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Axial Symmetry Game

Axial Symmetry Game
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2015-11-08 05:32
PolygonTransformationGeometric ConstructionSlider Animation
This example demonstrates the transformation and properties of axially symmetric figures. It involves core mathematical concepts such as symmetry axes, polygons, reflection transformations, and random generation. GeoGebra commands and objects like Random, Line, Mirror, Polygon, and Point are used in its construction. Suitable for middle school and above students to understand geometric transformations and symmetry, or for teaching mathematical game design.

GeoGebra Commands & Parameters

  1. Random(-2, 2) → n
  2. Random(-2, 2) → m
  3. Random(-1, 1) → k
  4. Random(-5, 5) → j
  5. Random(-3, 3) → b
  6. Random(-3, 3) → c
  7. Random(-3, 3) → d
  8. Random(-3, 3) → e
  9. Random(-3, 3) → f
  10. Random(-3, 3) → g
  11. Random(-3, 3) → h
  12. Random(-5, 5) → l
  13. Line(F, E) → L
  14. Mirror(C, L) → C'
  15. Mirror(B, L) → B'
  16. Mirror(A, L) → A'
  17. Mirror(D, L) → D'
  18. PolyLine(G, H, I, J) → p
  19. If(G ≟ A' ∧ H ≟ B' ∧ I ≟ C' ∧ J ≟ D', 1) → s
  20. PolyLine(A, B, C, D) → i
  21. PolyLine(A', B', C', D') → q
  22. Polygon(K, M, N) → poly1, n_1, k_1, m_1
  23. Point(k_1) → O
  24. Point(n_1) → S
  25. Polygon(M, O, P, Q, R, S) → poly2, m_2, o, p_1, q_1, r, s_1
  26. Point(n_1) → T
  27. Polygon(T, U, V, W, K) → poly3, t, u, v, w, k_2
  28. Point(t) → Z
  29. Point(u) → D_1
  30. Polygon(Z, A_1, B_1, C_1, D_1, U) → poly4, z_1, a_1, b_1, c_1, d_1, u_1
  31. Circle(G_1, e_1) → f_1

AI Drawing Prompt Reference

Create an axial symmetry game. First, randomly generate points K and M, then draw a triangle poly1 with K and M as vertices. Next, generate points O and S, and draw a pentagon poly2 with O and S as vertices. Then, generate points T and U, and draw a pentagon poly3 with T and U as vertices. Finally, generate points Z, A1, B1, C1, D1, and U, and draw a pentagon poly4 with these points as vertices. The entire figure includes multiple randomly generated points and pentagons, as well as their symmetry relationships.
The prompt above was compiled from the original drawing commands and is for reference only.