Center of Dilation
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This GeoGebra example demonstrates the geometric transformation of dilation, showing how points and shapes are scaled from a fixed center point with a given ratio. Core mathematical concepts include geometric transformations, similarity, ratio, and the relationship between original and image points in coordinate geometry. The construction uses GeoGebra commands such as Polygon, Ray, Point, and Intersect, involving objects A, B, C, D, and parameter controls t1, t2 to manipulate the dilation behavior. It is suitable for middle school to high school geometry units, helping students intuitively understand dilation definitions, properties, and applications in graphing and modeling, making it ideal for teacher demonstrations and student exploration.
GeoGebra Commands & Parameters
Polygon(A, B, C) → t1, c, a, bRay(D, A) → fRay(D, B) → gRay(D, C) → hPoint(f) → A'Intersect(g, xAxis) → B'Intersect(h, xAxis) → C'Polygon(A', B', C') → t2, g_1, e, f_1