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Dilation with Movable Center by Tim Brister

Dilation with Movable Center by Tim Brister
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2013-12-15 07:19
TransformationGeometric ConstructionSlider Animation
In collections Transformations and Symmetry Transformations and Symmetry
This example demonstrates dilation with a movable center and a slider for the dilation factor. Key mathematical concepts include similarity transformation, center, and dilation factor. It uses commands like Polygon and Dilate in GeoGebra. Suitable for middle school and above students to learn about similarity transformations and their applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → PreImage, c, a_1, b
  2. Dilate(A, DilationFactor, Center) → A'
  3. Dilate(B, DilationFactor, Center) → B'
  4. Dilate(C, DilationFactor, Center) → C'
  5. Polygon(A', B', C') → Image, c', a', b'

AI Drawing Prompt Reference

Draw a triangle ABC, then perform a dilation with a movable center and a slider-controlled scale factor. First, draw triangle ABC, then dilate it based on the center point and the scale factor set by the slider to obtain the dilated triangle A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.