Exploring Polygon Area Problem (Part 2)
2014-10-10 04:28
This GeoGebra example demonstrates the calculation and geometric exploration of polygon areas. By constructing geometric objects such as points, segments, vectors, and polygons, it illustrates the area-solving process for quadrilaterals and polygons. The example utilizes commands including intersection, vector translation, and conditional logic, combined with symmetry analysis, to help learners in
In collections
5th Grade Math: Area (Part 2)
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<input a0="N ≟ A ∧ O ≟ B" a1="false" a2="true"/>
<output a0="moved3"/>
</command>
<element type="boolean" label="moved3">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
</element>
<command name="Vector">
<input a0="N" a1="O"/>
<output a0="k"/>
</command>
<element type="vector" label="k">
<show object="true" label="false"/>
<condition showObject="moved3"/>
<objColor r="0" g="0" b="0" alpha="0.0" dynamicr="If[moved3, 255, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="1"/>
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<selectionAllowed val="false"/>
<coords x="3.0" y="0.0" z="0.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<coordStyle style="cartesian"/>
<startPoint exp="N"/>
</element>
<command name="Vector">
<input a0="O" a1="N"/>
<output a0="u_1"/>
</command>
<element type="vector" label="u_1">
<show object="true" label="false"/>
<condition showObject="moved3"/>
<objColor r="0" g="0" b="0" alpha="0.0" dynamicr="If[moved3, 255, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
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<coords x="-3.0" y="0.0" z="0.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<coordStyle style="cartesian"/>
<startPoint exp="O"/>
</element>
<element type="point" label="P">
<show object="false" label="false"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="3.0" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<element type="point" label="Q">
<show object="false" label="false"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="3.0" y="6.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="P" a1="Q"/>
<output a0="i"/>
</command>
<element type="segment" label="i">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0" dynamicr="If[moved6, 255, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="1"/>
<labelOffset x="-10" y="-2"/>
<labelMode val="3"/>
<coords x="-6.0" y="0.0" z="18.0"/>
<lineStyle thickness="3" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="6 cm"/>
</element>
<command name="If">
<input a0="P ≟ B ∧ Q ≟ C" a1="false" a2="true"/>
<output a0="moved6"/>
</command>
<element type="boolean" label="moved6">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
</element>
<command name="Vector">
<input a0="P" a1="Q"/>
<output a0="v_1"/>
</command>
<element type="vector" label="v_1">
<show object="true" label="false"/>
<condition showObject="moved6"/>
<objColor r="0" g="0" b="0" alpha="0.0" dynamicr="If[moved6, 255, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
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<coordStyle style="cartesian"/>
<startPoint exp="P"/>
</element>
<command name="Vector">
<input a0="Q" a1="P"/>
<output a0="w_1"/>
</command>
<element type="vector" label="w_1">
<show object="true" label="false"/>
<condition showObject="moved6"/>
<objColor r="0" g="0" b="0" alpha="0.0" dynamicr="If[moved6, 255, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="1"/>
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<lineStyle thickness="2" type="0" typeHidden="1"/>
<coordStyle style="cartesian"/>
<startPoint exp="Q"/>
</element>
</construction>
</geogebra>