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Part of the Ratio Given

Part of the Ratio Given
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2017-01-09 23:51
PolygonInequality
In collections Concrete-Pictorial-Abstract and the Teaching for Mastery
This example demonstrates how to construct polygons and illustrate partial ratio relationships using GeoGebra. Key math concepts include ratios, polygon construction, midpoint calculation, and inequality representation. Construction highlights involve commands like Polygon, Segment, Textfield, Midpoint, and Random, along with objects A, B, C, etc. Suitable for middle school and above students learning ratios, geometric constructions, and inequalities.

GeoGebra Commands & Parameters

  1. Polygon(B, A, C, D) → poly1, b, a, c, d
  2. Segment(B1, A1) → f
  3. Segment(B2, A2) → g
  4. Segment(B3, A3) → h
  5. Segment(B4, A4) → i
  6. Segment(B5, A5) → j
  7. Segment(B6, A6) → k
  8. Segment(B7, A7) → l
  9. Segment(B8, A8) → m
  10. Segment(B9, A9) → n
  11. Segment(B10, A10) → p
  12. Segment(B11, A11) → q
  13. Segment(C1, D1) → r
  14. Segment(D2, C2) → s
  15. Segment(D3, C3) → t
  16. Segment(D4, C4) → f_1
  17. Segment(F1, E1) → g_1
  18. Segment(F2, E2) → h_1
  19. Segment(F3, E3) → i_1
  20. Segment(F4, E4) → j_1
  21. Segment(F5, E5) → k_1
  22. Segment(F6, E6) → l_1
  23. Segment(H1, G1) → m_1
  24. Segment(H2, G2) → n_1
  25. Segment(H3, G3) → p_1
  26. Segment(H4, G4) → q_1
  27. Segment(J1, I1) → r_1
  28. Segment(J2, I2) → s_1
  29. Segment(J4, I4) → t_1
  30. Segment(J5, I5) → a_1
  31. Segment(J7, I7) → b_1
  32. Segment(J8, I8) → c_1
  33. Segment(D6, C6) → d_1
  34. Segment(D7, C7) → e_1
  35. Segment(D8, C8) → f_2
  36. Segment(D9, C9) → g_2
  37. Segment(L1, K1) → h_2
  38. Segment(L2, K2) → i_2
  39. Segment(L3, K3) → j_2
  40. Segment(L4, K4) → k_2
  41. Segment(L5, K5) → l_2
  42. Segment(L6, K6) → m_2
  43. Segment(L7, K7) → n_2
  44. Segment(L8, K8) → p_2
  45. Segment(L9, K9) → q_2
  46. Segment(L10, K10) → r_2
  47. Textfield(N1) → InputBox1
  48. Segment(E, F) → s_2
  49. Segment(E_1, F_1) → s_3
  50. Midpoint(I, K) → L
  51. Midpoint(K, J) → M
  52. Segment(I, K) → a_2
  53. Segment(K, J) → t_2
  54. Random(3, 12) → O1
  55. Random(1, O1 - 1) → O2
  56. Random(2, 12) → O4

AI Drawing Prompt Reference

Draw a polygon and illustrate partial ratio relationships. Construct a polygon first, then draw multiple segments from its vertices to form regions representing inequalities. Label key points and segments, and use a text box to input ratio values to explain the ratio relationships within the polygon.
The prompt above was compiled from the original drawing commands and is for reference only.