Interactive Quiz on Rotation Transformation
2016-02-19 15:00
This GeoGebra example is an interactive mathematics quiz tool focused on rotation transformations. The system uses commands such as RandomElement, Shuffle, and Random to generate randomized rotation problems across different quadrants (listQ1 to listQ4) and directions (listRight, listLeft, listUp, listDown). Users can adjust the rotation angle via the theta slider and apply the Rotate command to p
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<viewNumber viewNo="1"/>
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<evSettings axes="false" grid="true" gridIsBold="true" pointCapturing="2" rightAngleStyle="1" checkboxSize="26" gridType="0"/>
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<grid distX="1" distY="1" distTheta="0.5235987755982988"/>
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<euclidianView>
<viewNumber viewNo="2"/>
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<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"/>
</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 ="N" exp="5"/>
<element type="numeric" label="N">
<value val="5"/>
<show object="false" label="true"/>
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<animation step="1" speed="1" type="0" playing="false"/>
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<command name="RandomElement">
<input a0="{90°, -90°, 180°, -180°, 270°, -270°}"/>
<output a0="theta"/>
</command>
<element type="angle" label="theta">
<angleStyle val="3"/>
<value val="-1.5707963267948966"/>
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<lineStyle thickness="2" type="0" typeHidden="2"/>
<arcSize val="30"/>
<selectionAllowed val="false"/>
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<command name="Shuffle">
<input a0="Flatten[Sequence[Sequence[(i, j), j, (-N), N], i, 1, N]]"/>
<output a0="listRight"/>
</command>
<element type="list" label="listRight">
<show object="false" label="true" ev="4"/>
<objColor r="255" g="0" b="0" alpha="0"/>
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<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Shuffle">
<input a0="Flatten[Sequence[Sequence[(i, j), j, (-N), N], i, (-N), -1]]"/>
<output a0="listLeft"/>
</command>
<element type="list" label="listLeft">
<show object="false" label="true" ev="4"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
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<labelMode val="0"/>
<isShape val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Shuffle">
<input a0="Flatten[Sequence[Sequence[(i, j), j, 1, N], i, (-N), N]]"/>
<output a0="listUp"/>
</command>
<element type="list" label="listUp">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
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<command name="Shuffle">
<input a0="Flatten[Sequence[Sequence[(i, j), j, (-N), -1], i, (-N), N]]"/>
<output a0="listDown"/>
</command>
<element type="list" label="listDown">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
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<labelMode val="0"/>
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<pointStyle val="-1"/>
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<command name="Random">
<input a0="1" a1="8"/>
<output a0="qtype"/>
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<element type="numeric" label="qtype">
<value val="3"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
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<output a0="listQ1"/>
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<element type="list" label="listQ1">
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<command name="Rotate">
<input a0="listQ1" a1="180°"/>
<output a0="listQ3"/>
</command>
<element type="list" label="listQ3">
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<input a0="listQ1" a1="270°"/>
<output a0="listQ4"/>
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<element type="list" label="listQ4">
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<command name="Rotate">
<input a0="listQ1" a1="90°"/>
<output a0="listQ2"/>
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<element type="list" label="listQ2">
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<objColor r="0" g="0" b="255" alpha="0"/>
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<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="-2" y="-4" z="1"/>
<pointSize val="7"/>
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<element type="point" label="A">
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<objColor r="0" g="153" b="255" alpha="0"/>
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<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
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<element type="button" label="buttonNext">
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<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="25" y="242"/>
<labelMode val="3"/>
<animation step="1" speed="1" type="0" playing="false"/>
<isShape val="false"/>
<auxiliary val="true"/>
<ggbscript val="UpdateConstruction[] SetValue[A,Q1] SetValue[B,Q2] SetValue[join,false] SetVisibleInView[picCorrect,2,false] SetVisibleInView[picWrong,2,false] SetVisibleInView[buttonCheck,2,true] SetVisibleInView[buttonNext,2,false] SetVisibleInView[Q1',1,false] SetVisibleInView[Q2',1,false] SetVisibleInView[segAns,1,false] SetVisibleInView[segAns1,1,false] SetVisibleInView[segAns2,1,false] SetVisibleInView[segA,1,false] SetVisibleInView[segB,1,false] SetVisibleInView[segQ1,1,false] SetVisibleInView[segQ2,1,false] SetValue[showHint,false] SetVisibleInView[showHint,1,true]"/>
<font serif="false" sizeM="2" size="20" style="0"/>
<caption val="Next"/>
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<input a0="qtype ≟ 1" a1="Element[listUp, 2]" a2="If[qtype ≟ 2, Element[listDown, 2], If[qtype ≟ 3, Element[listLeft, 2], If[qtype ≟ 4, Element[listRight, 2], If[qtype ≟ 5, Element[listQ1, 2], If[qtype ≟ 6, Element[listQ2, 2], If[qtype ≟ 7, Element[listQ3, 2], If[qtype ≟ 8, Element[listQ4, 2]]]]]]]]"/>
<output a0="Q2"/>
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<element type="point" label="Q2">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="2"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="-5" y="-4" z="1"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="Q1" a1="Q2"/>
<output a0="b"/>
</command>
<element type="segment" label="b">
<show object="true" label="false" ev="8"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
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<isShape val="false"/>
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<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
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<input a0="Q2" a1="theta"/>
<output a0="Q2'"/>
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<element type="point" label="Q2'">
