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Dilation and Polygon Transformation

Dilation and Polygon Transformation
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2017-06-15 23:48
PolygonTransformationGeometric Construction
This example demonstrates the scaling of polygons through dilation and observes the changes in angles after transformation. It involves core mathematical concepts like dilation, median value, cone, perimeter, differential equations, and random variables. Constructed using GeoGebra commands Polygon, Angle, and Dilate. Suitable for high school mathematics students and teachers to understand geometric transformations and spatial properties.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Angle(A, B, C) → α
  3. Angle(B, C, A) → β
  4. Angle(B, A, C) → γ
  5. Dilate(A, d, P) → A'
  6. Dilate(B, d, P) → B'
  7. Dilate(C, d, P) → C'
  8. Polygon(A', B', C') → poly1', c', a', b'
  9. Angle(A', C', B') → δ
  10. Angle(C', B', A') → ε
  11. Angle(B', A', C') → ζ