Quiz on Naming Congruent and Similar Triangles
2015-08-22 05:48
This interactive GeoGebra quiz focuses on naming congruent and similar triangles. It randomly generates and transforms triangles via rotations and reflections, challenging students to correctly identify and name corresponding vertices. By integrating polygons, angles, and geometric transformations, it helps students master triangle congruence and similarity naming conventions, boosting geometric i
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SetValue[O,(0,0)]
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SetValue[listAnswer1,1]
SetValue[listAnswer2,1]
SetValue[listAnswer3,1]
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SetValue[minY,Min[{y(O), y(A), y(B), y(O''), y(A''), y(B'')}]]
ZoomIn[minX-0.2, minY-0.2, maxX+0.2, maxY+0.2]

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SetCaption[B,Element[listLetter,3]]
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SetCaption[A'',Element[listLetter,5]]
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<absoluteScreenLocation x="415" y="72"/> <show object="true" label="true" ev="1"/>
<objColor r="0" g="0" b="0" alpha="1"/>
<layer val="2"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<selectionAllowed val="false"/>
</element>
<element type="numeric" label="minY">
<value val="-0.33456530317942895"/>
<show object="false" label="true"/>
<objColor r="160" g="160" b="160" alpha="0.10000000149011612"/>
<layer val="3"/>
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<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="maxY">
<value val="0.7336107005503543"/>
<show object="false" label="true"/>
<objColor r="160" g="160" b="160" alpha="0.10000000149011612"/>
<layer val="3"/>
<labelMode val="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<command name="Shuffle">
<input a0="{"D", "E", "F", "G", "H", "J", "K", "L", "M", "N", "P", "Q", "R", "S", "T", "V", "W", "X", "Y"}"/>
<output a0="listLetter"/>
</command>
<element type="list" label="listLetter">
<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="2"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Angle">
<input a0="poly1"/>
<output a0="angleO" a1="angleA" a2="angleB"/>
</command>
<element type="angle" label="angleO">
<angleStyle val="1"/>
<value val="1.0471975511965976"/>
<show object="false" label="true" ev="4"/>
<condition showObject="showMeasure ≠ 0"/>
<objColor r="0" g="153" b="0" alpha="0.5"/>
<layer val="2"/>
<labelOffset x="-5" y="40"/>
<labelMode val="2"/>
<lineStyle thickness="2" type="0" typeHidden="2"/>
<arcSize val="25"/>
<selectionAllowed val="false"/>
<auxiliary val="true"/>
</element>
<element type="angle" label="angleA">
<angleStyle val="1"/>
<value val="0.5235987755982987"/>
<show object="true" label="true" ev="4"/>
<condition showObject="showMeasure ≠ 0"/>
<objColor r="0" g="153" b="0" alpha="0.5"/>
<layer val="2"/>
<labelOffset x="11" y="-24"/>
<labelMode val="2"/>
<lineStyle thickness="2" type="0" typeHidden="2"/>
<arcSize val="25"/>
<selectionAllowed val="false"/>
<auxiliary val="true"/>
</element>
<element type="angle" label="angleB">
<angleStyle val="1"/>
<value val="1.570796326794897"/>
<show object="true" label="true" ev="4"/>
<condition showObject="showMeasure ≠ 0"/>
<objColor r="0" g="153" b="0" alpha="0.5"/>
<layer val="2"/>
<labelOffset x="-34" y="-20"/>
<labelMode val="2"/>
<lineStyle thickness="2" type="0" typeHidden="2"/>
<arcSize val="25"/>
<selectionAllowed val="false"/>
<auxiliary val="true"/>
</element>
<command name="Polygon">
<input a0="B''" a1="O''" a2="A''"/>
<output a0="poly2" a1="a_2" a2="b_2" a3="c_2"/>
</command>
<element type="polygon" label="poly2">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="102" g="204" b="255" alpha="0.5"/>
<layer val="2"/>
<labelMode val="0"/>
</element>
<element type="segment" label="a_2">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="2"/>
<selectionAllowed val="false"/>
<auxiliary val="true"/>
<coords x="0.11588137289060532" y="0.3566461936106824" z="-0.11588137289060532"/>
<lineStyle thickness="4" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="b_2">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelOffset x="-79" y="13"/>
