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Symmetry Transformation Demo

Symmetry Transformation Demo
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2016-11-30 15:54
PolygonTransformationGeometric Construction
This example demonstrates the symmetry transformation of polygons through rotation, dilation, and segment connection. It involves core mathematical concepts like symmetry, transformation, polygon construction, rotation, and dilation. The construction uses GeoGebra commands/objects such as Polygon, Rotate, Dilate, and Segment. Suitable for high school mathematics teaching to understand geometric transformations and symmetry principles.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → çokgen1, f, g, h, i, C, D
  2. Rotate(çokgen1, (-(60°)), A) → çokgen1'
  3. Polygon(E, F, G) → çokgen2, g_1, e, f_1
  4. Dilate(E, 2, H) → E'
  5. Dilate(F, 2, H) → F'
  6. Dilate(G, 2, H) → G'
  7. Polygon(E', F', G') → çokgen2', g', e', f'
  8. Segment(H, E) → j
  9. Segment(E, E') → k
  10. Segment(H, G) → l
  11. Segment(G, G') → m
  12. Segment(H, F) → n
  13. Segment(F, F') → p

AI Drawing Prompt Reference

Draw a square, then rotate it 60 degrees around a point. Construct a triangle, and dilate each of its vertices by a factor of 2 around another point. Use the new vertices to form a similar triangle. Finally, draw segments connecting corresponding vertices of the original and dilated triangles.
The prompt above was compiled from the original drawing commands and is for reference only.