Dilation and Area Calculation

Dilation and Area Calculation
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2019-10-05 23:09
This example demonstrates the effect of dilation on the area of a figure, showing the relationship between the scale factor and area change. Core math concepts include dilation, area calculation, circumcircle, functions, natural numbers, and linear equations. Construction highlights GeoGebra commands like Intersect, Polygon, ScaleFactor, and objects such as G, A, C, D, B, ScaleRectangle, a, b, c, d, E, H, F, OrigRectangle, e, f, g, h. Suitable for middle school and above, ideal for teaching geometric transformations, area calculations, and functional relationships through exploration.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Polygon(A, B, C, D) → ScaleRectangle, a, b, c, d
  3. Intersect(xAxis, yAxis) → E
  4. Polygon(E, F, G, H) → OrigRectangle, e, f, g, h