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Triangle Dilation Exploration

Triangle Dilation Exploration
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2014-06-27 02:40
TriangleTransformationGeometric Construction
In collections Transformations
This example demonstrates the dilation of a triangle with positive, negative, and fractions less than one scale factor. Key math concepts include transformation, similarity, and proportionality. The construction uses Polygon, Point, and Dilate commands with objects like A, B, C, poly1, etc. Suitable for high school students exploring geometric transformations and similarity in a classroom or self-learning setting.

GeoGebra Commands & Parameters

  1. Polygon(A, C, B) → poly1, b, a, c
  2. Point(yAxis) → Origin
  3. Dilate(A, k, Origin) → A'
  4. Dilate(C, k, Origin) → C'
  5. Dilate(B, k, Origin) → B'
  6. Polygon(A', C', B') → poly1', b', a', c'

AI Drawing Prompt Reference

Draw a triangle ABC, then use the origin as the center of dilation and apply positive, negative, and fractional scale factors to dilate the triangle, creating a new triangle A'B'C'. Observe the changes.
The prompt above was compiled from the original drawing commands and is for reference only.