Activity 4: Properties of Trapezoid

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2017-07-22 01:22

Polygon Angle Transformation

This example demonstrates the properties of a trapezoid. Key mathematical concepts include similarity transformation, angles, and vectors. Using GeoGebra commands such as Polygon, Mirror, and Intersect, the trapezoid and its mirror image can be constructed to further explore its properties. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

Polygon(A, B, C, D) → poly1, a, b, c, d
Mirror(A, yAxis) → A'
Mirror(B, yAxis) → B'
Mirror(C, yAxis) → C'
Mirror(D, yAxis) → D'
Polygon(A', B', C', D') → poly1', a', b', c', d'
Mirror(A, xAxis) → A'_1
Mirror(B, xAxis) → B'_1
Mirror(C, xAxis) → C'_1
Mirror(D, xAxis) → D'_1
Polygon(A'_1, B'_1, C'_1, D'_1) → poly1'_1, a'_1, b'_1, c'_1, d'_1
Intersect(xAxis, yAxis) → E
Mirror(A, E) → A'_2
Mirror(B, E) → B'_2
Mirror(C, E) → C'_2
Mirror(D, E) → D'_2
Polygon(A'_2, B'_2, C'_2, D'_2) → poly1'_2, a'_2, b'_2, c'_2, d'_2