6 ∧ timer3 ≟ Length[path3] ∧ (moved1 ∨ moved2 ∨ moved3)"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="4"/>
<labelOffset x="181" y="364"/>
<labelMode val="3"/>
<fixed val="true"/>
<isShape val="false"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[firstCheck,true] SetValue[checker,true] SetValue[old1,point1anchor] SetValue[old2,point2anchor] SetValue[old3,point3anchor] If(IsInRegion[A,poly1],SetValue[A,Centroid[poly1]]) If(IsInRegion[A,poly2],SetValue[A,Centroid[poly2]]) If(IsInRegion[A,poly4],SetValue[A,Centroid[poly4]]) If(IsInRegion[A,poly5],SetValue[A,Centroid[poly5]]) If(IsInRegion[A,poly7],SetValue[A,Centroid[poly7]]) If(IsInRegion[A,poly8],SetValue[A,Centroid[poly8]]) If(IsInRegion[B,poly1],SetValue[B,Centroid[poly1]]) If(IsInRegion[B,poly2],SetValue[B,Centroid[poly2]]) If(IsInRegion[B,poly4],SetValue[B,Centroid[poly4]]) If(IsInRegion[B,poly5],SetValue[B,Centroid[poly5]]) If(IsInRegion[B,poly7],SetValue[B,Centroid[poly7]]) If(IsInRegion[B,poly8],SetValue[B,Centroid[poly8]]) If(IsInRegion[C,poly1],SetValue[C,Centroid[poly1]]) If(IsInRegion[C,poly2],SetValue[C,Centroid[poly2]]) If(IsInRegion[C,poly4],SetValue[C,Centroid[poly4]]) If(IsInRegion[C,poly5],SetValue[C,Centroid[poly5]]) If(IsInRegion[C,poly7],SetValue[C,Centroid[poly7]]) If(IsInRegion[C,poly8],SetValue[C,Centroid[poly8]]) If(IsInRegion[D,poly1],SetValue[D,Centroid[poly1]]) If(IsInRegion[D,poly2],SetValue[D,Centroid[poly2]]) If(IsInRegion[D,poly4],SetValue[D,Centroid[poly4]]) If(IsInRegion[D,poly5],SetValue[D,Centroid[poly5]]) If(IsInRegion[D,poly7],SetValue[D,Centroid[poly7]]) If(IsInRegion[D,poly8],SetValue[D,Centroid[poly8]]) If(IsInRegion[E,poly1],SetValue[E,Centroid[poly1]]) If(IsInRegion[E,poly2],SetValue[E,Centroid[poly2]]) If(IsInRegion[E,poly4],SetValue[E,Centroid[poly4]]) If(IsInRegion[E,poly5],SetValue[E,Centroid[poly5]]) If(IsInRegion[E,poly7],SetValue[E,Centroid[poly7]]) If(IsInRegion[E,poly8],SetValue[E,Centroid[poly8]]) If(IsInRegion[F,poly1],SetValue[F,Centroid[poly1]]) If(IsInRegion[F,poly2],SetValue[F,Centroid[poly2]]) If(IsInRegion[F,poly4],SetValue[F,Centroid[poly4]]) If(IsInRegion[F,poly5],SetValue[F,Centroid[poly5]]) If(IsInRegion[F,poly7],SetValue[F,Centroid[poly7]]) If(IsInRegion[F,poly8],SetValue[F,Centroid[poly8]]) If(IsInRegion[G,poly1],SetValue[G,Centroid[poly1]]) If(IsInRegion[G,poly2],SetValue[G,Centroid[poly2]]) If(IsInRegion[G,poly4],SetValue[G,Centroid[poly4]]) If(IsInRegion[G,poly5],SetValue[G,Centroid[poly5]]) If(IsInRegion[G,poly7],SetValue[G,Centroid[poly7]]) If(IsInRegion[G,poly8],SetValue[G,Centroid[poly8]]) If(IsInRegion[H,poly1],SetValue[H,Centroid[poly1]]) If(IsInRegion[H,poly2],SetValue[H,Centroid[poly2]]) If(IsInRegion[H,poly4],SetValue[H,Centroid[poly4]]) If(IsInRegion[H,poly5],SetValue[H,Centroid[poly5]]) If(IsInRegion[H,poly7],SetValue[H,Centroid[poly7]]) If(IsInRegion[H,poly8],SetValue[H,Centroid[poly8]]) If(IsInRegion[I,poly1],SetValue[I,Centroid[poly1]]) If(IsInRegion[I,poly2],SetValue[I,Centroid[poly2]]) If(IsInRegion[I,poly4],SetValue[I,Centroid[poly4]]) If(IsInRegion[I,poly5],SetValue[I,Centroid[poly5]]) If(IsInRegion[I,poly7],SetValue[I,Centroid[poly7]]) If(IsInRegion[I,poly8],SetValue[I,Centroid[poly8]]) SetValue[point1anchor, fakeOrigin+gridSpacer*(x1,y1)] SetValue[point2anchor, fakeOrigin+gridSpacer*(x2,y2)] SetValue[point3anchor, fakeOrigin+gridSpacer*(x3,y3)] SetValue[checker,true] SetValue[checkedTimer,0] StartAnimation[checkedTimer] "/>
<font serif="false" sizeM="2" size="12" style="0"/>
<caption val="Check"/>
</element>
<expression label="newMover1" exp="(old1 * (1 - checkedTimer)) + (point1anchor * checkedTimer)" type="point" />
<element type="point" label="newMover1">
<show object="false" label="false" ev="4"/>
<condition showObject="firstCheck"/>
<objColor r="0" g="255" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="11.5" y="2.1999999999999993" z="1"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<expression label="newMover2" exp="(old2 * (1 - checkedTimer)) + (point2anchor * checkedTimer)" type="point" />
<element type="point" label="newMover2">
<show object="false" label="false" ev="4"/>
<condition showObject="firstCheck"/>
<objColor r="255" g="215" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="12.899999999999999" y="3.5999999999999996" z="1"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<expression label="moved1" exp="point1anchor ≠ fakeOrigin + (gridSpacer * (x1, y1))" />
<element type="boolean" label="moved1">
<value val="true"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label="moved2" exp="point2anchor ≠ fakeOrigin + (gridSpacer * (x2, y2))" />
<element type="boolean" label="moved2">
<value val="true"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label="moved3" exp="point3anchor ≠ fakeOrigin + (gridSpacer * (x3, y3))" />