<labelMode val="2"/>
<selectionAllowed val="false"/>
<auxiliary val="true"/>
<coords x="-0.7336107005503543" y="-0.1559337681133195" z="0.7336107005503543"/>
<lineStyle thickness="4" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="c_2">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="2"/>
<selectionAllowed val="false"/>
<auxiliary val="true"/>
<coords x="0.617729327659749" y="-0.2007124254973629" z="-0.3741596828453757"/>
<lineStyle thickness="4" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Angle">
<input a0="poly2"/>
<output a0="angleB''" a1="angleO''" a2="angleA''"/>
</command>
<element type="angle" label="angleB''">
<angleStyle val="1"/>
<value val="1.5707963267948972"/>
<show object="true" label="true" ev="4"/>
<condition showObject="showMeasure ≠ 0"/>
<objColor r="0" g="153" b="0" alpha="0.5"/>
<layer val="2"/>
<labelOffset x="-36" y="15"/>
<labelMode val="2"/>
<lineStyle thickness="2" type="0" typeHidden="2"/>
<arcSize val="25"/>
<selectionAllowed val="false"/>
<auxiliary val="true"/>
</element>
<element type="angle" label="angleO''">
<angleStyle val="1"/>
<value val="1.0471975511965974"/>
<show object="true" label="true" ev="4"/>
<condition showObject="showMeasure ≠ 0"/>
<objColor r="0" g="153" b="0" alpha="0.5"/>
<layer val="2"/>
<labelOffset x="8" y="-20"/>
<labelMode val="2"/>
<lineStyle thickness="2" type="0" typeHidden="2"/>
<arcSize val="25"/>
<selectionAllowed val="false"/>
<auxiliary val="true"/>
</element>
<element type="angle" label="angleA''">
<angleStyle val="1"/>
<value val="0.5235987755982986"/>
<show object="true" label="true" ev="4"/>
<condition showObject="showMeasure ≠ 0"/>
<objColor r="0" g="153" b="0" alpha="0.5"/>
<layer val="2"/>
<labelOffset x="-27" y="23"/>
<labelMode val="2"/>
<lineStyle thickness="2" type="0" typeHidden="2"/>
<arcSize val="25"/>
<selectionAllowed val="false"/>
<auxiliary val="true"/>
</element>
<element type="boolean" label="showMeasure">
<value val="false"/>
<show object="true" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelOffset x="485" y="17"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<ggbscript onUpdate="ShowLabel[a_1,showMeasure]
ShowLabel[b_1,showMeasure]
ShowLabel[c_1,showMeasure]
ShowLabel[a_2,showMeasure]
ShowLabel[b_2,showMeasure]
ShowLabel[c_2,showMeasure]"/>
<caption val="Show angles and lengths"/>
</element>
<command name="Take">
<input a0="listLetter" a1="1" a2="3"/>
<output a0="listQuestion"/>
</command>
<element type="list" label="listQuestion">
<show object="false" label="false" ev="11"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="2"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Append">
<input a0=""?"" a1="Sort[Take[listLetter, 4, 6]]"/>
<output a0="listAnswer1"/>
</command>
<element type="list" label="listAnswer1">
<show object="true" label="false" ev="11"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="255" g="255" b="0" alpha="255"/>
<layer val="2"/>
<labelOffset x="205" y="78"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<comboBox val="true"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<caption val="1"/>
</element>
<command name="Append">
<input a0=""?"" a1="Sort[Take[listLetter, 4, 6]]"/>
<output a0="listAnswer2"/>
</command>
<element type="list" label="listAnswer2">
<show object="true" label="false" ev="7"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="255" g="255" b="0" alpha="255"/>
<layer val="2"/>
<labelOffset x="277" y="78"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<comboBox val="true"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<caption val="2"/>
</element>
<command name="Append">
<input a0=""?"" a1="Sort[Take[listLetter, 4, 6]]"/>
<output a0="listAnswer3"/>
</command>
<element type="list" label="listAnswer3">
<show object="true" label="false" ev="7"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="255" g="255" b="0" alpha="255"/>
<layer val="2"/>
<labelOffset x="350" y="78"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<comboBox val="true"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<caption val="3"/>
