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Kite Folding

Kite Folding
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2018-02-26 17:42
PolygonTransformationGeometric Construction
In collections Folding paper, doing geometry figures
This example demonstrates the folding process of a kite. Key mathematical concepts include the properties and symmetry of kites. Using GeoGebra commands such as Polygon, Segment, Rotate, etc., a kite can be constructed and its folding effect observed. Suitable for students at the junior high school level and above to learn about geometric transformations and symmetry.

GeoGebra Commands & Parameters

  1. Polygon(A, C, D, B) → vierhoek1, a, c, d, b
  2. Segment(B, E) → f
  3. CircleArc(B, DD, D) → e
  4. Polygon(A, C, E, B) → vierhoek2, a_1, c_1, e_1, b_1
  5. Polygon(B, E, D) → driehoek1, d_1, b_2, e_2
  6. Rotate(B, (((s - 1) * 180))°, d_1) → B'
  7. Rotate(E, (((s - 1) * 180))°, d_1) → E'
  8. Rotate(D, (((s - 1) * 180))°, d_1) → D'
  9. Polygon(B', E', D') → driehoek1', d', b', e'
  10. Polygon(DD, E, B) → driehoek2, b_3, dd, e_3
  11. LineBisector(DD, C) → g
  12. Intersect(g, a_1) → F
  13. Intersect(g, e_1) → G
  14. Segment(F, G) → h
  15. CircleArc(D, DD, C) → k
  16. Polygon(B, A, F, G) → vierhoek3, b_4, a_2, f_1, g_1
  17. Polygon(F, C, E, G) → vierhoek4, f_2, c_2, e_4, g_2
  18. Rotate(F, (((-(s - 3)) * 180))°, f_1) → F'
  19. Rotate(C, (((-(s - 3)) * 180))°, f_1) → C'
  20. Rotate(E, (((-(s - 3)) * 180))°, f_1) → E'_1
  21. Rotate(G, (((-(s - 3)) * 180))°, f_1) → G'
  22. Polygon(F', C', E'_1, G') → vierhoek4', f', c', e'_1, g'
  23. Mirror(E, f_1) → EE
  24. Polygon(DD, F, G, EE) → vierhoek5, dd_1, f_3, g_3, ee
  25. Intersect(b_3, h) → H
  26. Polygon(DD, H, G, B) → vierhoek6, dd_2, h_1, g_4, b_5
  27. Segment(DD, H) → i
  28. OrthogonalLine(DD, f_1) → j
  29. Intersect(j, f_1) → I
  30. Segment(DD, I) → l
  31. Polygon(B, DD, I, G) → vierhoek7, b_6, dd_3, i_1, g_5
  32. Intersect(b_6, dd_3) → J
  33. Polygon(J, A, F, I) → vierhoek8, j_1, a_3, f_4, i_2
  34. Rotate(J, (((s - 5) * 180))°, i_2) → J'
  35. Rotate(A, (((s - 5) * 180))°, i_2) → A'
  36. Rotate(F, (((s - 5) * 180))°, i_2) → F'_1
  37. Rotate(I, (((s - 5) * 180))°, i_2) → I'
  38. Polygon(J', A', F'_1, I') → vierhoek8', j', a', f'_1, i'
  39. Polygon(J, I, H) → driehoek3, h_2, j_2, i_3
  40. Polygon(DD, I, G, EE) → vierhoek9, dd_4, i_4, g_6, ee_1
  41. CircleArc(DD, A, EE) → p
  42. Segment(B, DD) → m
  43. Segment(I, DD) → n
  44. Segment(I, G) → q
  45. Segment(B, G) → r
  46. Line(B, I) → t

AI Drawing Prompt Reference

Draw a kite folding process, showing the symmetry and folding effect of the kite. Start by drawing the basic shape of the kite, then use rotation and reflection to demonstrate the folding process. Key objects include the edges, vertices, angle bisectors, and intersection points of the kite, as well as the new shapes formed after folding. The construction order is to first draw the kite, then perform rotations and reflections, and finally connect the key points to form the new shapes.
The prompt above was compiled from the original drawing commands and is for reference only.