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Dilation Exploration by GeoGebra Institute of Hong Kong

Dilation Exploration by GeoGebra Institute of Hong Kong
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2014-08-03 10:06
PolygonTransformationGeometric Construction
In collections Symmetry, Transformation and Tessellation
This example demonstrates the effect of dilation on shapes. Key math concepts include dilation center, scale factor, and similarity of figures. Construction involves commands like Polygon and Dilate, using objects such as vertices A, B, C, D, polygon poly1, center O, scale factor r, and transformed vertices A', B', C', D'. Suitable for middle school and high school students learning geometric transformations and properties of similar figures, or for teaching coordinate transformations in analytical geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Dilate(A, r, O) → A'
  3. Dilate(B, r, O) → B'
  4. Dilate(C, r, O) → C'
  5. Dilate(D, r, O) → D'
  6. Polygon(A', B', C', D') → poly1', a', b', c', d'

AI Drawing Prompt Reference

Draw a quadrilateral and then scale it from an external point with a certain ratio to form a new quadrilateral, demonstrating the effect of dilation and similarity.
The prompt above was compiled from the original drawing commands and is for reference only.