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Area - Perimeter Exploration

Area - Perimeter Exploration
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2017-11-13 06:02
PolygonSolid GeometryGeometric Construction
This example demonstrates the calculation and relationship of area and perimeter for shapes like polygons and cylinders. It involves core math concepts including area, perimeter, geometric construction, and solid geometry. The construction uses commands like Polygon, OrthogonalLine, Intersect, Segment, Area, and Perimeter from GeoGebra. Suitable for high school students and math enthusiasts to understand geometric properties and calculations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. OrthogonalLine(H, d) → f
  3. OrthogonalLine(H, c) → g
  4. OrthogonalLine(E, a) → h
  5. OrthogonalLine(E, d) → i
  6. OrthogonalLine(G, c) → j
  7. OrthogonalLine(G, b) → k
  8. OrthogonalLine(F, a) → l
  9. OrthogonalLine(F, b) → m
  10. Intersect(f, poly1) → J, K
  11. Intersect(g, c) → L
  12. Segment(H, J) → n
  13. Segment(H, L) → p
  14. Intersect(k, b) → M
  15. Intersect(j, c) → N
  16. Segment(N, G) → q
  17. Segment(G, M) → r
  18. Intersect(m, b) → O
  19. Intersect(l, a) → P
  20. Segment(F, O) → s
  21. Segment(F, P) → t
  22. Intersect(i, poly1) → R, S
  23. Intersect(h, a) → T
  24. Segment(E, R) → e
  25. Segment(E, T) → f_1
  26. Polygon(J, H, E, R, L, N, G, M, O, F, P, T) → poly2, j_1, t_1, e_1, r_1, h_1, l_1, n_1, g_1, m_1, o, f_2, p_1
  27. Area(poly2) → u
  28. Perimeter(poly2) → v
  29. Polygon((x(G), y(G)), (x(E), y(G)), (x(E), y(E)), (x(G), y(E))) → poly3, i_1, k_1, q_1, s_1