Dilation Demonstration by Jason Wofsey
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Dilations
This example demonstrates the process and effect of similar transformation (scaling) of polygons in the coordinate plane; involves core math concepts like dilation, scaling factor, and coordinate geometry; constructed using GeoGebra commands/objects such as Polygon, Dilate, Segment; suitable for high school students learning geometric transformations and their properties and calculations.
GeoGebra Commands & Parameters
Polygon(A, B, C, D, E) → poly1, a_1, b_1, c_1, d_1, e_1Dilate(A, (s * (ScalingFactor - 1)) + 1, O) → A'Dilate(B, (s * (ScalingFactor - 1)) + 1, O) → B'Dilate(C, (s * (ScalingFactor - 1)) + 1, O) → C'Dilate(D, (s * (ScalingFactor - 1)) + 1, O) → D'Dilate(E, (s * (ScalingFactor - 1)) + 1, O) → E'Polygon(A', B', C', D', E') → poly1', a', b', c', d', e'Segment(O, E) → iSegment(O, E') → j