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Dilation Exploration by Lara

Dilation Exploration by Lara
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2019-08-29 22:55
PolygonVectorFunctionTransformationGeometric Construction
This example demonstrates the effect of scaling a polygon through central similarity transformation in two-dimensional space. Key math concepts include similarity transformation, scale factor, vectors, and polygon properties. Construction highlights involve GeoGebra commands like Polygon, Dilate, and Segment. Suitable for high school students learning transformation geometry and the relationship between function graphs and geometric figures.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Dilate(A, scale, D) → A'
  3. Dilate(B, scale, D) → B'
  4. Dilate(C, scale, D) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Segment(B, B') → d
  7. Segment(A, A') → e
  8. Segment(C, C') → f
  9. Segment(D, B) → g
  10. Segment(D, C) → h
  11. Segment(D, A) → i