<element type="boolean" label="moved3">
<value val="true"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label="text13" exp=""This graph is not entirely accurate!""/>
<element type="text" label="text13">
<show object="true" label="true" ev="40"/>
<condition showObject="(moved1 ∨ moved2 ∨ moved3) ∧ timer3 ≟ Length[path3]"/>
<objColor r="160" g="160" b="160" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="4" size="36" style="1"/>
<startPoint x="8.309299895506786" y="2.74101985370951" z="1"/>
</element>
<command name="Join">
<input a0="{Sequence[(fakeOrigin * (1 - i / 300)) + ((x(point3anchor), y(fakeOrigin)) * i / 300), i, 0, 300], Sequence[((x(point3anchor), y(fakeOrigin)) * (1 - i / 300)) + (point3anchor * i / 300), i, 0, 300]}"/>
<output a0="path3"/>
</command>
<element type="list" label="path3">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<isShape val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="-1"/>
</element>
<command name="Element" type="point">
<input a0="path3" a1="timer3"/>
<output a0="mover3"/>
</command>
<element type="point" label="mover3">
<show object="true" label="false" ev="4"/>
<condition showObject="timer2 ≟ Length[path2] ∧ (¬firstCheck)"/>
<objColor r="220" g="20" b="60" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="8" y="-2" z="1"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<expression label="newMover3" exp="(old3 * (1 - checkedTimer)) + (point3anchor * checkedTimer)" type="point" />
<element type="point" label="newMover3">
<show object="true" label="false" ev="4"/>
<condition showObject="firstCheck"/>
<objColor r="220" g="20" b="60" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="10.8" y="4.3" z="1"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<command name="Join">
<input a0="{Sequence[(fakeOrigin * (1 - i / 300)) + ((x(point1anchor), y(fakeOrigin)) * i / 300), i, 0, 300], Sequence[((x(point1anchor), y(fakeOrigin)) * (1 - i / 300)) + (point1anchor * i / 300), i, 0, 300]}"/>
<output a0="path1"/>
</command>
<element type="list" label="path1">
<show object="false" label="false"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<isShape val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="-1"/>
</element>
<command name="Element" type="point">
<input a0="path1" a1="timer1"/>
<output a0="mover1"/>
</command>
<element type="point" label="mover1">
<show object="true" label="false" ev="4"/>
<condition showObject="timer1 > 1 ∧ (¬firstCheck)"/>
<objColor r="0" g="255" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="8" y="-2" z="1"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<command name="If">
<input a0="¬firstCheck" a1="Line[mover1, mover2]" a2="Line[newMover1, newMover2]"/>
<output a0="g"/>
</command>
<element type="line" label="g">
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<isShape val="false"/>
<coords x="NaN" y="NaN" z="NaN"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Point">
<input a0="{x(fakeOrigin) - gridSpacer, g(x(fakeOrigin) - gridSpacer)}"/>
<output a0="leftBound"/>
</command>
<element type="point" label="leftBound">
<show object="false" label="false" ev="4"/>
<objColor r="220" g="20" b="60" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="7.3" y="NaN" z="1"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="{x(fakeOrigin) + (11 * gridSpacer), g(x(fakeOrigin) + (11 * gridSpacer))}"/>
<output a0="rightBound"/>
</command>
<element type="point" label="rightBound">
<show object="false" label="false" ev="4"/>
<objColor r="220" g="20" b="60" alpha="0"/>
<layer val="4"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="15.7" y="NaN" z="1"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<command name="If">
<input a0="¬firstCheck" a1="Vector[mover1, leftBound]" a2="Vector[newMover1, leftBound]"/>
<output a0="u"/>
</command>
<element type="vector" label="u">
<show object="true" label="false" ev="4"/>
<condition showObject="line ∧ ready"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="NaN" y="NaN" z="NaN"/>
<lineStyle thickness="12" type="0" typeHidden="1"/>
<coordStyle style="cartesian"/>
<startPoint exp="newMover1"/>
</element>
<command name="If">
<input a0="¬firstCheck" a1="Vector[mover1, rightBound]" a2="Vector[newMover1, rightBound]"/>
<output a0="v"/>
</command>
<element type="vector" label="v">
<show object="true" label="false" ev="4"/>
<condition showObject="line ∧ ready"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="NaN" y="NaN" z="NaN"/>
<lineStyle thickness="12" type="0" typeHidden="1"/>
<coordStyle style="cartesian"/>
<startPoint exp="newMover1"/>
</element>
<command name="If">
<input a0="¬firstCheck" a1="timer3 ≟ Length[path3]" a2="checkedTimer ≟ 1"/>
<output a0="ready"/>
</command>
<element type="boolean" label="ready">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
</construction>
</geogebra>