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<objColor r="255" g="127" b="0" alpha="0"/>
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<selectionAllowed val="false"/>
<isShape val="false"/>
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<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<command name="Rotate">
<input a0="Q1" a1="theta"/>
<output a0="Q1'"/>
</command>
<element type="point" label="Q1'">
<show object="true" label="false" ev="5"/>
<objColor r="255" g="127" b="0" alpha="0"/>
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<pointStyle val="0"/>
</element>
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<input a0="Q2'" a1="Q1'"/>
<output a0="segAns"/>
</command>
<element type="segment" label="segAns">
<show object="true" label="true" ev="9"/>
<objColor r="255" g="127" b="0" alpha="0"/>
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<caption val="Answer"/>
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<expression label="correct" exp="{A, B} ≟ {Q1', Q2'} ∨ {A, B} ≟ {Q2', Q1'}" />
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<show object="false" label="true"/>
<objColor r="255" g="0" b="0" alpha="0.10000000149011612"/>
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<slider min="-999" max="999" absoluteScreenLocation="true" width="200" x="30" y="50" fixed="false" horizontal="true" showAlgebra="true"/>
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<element type="boolean" label="showAxes">
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<show object="true" label="true" ev="3"/>
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<labelOffset x="20" y="37"/>
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<checkbox fixed="true"/>
<ggbscript onUpdate="ShowAxes[1,showAxes] ShowLabel[A,showAxes] ShowLabel[B,showAxes] ShowLabel[Q1,showAxes] ShowLabel[Q2,showAxes] ShowLabel[Q1',showAxes] ShowLabel[Q2',showAxes]"/>
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<objColor r="255" g="0" b="0" alpha="0"/>
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<element type="segment" label="segQ1">
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<objColor r="0" g="0" b="255" alpha="0"/>
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<command name="Segment">
<input a0="O" a1="Q2"/>
<output a0="segQ2"/>
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<element type="segment" label="segQ2">
<show object="true" label="false" ev="9"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="4" y="-5" z="0"/>
<lineStyle thickness="4" type="10" typeHidden="1"/>
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<element type="boolean" label="showHint">
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<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="545" y="42"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<ggbscript onUpdate="SetVisibleInView[segA,1,showHint] SetVisibleInView[segB,1,showHint] SetVisibleInView[segQ1,1,showHint] SetVisibleInView[segQ2,1,showHint]"/>
<caption val="Hint"/>
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<input a0="O" a1="Q1'"/>
<output a0="segAns1"/>
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<element type="segment" label="segAns1">
<show object="true" label="false" ev="9"/>
<objColor r="255" g="127" b="0" alpha="0"/>
<layer val="1"/>
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<isShape val="false"/>
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<element type="segment" label="segAns2">
<show object="true" label="false" ev="9"/>
<objColor r="255" g="127" b="0" alpha="0"/>
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<lineStyle thickness="4" type="10" typeHidden="1"/>
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<command name="Segment">
<input a0="O" a1="A"/>
<output a0="segA"/>
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<element type="segment" label="segA">
<show object="true" label="false" ev="5"/>
<objColor r="0" g="153" b="255" alpha="0"/>
<layer val="0"/>
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<lineStyle thickness="4" type="10" typeHidden="1"/>
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<objColor r="0" g="153" b="255" alpha="0"/>
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<isShape val="false"/>
<coords x="-2" y="4" z="0"/>
<lineStyle thickness="4" type="10" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="image" label="picCorrect">
<file name="ac60c94a2aa06c56b488b82e4022653e/thumb-up.png"/>
<inBackground val="false"/>
<absoluteScreenLocation x="25" y="192"/> <show object="true" label="true" ev="1"/>
<objColor r="0" g="0" b="0" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</element>
<element type="image" label="picWrong">
<file name="a94e0f31e7dfd448c35c108f5edd6f90/Cold Sweat.png"/>
<inBackground val="false"/>
<absoluteScreenLocation x="25" y="192"/> <show object="true" label="true" ev="1"/>
<objColor r="0" g="0" b="0" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
</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="28" y="445"/>
<labelMode val="3"/>
<animation step="1" speed="1" type="0" playing="false"/>
<isShape val="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="37" y="531"/>
<labelMode val="0"/>
<fixed val="true"/>
<isShape val="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[showAxes,If[lang==1,"顯示坐標","Show coordinates"]] SetCaption[segAns,If[lang==1,"答案","Answer"]] SetCaption[showHint,If[lang==1,"提示","Hint"]] SetCaption[join,If[lang==1,"連線","Join"]]"/>
<font serif="false" sizeM="2" size="20" style="0"/>
</element>
<element type="numeric" label="lang">
<value val="2"/>
<symbolic val="true" />
<show object="false" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="3"/>
<labelMode val="2"/>
<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="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<absoluteScreenLocation x="28" y="365"/>
</element>
<expression label="textQeng" exp=""a rotation of " + (abs(theta)) + " about " + (If[showAxes, "the origin", "the red point"]) + "\\nin " + (If[theta > 0°, "anticlockwise", "clockwise"]) + " direction"" />
<element type="text" label="textQeng">
<show object="true" label="true" ev="8"/>
<condition showObject="lang ≟ 2"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="1.3" size="6" style="0"/>
<absoluteScreenLocation x="22" y="42"/>
</element>
<expression label="textQ" exp=""繞" + (If[showAxes, "原點", "紅點"]) + "" + (If[theta > 0°, "逆", "順"]) + "時針旋轉" + (abs(theta)) + """ />
<element type="text" label="textQ">
<show object="true" label="true" ev="8"/>
<condition showObject="lang ≟ 1"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<absoluteScreenLocation x="20" y="46"/>
</element>
<element type="boolean" label="join">
<value val="false"/>
<show object="true" label="true"/>
<condition showObject="(A ≠ Q1) ∨ (B ≠ Q2)"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="545" y="126"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="Join"/>
</element>
</construction>
</geogebra>