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Figure Matching and Transformation

Figure Matching and Transformation
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2016-09-19 19:48
Coordinate GeometryGeometric Construction
In collections Recognize, Name and Sort Geometric Figures Recognizing Geometric Figures
This example demonstrates figure matching and transformation by dragging and rotating colored figures to overlap a grey figure. Key math concepts include geometric transformations, coordinate geometry, and shape recognition. Construction involves commands like Circle, Point, Segment, OrthogonalLine, Intersect, Polygon, Rechteck, Dreieck, Quadrat. Suitable for middle school and above, ideal for teaching geometric transformations and shape recognition.

GeoGebra Commands & Parameters

  1. Circle(A, 2) → c
  2. Point(Circle[A, 4]) → E
  3. Segment(A, E) → j
  4. OrthogonalLine(A, j) → f
  5. OrthogonalLine(E, j) → g
  6. Intersect(c, f) → B, C
  7. OrthogonalLine(C, f) → h
  8. Intersect(g, h) → D
  9. Polygon(A, E, D, C) → Vieleck1, a, e, d, c_1
  10. Rechteck(F) → Vieleck2, G
  11. Rechteck(H) → Vieleck3, I
  12. Rechteck(J) → Vieleck4, K
  13. Rechteck(L) → Vieleck5, M
  14. Rechteck(N) → Vieleck6, O
  15. Rechteck(P) → Vieleck7, Q
  16. Point(Circle[R, 3]) → S
  17. Segment(R, S) → i
  18. Circle(R, S) → k
  19. Circle(S, R) → p
  20. Intersect(k, p, 1) → T
  21. Polygon(R, S, T) → Vieleck8, t, r, s
  22. Dreieck(U) → Vieleck9, V
  23. Dreieck(W) → Vieleck10, Z
  24. Dreieck(A_1) → Vieleck11, B_1
  25. Dreieck(C_1) → Vieleck12, D_1
  26. Dreieck(E_1) → Vieleck13, F_1
  27. Circle(G_1, 1.5) → q
  28. Circle(H_1, 1.5) → d_1
  29. Circle(I_1, 1.5) → e_1
  30. Circle(J_1, 1.5) → f_1
  31. Circle(K_1, 1.5) → g_1
  32. Circle(L_1, 1.5) → h_1
  33. Point(Circle[M_1, 3]) → N_1
  34. Segment(M_1, N_1) → l
  35. OrthogonalLine(M_1, l) → m
  36. OrthogonalLine(N_1, l) → n
  37. Circle(M_1, N_1) → k_1
  38. Circle(N_1, M_1) → p_1
  39. Intersect(k_1, m, 2) → O_1
  40. Intersect(p_1, n, 2) → P_1
  41. Polygon(O_1, M_1, N_1, P_1) → Vieleck14, o_1, m_1, n_1, p_2
  42. Quadrat(Q_1) → Vieleck15, R_1
  43. Quadrat(S_1) → Vieleck16, T_1
  44. Quadrat(U_1) → Vieleck17, V_1
  45. Quadrat(W_1) → Vieleck18, Z_1
  46. Quadrat(A_2) → Vieleck19, B_2