</element>
<expression label="text1" exp=""Δ" + (Sum[listQuestion]) + """ />
<element type="text" label="text1">
<show object="true" label="true" ev="43"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<fixed val="true"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<absoluteScreenLocation x="13" y="102"/>
</element>
<expression label="listAnswer0" exp="{"?", "≅", "~"}"/>
<element type="list" label="listAnswer0">
<show object="true" label="false" ev="7"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="191" g="255" b="0" alpha="255"/>
<layer val="2"/>
<labelOffset x="96" y="78"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<comboBox val="true"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<caption val="0"/>
</element>
<expression label="text2" exp=""Δ" + (Sum[listQuestion]) + " " + (SelectedElement[listAnswer0]) + " Δ" + (SelectedElement[listAnswer1]) + "" + (SelectedElement[listAnswer2]) + "" + (SelectedElement[listAnswer3]) + """ />
<element type="text" label="text2">
<show object="true" label="true" ev="11"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<fixed val="true"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="3" size="40" style="0"/>
<absoluteScreenLocation x="14" y="54"/>
</element>
<command name="If">
<input a0="SelectedElement[listAnswer1] ≟ listLetter(4)" a1="angleO''" a2="SelectedElement[listAnswer1] ≟ listLetter(5)" a3="angleA''" a4="SelectedElement[listAnswer1] ≟ listLetter(6)" a5="angleB''" a6="0°"/>
<output a0="ans1"/>
</command>
<element type="angle" label="ans1">
<angleStyle val="1"/>
<value val="0"/>
<show object="false" label="true" ev="4"/>
<objColor r="255" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="2"/>
<labelMode val="1"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<arcSize val="30"/>
<selectionAllowed val="false"/>
</element>
<command name="If">
<input a0="SelectedElement[listAnswer2] ≟ listLetter(4)" a1="angleO''" a2="SelectedElement[listAnswer2] ≟ listLetter(5)" a3="angleA''" a4="SelectedElement[listAnswer2] ≟ listLetter(6)" a5="angleB''" a6="0°"/>
<output a0="ans2"/>
</command>
<element type="angle" label="ans2">
<angleStyle val="1"/>
<value val="0"/>
<show object="false" label="true" ev="11"/>
<objColor r="255" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="2"/>
<labelMode val="1"/>
<lineStyle thickness="2" type="0" typeHidden="2"/>
<arcSize val="30"/>
<selectionAllowed val="false"/>
</element>
<command name="If">
<input a0="SelectedElement[listAnswer3] ≟ listLetter(4)" a1="angleO''" a2="SelectedElement[listAnswer3] ≟ listLetter(5)" a3="angleA''" a4="SelectedElement[listAnswer3] ≟ listLetter(6)" a5="angleB''" a6="0°"/>
<output a0="ans3"/>
</command>
<element type="angle" label="ans3">
<angleStyle val="1"/>
<value val="0"/>
<show object="false" label="true" ev="11"/>
<objColor r="255" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="2"/>
<labelMode val="1"/>
<lineStyle thickness="2" type="0" typeHidden="2"/>
<arcSize val="30"/>
<selectionAllowed val="false"/>
</element>
<expression label="ansAllDifferent" exp="SelectedIndex[listAnswer1] ≠ SelectedIndex[listAnswer2] ∧ SelectedIndex[listAnswer2] ≠ SelectedIndex[listAnswer3] ∧ SelectedIndex[listAnswer3] ≠ SelectedIndex[listAnswer1]" />
<element type="boolean" label="ansAllDifferent">
<value val="false"/>
<show object="false" label="true" ev="3"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label="correct1" exp="k ≟ 1 ∧ SelectedIndex[listAnswer0] ≟ 2 ∨ k ≠ 1 ∧ SelectedIndex[listAnswer0] ≟ 3" />
<element type="boolean" label="correct1">
<value val="false"/>
<show object="false" label="true" ev="3"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label="text3" exp=""Δ""/>
<element type="text" label="text3">
<show object="true" label="true" ev="43"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<fixed val="true"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<absoluteScreenLocation x="181" y="102"/>
</element>
<element type="button" label="button0">
<show object="true" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
<labelOffset x="890" y="22"/>
