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Dilation Animation by GeoGebra Institute of Hong Kong

Dilation Animation by GeoGebra Institute of Hong Kong
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2014-08-03 16:14
SequenceTransformationGeometric Construction
In collections Symmetry, Transformation and Tessellation Dilation Animations
This example demonstrates the effects of multiple dilations. The key mathematical concept involved is geometric transformations, specifically scaling. Using GeoGebra commands Circle and Sequence, a series of dilation transformations are constructed. Suitable for middle school and above students or teachers for teaching geometric transformations.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Sequence(Dilate[c, (0.1 * n) + k, O], n, 0, 9) → list1

AI Drawing Prompt Reference

Draw a circle and then perform multiple scaling transformations centered at point O, with scaling factors of 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, and 0.9 respectively, to create a series of concentric circles that gradually get smaller.
The prompt above was compiled from the original drawing commands and is for reference only.