Geometric Construction and Demonstration of Complementary and Supplementary Angl
2020-12-24 06:46
This GeoGebra applet visually demonstrates the concepts of complementary and supplementary angles through geometric construction. Using tools such as segments, lines, orthogonal lines, circles, and arcs, it constructs angles and illustrates the geometric relationships where the sum of two angles equals 90 degrees (complementary) or 180 degrees (supplementary). Ideal for middle school geometry educ
In collections
Points, Lines, and Angles
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<command name="Angle">
<input a0="B'_{1}" a1="C_{3}" a2="D_{1}"/>
<output a0="α_{1}"/>
</command>
<element type="angle" label="α_{1}">
<angleStyle val="1"/>
<value val="1.1424281913876908"/>
<show object="true" label="true" ev="4"/>
<condition showObject="Angle[B'_{1}, C_{3}, D_{1}] < 180°"/>
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<labelMode val="3"/>
<lineStyle thickness="5" type="0" typeHidden="2" opacity="178"/>
<arcSize val="30"/>
<caption val="$\huge \alpha$"/>
</element>
<command name="Angle">
<input a0="B_{1}" a1="A_{1}" a2="E_{1}"/>
<output a0="β_{1}"/>
</command>
<element type="angle" label="β_{1}">
<angleStyle val="1"/>
<value val="4.284020844977484"/>
<show object="true" label="true" ev="4"/>
<objColor r="244" g="0" b="153" alpha="0.55"/>
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<labelOffset x="7" y="40"/>
<labelMode val="3"/>
<lineStyle thickness="5" type="0" typeHidden="2" opacity="178"/>
<arcSize val="30"/>
<caption val="$\huge \beta$"/>
</element>
<command name="Angle">
<input a0="B'_{1}" a1="C_{3}" a2="D_{1}"/>
<output a0="γ"/>
</command>
<element type="angle" label="γ">
<angleStyle val="0"/>
<value val="1.1424281913876908"/>
<show object="true" label="true" ev="4"/>
<condition showObject="Angle[B'_{1}, C_{3}, D_{1}] ≟ 180°"/>
<objColor r="0" g="0" b="255" alpha="0.5"/>
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<labelOffset x="-47" y="-17"/>
<labelMode val="3"/>
<lineStyle thickness="5" type="0" typeHidden="2" opacity="178"/>
<arcSize val="30"/>
<caption val="$\huge \alpha$"/>
</element>
<expression label="text1_{1}" exp=""\angle \alpha=" + (LaTeX[α_{1}]) + """ />
<element type="text" label="text1_{1}">
<show object="true" label="false" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="153" g="255" b="255" alpha="255"/>
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<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="0"/>
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</element>
<expression label="text2_{1}" exp=""\angle \beta=" + (LaTeX[β_{1}]) + """ />
<element type="text" label="text2_{1}">
<show object="true" label="false" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="255" g="153" b="204" alpha="255"/>
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<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="0"/>
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</element>
<expression label="text3" exp=""拖动红点并计算,左图和右图中,\angle\alpha+\angle\beta分别等于多少度?""/>
<element type="text" label="text3">
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<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="0"/>
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</element>
</construction>
</geogebra>