<labelMode val="3"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[lang,If[lang==1,2,1]]
RunClickScript[buttonLang]
"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<caption val="中文"/>
</element>
<element type="button" label="buttonLang">
<show object="false" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
<labelOffset x="890" y="72"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetCaption[button0,If[lang==1,"ENG","中文"]]
SetCaption[buttonNext,If[lang==1,"下一題","Next"]]
SetCaption[buttonCheck,If[lang==1,"核對","Check"]]
SetCaption[rotate,If[lang==1,"旋轉","Rotate"]]
SetCaption[showMeasure,If[lang==1,"顯示角度和長度","Show angles and lengths"]]"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
</element>
<element type="numeric" label="lang">
<value val="2"/>
<symbolic val="true" />
<show object="false" label="true"/>
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<layer val="3"/>
<labelMode val="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<expression label="textMarks" exp=""" + (If[lang ≟ 1, "分數", "Marks"]) + " = " + marks + """ />
<element type="text" label="textMarks">
<show object="true" label="true" ev="11"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<startPoint x="9.06" y="-0.9600000000000002" z="1"/>
</element>
<element type="point" label="Pic1">
<show object="false" label="true" ev="11"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<selectionAllowed val="false"/>
<coords x="12.5" y="-2" z="1"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<element type="point" label="Pic2">
<show object="false" label="true" ev="11"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<selectionAllowed val="false"/>
<coords x="14" y="-2" z="1"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<element type="image" label="picStar">
<file name="a1438ea254ee24f940dc2e1cb2430ccf/star.png"/>
<inBackground val="false"/>
<startPoint number="0" exp="Pic1"/>
<startPoint number="1" exp="Pic2"/>
<show object="true" label="true" ev="3"/>
<condition showObject="marks ≥ 20"/>
<objColor r="0" g="0" b="0" alpha="1"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<selectionAllowed val="false"/>
</element>
<command name="Append">
<input a0=""?"" a1="Sort[Take[listLetter, 4, 6]]"/>
<output a0="listAnswer123"/>
</command>
<element type="list" label="listAnswer123">
<show object="false" label="false" ev="3"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="3"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<element type="image" label="cross1">
<file name="69ff330e3f45940f046ffd40a69f549f\cross.png"/>
<inBackground val="false"/>
<absoluteScreenLocation x="215" y="72"/> <show object="true" label="true" ev="1"/>
<objColor r="0" g="0" b="0" alpha="1"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<selectionAllowed val="false"/>
</element>
<expression label="correct2" exp="{angleO, angleA, angleB} ≟ {ans1, ans2, ans3} ∧ ansAllDifferent" />
<element type="boolean" label="correct2">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label="correct" exp="correct1 ∧ correct2" />
<element type="boolean" label="correct">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<element type="image" label="tick1">
<file name="47081ad8d4520594314213b4c41ffe12\tick.png"/>
<inBackground val="false"/>
<absoluteScreenLocation x="215" y="72"/> <show object="true" label="true" ev="1"/>
<objColor r="0" g="0" b="0" alpha="1"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<selectionAllowed val="false"/>
</element>
<expression label="text4" exp=""Δ" + (listLetter(4)) + "" + (listLetter(5)) + "" + (listLetter(6)) + """ />
<element type="text" label="text4">
<show object="false" label="false" ev="11"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<startPoint x="5.8600000000000065" y="-1.8025000000000007" z="1"/>
</element>
<expression label="textAns" exp=""" + text1 + " " + (If[k ≟ 1, "≅", "∼"]) + " " + text4 + """ />
<element type="text" label="textAns">
<show object="true" label="true" ev="41"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="2" size="20" style="0"/>
<absoluteScreenLocation x="18" y="176"/>
</element>
</construction>
</geogebra>