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Dilation Exploration: Effects of Center and Scale Factor

Dilation Exploration: Effects of Center and Scale Factor
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2013-09-10 23:32
TriangleCoordinate GeometryTransformation
In collections Geometry Review Similarity & Right Triangle Trigonometry Similarity, Right Triangles, and Trigonometry (SRT) Cluster Transformations/Symmetry Dilations
This example explores the effects of the center of dilation and the scale factor on a figure, helping students understand the concept of dilation. Students can observe how a triangle changes under different centers and scale factors. Commands like Segment, Dilate, and Line are used for construction. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Segment(K, A) → a
  2. Dilate(pic3, k, B) → pic3'
  3. Line(B, K) → b
  4. Line(B, A) → c
  5. Dilate(K, k, B) → K'
  6. Dilate(A, k, B) → A'
  7. Segment(K', A') → a'
  8. Segment(B, K') → d
  9. Segment(B, A') → e
  10. Segment(K', K) → i
  11. Segment(K, B) → j
  12. Segment(A', A) → l
  13. Segment(A, B) → m
  14. Segment(B, K) → n
  15. Segment(B, A) → p