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Geometric Demonstration of Positive and Negative Angles
Geometric Demonstration of Positive and Negative Angles
2015-05-19 01:49
This GeoGebra math example intuitively demonstrates the concepts and geometric constructions of positive and negative angles. Using geometric commands such as intersect, circle arc, segment, and angle, it dynamically illustrates the formation of angles. Positive angles are typically formed by counterclockwise rotation, while negative angles are formed by clockwise rotation. Combined with text anno
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<?xml version="1.0" encoding="utf-8"?>
<geogebra format="3.2">
<gui>
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<splitDivider loc="650" locVertical="400" loc2="250" locVertical2="300" horizontal="true"/>
<font size="12"/>
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<evSettings axes="true" grid="false" gridIsBold="false" pointCapturing="3" pointStyle="0" rightAngleStyle="1" checkboxSize="13" gridType="0"/>
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<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="10"/>
<axis id="0" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
</euclidianView>
<kernel>
<continuous val="false"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="0"/>
<coordStyle val="0"/>
</kernel>
<construction title="" author="" date="">
<expression label="text1" exp=""Quadrant I""/>
<element type="text" label="text1">
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</element>
<command name="Intersect">
<input a0="xAxis" a1="yAxis"/>
<output a0="A"/>
</command>
<element type="point" label="A">
<show object="true" label="true"/>
<objColor r="64" g="64" b="64" alpha="0.0"/>
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<command name="Point">
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<output a0="B"/>
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<element type="point" label="B">
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</element>
<element type="point" label="C">
<show object="true" label="true"/>
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</element>
<command name="CircleArc">
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<output a0="c"/>
</command>
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<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="A" a1="B"/>
<output a0="a"/>
</command>
<element type="segment" label="a">
<lineStyle thickness="9" type="0"/>
<show object="true" label="false"/>
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</element>
<command name="Segment">
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</command>
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<keepTypeOnTransform val="true"/>
</element>
<command name="Angle">
<input a0="B" a1="A" a2="C"/>
<output a0="θ"/>
</command>
<element type="angle" label="θ">
<value val="0.7747224634626547"/>
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<arcSize val="70"/>
<allowReflexAngle val="false"/>
</element>
</construction>
</geogebra>
