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Area Calculations & Infinite Questions for Rectangle, Triangle, Trapezoid, Circl

Area Calculations & Infinite Questions for Rectangle, Triangle, Trapezoid, Circl
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2017-05-07 13:58
CircleGeometric Construction
This example demonstrates area calculations and visualizations for rectangles, triangles, trapezoids, circles, and sectors using GeoGebra, along with exploring infinite problems. Core math concepts include area formulas, geometric constructions, random variables, and trigonometry. Construction highlights the use of commands/objects like Random, Segment, Line, OrthogonalLine, Intersect, Circle, Point, Midpoint, Polygon, PointIn, Textfield, Cell, Distance, Vector, Rotate, CircleArc, and Angle. Suitable for high school and above students for geometric computation and concept learning.

GeoGebra Commands & Parameters

  1. Random(14, 22) → l
  2. Random(0, 20) → e
  3. Random(-2, 8) → d
  4. Random(8, 13) → c
  5. Random(0, 5) → b
  6. Random(0, 5) → a
  7. Segment(A, B) → f
  8. Line(D, f) → p
  9. OrthogonalLine(B, p) → s
  10. Intersect(p, s) → G
  11. OrthogonalLine(A, p) → r
  12. Intersect(p, r) → E
  13. Circle(E, G) → q
  14. Point(q) → secpoint1
  15. Midpoint(A, B) → C
  16. Polygon(A, D, B) → poly1, b_1, a_1, d_1
  17. OrthogonalLine(D, f) → g
  18. Line(A, B) → h
  19. OrthogonalLine(D, h) → i
  20. Intersect(h, i) → F
  21. Segment(D, F) → j
  22. Segment(A, F) → k
  23. PointIn(poly1) → Pointpoly1
  24. Textfield(area) → InputBox1
  25. Random(1, 14) → A16
  26. Cell(2, A16) → B16
  27. Polygon(A, E, G, B) → poly2, a_2, e_1, g_1, b_2
  28. PointIn(poly2) → Pointpoly2_1
  29. PointIn(poly2) → Pointpoly2
  30. Textfield(v) → InputBox2
  31. Distance(E, G) → w
  32. Vector(E, G) → u_1
  33. PointIn(q) → Pointq
  34. Segment(secpoint1, E) → leg1
  35. Rotate(secpoint1, randomangle, E) → secpoint2
  36. Segment(secpoint2, E) → leg2
  37. CircleArc(E, secpoint1, secpoint2) → sectorarc
  38. Angle(secpoint1, E, secpoint2) → sectoranglelabel
  39. Segment(TrapA, TrapB) → Trapbase
  40. Segment(TrapC, TrapB) → Trapright
  41. Line(TrapC, Trapbase) → Traptopparallel
  42. Segment(TrapD, TrapA) → Trapleft
  43. Segment(TrapD, TrapC) → traptop
  44. Midpoint(TrapA, TrapB) → trapbasemidpoint
  45. Distance(trapbasemidpoint, traptop) → distancetrapbasemidpointtraptop
  46. OrthogonalLine(trapbasemidpoint, Trapbase) → i_1
  47. Intersect(traptop, i_1) → traptopmidpoint
  48. Segment(traptopmidpoint, trapbasemidpoint) → trapperpendicularheightline
  49. Polygon(TrapA, TrapB, TrapC, TrapD) → poly3, trapa, trapb, trapc, trapd
  50. Line(G, E) → j_1
  51. Intersect(q, j_1) → H, I
  52. Segment(I, G) → diameter