MathPlotAI Logo MathPlotAI

Tangram: Build the Parallelogram

Tangram: Build the Parallelogram
Loading the math board and drawing, please wait…
2016-09-22 16:36
TrianglePolygonAngleTransformationGeometric Construction
In collections Tangram with Geometric Figures
① This example demonstrates how to construct a parallelogram by dragging smaller colored tangram pieces onto a grey outline, combining shapes to fill the target figure. ② Core math concepts include parallelograms, squares, triangles, ratios, geometric transformations (rotation and translation), and area conservation, involving polygons, segments, and angles. ③ Construction details: Based on the summary, GeoGebra commands such as Point, Distance, Polygon, Segment, LineBisector, Intersect, Circle, Line, and OrthogonalLine are used, along with objects like poly12, poly8, and various points and segments, to build the tangram pieces and the target parallelogram. ④ Suitable for upper elementary to middle school students, this resource aids in geometry exploration, shape recognition, and understanding of area and proportional relationships, and can be used as an interactive math activity or game-based learning tool.

GeoGebra Commands & Parameters

  1. Point(Circle[S, 5]) → T
  2. Point(Circle[L, 3.54]) → O
  3. Distance(L, O) → o
  4. Point(Circle[C_2, o]) → D_2
  5. Point(Circle[D_2, o]) → G_2
  6. Polygon(C_2, D_2, 4) → poly12, g_3, h_3, i_3, j_3, E_2, F_2
  7. Point(Circle[F_2, o]) → H_2
  8. Point(Circle[H, 5]) → L_1
  9. Polygon(H, L_1, 4) → poly8, k_2, l_2, m_2, n_2, M_1, N_1
  10. Point(Circle[D, 10]) → B
  11. Segment(D, B) → j
  12. LineBisector(j) → j_2
  13. Intersect(j_2, j) → R
  14. Point(Circle[K, 5]) → G_1
  15. Segment(K, G_1) → g_2
  16. LineBisector(g_2) → k
  17. Intersect(j, k) → C
  18. Circle(R, 5) → e_2
  19. Intersect(e_2, j_2) → J, A_1
  20. Point(Circle[A, 10]) → H_1
  21. Segment(A, H_1) → h_2
  22. LineBisector(h_2) → i_2
  23. Intersect(i_2, h_2) → I_1
  24. Circle(I_1, 5) → d_2
  25. Intersect(d_2, i_2) → J_1, K_1
  26. Polygon(A, H_1, K_1) → poly1, a, b, c
  27. Polygon(B, D, J) → poly2, f, d, e
  28. Polygon(H, L_1, M_1) → poly3, g, h, i
  29. Line(D, E) → m
  30. Circle(K, 3.54) → q
  31. Intersect(q, k, 2) → N
  32. Polygon(N, K, G_1) → poly4, j_1, k_1, n_1
  33. Segment(L, O) → l
  34. Polygon(L, O, 4) → poly5, p, r, s, t, P, Q
  35. Segment(S, T) → g_1
  36. LineBisector(g_1) → h_1
  37. Circle(S, 3.54) → c_1
  38. Intersect(c_1, h_1) → U, V
  39. Polygon(S, T, V) → poly6, v, s_1, t_1
  40. Point(Circle[W, 5]) → Z
  41. Segment(W, Z) → i_1
  42. Line(F, H) → p_1
  43. OrthogonalLine(Z, i_1) → r_1
  44. Circle(Z, 2.5) → d_1
  45. Intersect(d_1, r_1) → D_1, E_1
  46. Line(E_1, i_1) → a_1
  47. Circle(Z, 3.54) → e_1
  48. Intersect(e_1, a_1, 2) → C_1
  49. Line(Z, C_1) → b_1
  50. Line(W, b_1) → f_2
  51. Intersect(f_2, a_1) → F_1
  52. Polygon(W, Z, C_1, F_1) → poly7, w_1, z_1, c_2, f_3
  53. Polygon(B_2, Z_1, B_1, A_2) → poly9, m_1, s_2, t_2, a_2
  54. Segment(H, L_1) → q_1
  55. Polygon(M, O_1, W_1) → poly10, n, f_1, l_1
  56. Polygon(O_1, M, P_1) → poly11, p_2, q_2, r_2
  57. Segment(C_2, D_2) → b_2
  58. Segment(D_2, G_2) → k_3
  59. Segment(F_2, H_2) → l_3
  60. Polygon(D_2, G_2, E_2) → poly13, e_3, d_3, g_4
  61. Polygon(H_2, C_2, F_2) → poly14, f_4, h_4, c_3

AI Drawing Prompt Reference

Draw a parallelogram using tangram pieces. Start by creating a gray outline, then drag and combine different colored tangram pieces to form the parallelogram. Use triangles, squares, and rhombuses, and apply rotation and translation transformations to ensure all shapes fit perfectly. Finally, make sure all edges align to complete the parallelogram.
The prompt above was compiled from the original drawing commands and is for reference only.