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3D Dilation with Animation

3D Dilation with Animation
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2020-02-19 23:37
Solid GeometryTransformationGeometric ConstructionSlider Animation
This example demonstrates 3D dilation. Key mathematical concepts include dilation, geometric transformations, and 3D geometry. Using commands like Polygon, Dilate, Mirror, and Prism, the example constructs dilated shapes. Suitable for high school and above students learning geometric transformations and 3D geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E) → poly1, a, b, c, d, e
  2. Dilate(A, n, F) → A'
  3. Dilate(B, n, F) → B'
  4. Dilate(C, n, F) → C'
  5. Dilate(D, n, F) → D'
  6. Dilate(E, n, F) → E'
  7. Polygon(A', B', C', D', E') → poly1', a', b', c', d', e'
  8. Mirror(A, f) → A'_1
  9. Mirror(B, f) → B'_1
  10. Mirror(C, f) → C'_1
  11. Mirror(D, f) → D'_1
  12. Mirror(E, f) → E'_1
  13. Polygon(A'_1, B'_1, C'_1, D'_1, E'_1) → poly1'_1, a'_1, b'_1, c'_1, d'_1, e'_1
  14. Mirror(xOyPlane, f) → xOyPlane'
  15. Mirror(f, zAxis) →
  16. Prism(poly1'_1, 1.7894150296819555) → g, G, face2, faceGHIJK, edge1, edge2, edge3, edge4, edge5, edgeGH, edgeHI, edgeIJ, H, edgeJK, edgeGK, I, J, K, face1, face3, face4, face5