MathPlotAI Logo MathPlotAI

Parallelogram, Triangle, Quadrilateral Area

Parallelogram, Triangle, Quadrilateral Area
Loading the math board and drawing, please wait…
2017-04-09 03:49
PolygonGeometric Construction
This example demonstrates the area calculation of parallelograms, triangles, and quadrilaterals. Key mathematical concepts include geometric construction, area formulas, and polygons. Using GeoGebra commands such as Point, Segment, and Polygon, dynamic construction of these shapes and their area calculations can be performed. Suitable for middle school and above students learning geometry and area calculation.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Segment(A, C) → f
  4. Segment(B, C) → g
  5. Segment(A, B) → h
  6. Point(f) → D
  7. Line(D, h) → i
  8. Line(D, g) → j
  9. Intersect(j, h) → E
  10. Intersect(i, g) → F
  11. Segment(A, F) → k
  12. Segment(C, E) → l
  13. Intersect(k, l) → G
  14. Segment(E, D) → m
  15. Segment(B, F) → n
  16. Segment(D, F) → p
  17. Segment(E, B) → q
  18. Segment(A, G) → r
  19. Segment(G, C) → s
  20. Segment(G, F) → t
  21. Segment(G, E) → a
  22. Segment(A, E) → b
  23. Segment(F, C) → c
  24. Polygon(A, G, C) → poly1, c_1, a_1, g_1
  25. Polygon(E, G, F, B) → poly2, e, g_2, f_1, b_1
  26. Polygon(A, G, D) → poly3, d, a_2, g_3
  27. Polygon(G, D, C) → poly4, c_2, g_4, d_1
  28. Polygon(G, B, E) → poly5, e_1, g_5, b_2
  29. Polygon(G, F, B) → poly6, b_3, g_6, f_2
  30. Segment(D, G) → h_1
  31. Segment(G, B) → i_1
  32. Line(D, r) → j_1
  33. Line(A, B) → k_1
  34. Intersect(j_1, k_1) → H
  35. If(2 ≤ w < 3, Polygon[Dilate[D, 3 - w, H], A, G], Polygon[H, A, G]) → poly7
  36. If(4 ≤ w < 5, Polygon[G, Translate[Dilate[A, 5 - w, B], Vector[A, H]], Dilate[A, 5 - w, B]], Polygon[G, E, B]) → poly8
  37. Line(D, s) → l_1
  38. Line(C, B) → m_1
  39. Intersect(l_1, m_1) → I
  40. If(7 ≤ w < 8, Polygon[Dilate[D, 8 - w, I], C, G], Polygon[I, C, G]) → poly10
  41. If(9 ≤ w < 10, Polygon[G, Translate[Dilate[C, 10 - w, B], Vector[C, I]], Dilate[C, 10 - w, B]], Polygon[G, F, B]) → poly11