Reflectional Symmetry Demonstration
2013-08-16 14:09
This GeoGebra applet visually demonstrates reflectional (line) symmetry of planar figures. Using the Mirror command and interactive buttons, users can observe the reflection of various image objects across a specific axis of symmetry. The construction incorporates points, segments, lines, and angles to help learners deeply understand the geometric properties of reflection, the determination of the
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<output a0="pic8'"/>
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<element type="image" label="pic8'">
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<element type="point" label="D">
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<command name="Segment">
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<element type="segment" label="k">
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<condition showObject="show"/>
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<command name="Angle">
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<output a0="α"/>
</command>
<element type="angle" label="α">
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<condition showObject="show"/>
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<element type="boolean" label="show">
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<show object="true" label="true" ev="3"/>
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<labelMode val="3"/>
<checkbox fixed="true"/>
<ggbscript onUpdate="SetValue[P,(5,5)]"/>
<caption val="Show perpendicular line segments"/>
</element>
<element type="boolean" label="showImage">
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<show object="true" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
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<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="Show image of reflection"/>
</element>
<element type="button" label="button0">
<show object="true" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
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<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"/>
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<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetCaption[button0,If[lang==1,"ENG","中文"]] SetCaption[a,If[lang==1,"圖案1","Figure 1"]] SetCaption[b,If[lang==1,"圖案2","Figure 2"]] SetCaption[c,If[lang==1,"圖案3","Figure 3"]] SetCaption[d,If[lang==1,"圖案4","Figure 4"]] SetCaption[e,If[lang==1,"圖案5","Figure 5"]] SetCaption[f,If[lang==1,"圖案6","Figure 6"]] SetCaption[g,If[lang==1,"圖案7","Figure 7"]] SetCaption[h,If[lang==1,"圖案8","Figure 8"]] SetCaption[i,If[lang==1,"圖案9","Figure 9"]] SetCaption[button1,If[lang==1,"鉛垂反射軸","Vertical line of reflection"]] SetCaption[button2,If[lang==1,"水平反射軸","Horizontal line of reflection"]] SetCaption[showImage,If[lang==1,"顯示反射影像","Show image of reflection"]] SetCaption[show,If[lang==1,"顯示垂直線段","Show perpendicular line segments"]] "/>
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<element type="numeric" label="lang">
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<symbolic val="true" />
<show object="false" label="true" ev="3"/>
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<layer val="3"/>
<labelMode val="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
</construction>
</geogebra>