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Explore Triangles

Explore Triangles
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2016-09-22 16:14
TriangleVectorGeometric Construction
In collections dps_bhavna Sorting Geometric Figures
This example demonstrates geometric transformations of triangles by dragging them into the gray area. Key mathematical concepts include properties of triangles and geometric construction. Commands used include Point, Line, Polygon, Centroid, PointIn, Circle, Segment, Rotate. Suitable for middle school and above students to learn about triangle transformations.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(yAxis) → B
  3. Line(A, B) → f
  4. Polygon(C, D, 3) → Vieleck1, g, h, i, E
  5. Polygon(F, G, 4) → Vieleck2, j, k, l, m, H, I
  6. Polygon(J, K, 3) → Vieleck3, n, p, q, L
  7. Point(Circle[P_1, 1.4669696656713795]) → Q_1
  8. Polygon(P_1, Q_1, R_1) → poly1, r_1, p_2, q_2
  9. Point(Circle[S_1, 1.7274258305351349]) → T_1
  10. Polygon(S_1, T_1, U_1) → poly2, u_1, s_1, t_1
  11. Point(Circle[V_1, 1.3423859355639867]) → W_1
  12. Polygon(V_1, W_1, Z_1) → poly3, z_1, v_1, w_1
  13. Point(Circle[A_2, 2.1160340261914503]) → B_2
  14. Polygon(A_2, B_2, C_2) → poly4, c_2, a_2, b_2
  15. Centroid(poly1) → D_2
  16. Centroid(poly2) → E_2
  17. Centroid(poly3) → F_2
  18. Centroid(poly4) → G_2
  19. Centroid(Vieleck3) → H_2
  20. Polygon(U_2, V_2, W_2, Z_2) → Vieleck4, u_2, v_2, w_2, z_2
  21. PointIn(Vieleck4) → A_3
  22. Circle(A_3, 0.5) → c_1
  23. PointIn(Vieleck4) → B_3
  24. Circle(B_3, 0.8) → c
  25. PointIn(Vieleck4) → C_3
  26. Circle(C_3, 1) → d_1
  27. PointIn(Vieleck4) → D_3
  28. Point(Circle[D_3, 1.25]) → E_3
  29. Segment(D_3, E_3) → r
  30. Rotate(E_3, 90°, D_3) → F_3
  31. Rotate(E_3, 180°, D_3) → G_3
  32. Rotate(E_3, 270°, D_3) → H_3
  33. Polygon(H_3, E_3, F_3, G_3) → Vieleck5, h_3, e_3, f_3, g_3
  34. PointIn(Vieleck4) → I_3
  35. Point(Circle[I_3, 0.8]) → J_3
  36. Segment(I_3, J_3) → s
  37. Rotate(J_3, 90°, I_3) → K_3
  38. Rotate(J_3, 180°, I_3) → L_3
  39. Rotate(J_3, 270°, I_3) → M_3
  40. Polygon(J_3, K_3, L_3, M_3) → Vieleck6, j_3, k_3, l_3, m_3
  41. PointIn(Vieleck4) → E_1
  42. Point(Circle[E_1, 1.2]) → F_1
  43. Segment(E_1, F_1) → t
  44. Rotate(F_1, 60°, E_1) → N_3
  45. Rotate(F_1, 180°, E_1) → O_3
  46. Rotate(F_1, 240°, E_1) → P_3
  47. Polygon(F_1, N_3, O_3, P_3) → Vieleck7, f_1, n_3, o_3, p_3
  48. PointIn(Vieleck4) → Q_3
  49. Point(Circle[Q_3, 1.5]) → R_3
  50. Segment(Q_3, R_3) → b
  51. Rotate(R_3, 30°, Q_3) → S_3
  52. Rotate(R_3, 180°, Q_3) → T_3
  53. Rotate(R_3, 210°, Q_3) → U_3
  54. Polygon(R_3, S_3, T_3, U_3) → Vieleck8, r_3, s_3, t_3, u_3