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A4 to A0 Paper Format Proportions

A4 to A0 Paper Format Proportions
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2018-02-26 17:37
PolygonCoordinate GeometryGeometric Construction
In collections Folding paper, doing geometry figures
This example demonstrates the geometric proportions and size changes of paper formats from A4 to A0. It involves core math concepts like ratios, similar polygons, and geometric construction. Key GeoGebra commands used include Intersect, Point, Polygon, Segment, and Midpoint to construct and visualize the shapes and ratios of different paper sizes. Suitable for high school students learning geometric proportions and real-world applications.

GeoGebra Commands & Parameters

  1. ConstructionStep() → stap
  2. Intersect(xAxis, yAxis) → A
  3. Point(xAxis) → B
  4. Polygon(A, B, D, C) → vierhoek1, a, b, d, c
  5. Polygon(A, E, G, F) → vierhoek2, a_1, e, g, f
  6. Segment((0, 1), (sqrt(2), 1)) → h
  7. Segment(A, G) → l_1
  8. Point(xAxis) → H
  9. Polygon(A, H, J, I) → vierhoek3, a_2, h_1, j, i
  10. Midpoint(j) → K
  11. Midpoint(h_1) → L
  12. Segment(K, D) → k
  13. Segment(D, L) → l
  14. Segment(A, J) → m_1
  15. Polygon(A, M, O, N) → vierhoek4, a_3, m, o, n
  16. Midpoint(o) → P
  17. Midpoint(m) → Q
  18. Segment(P, E) → p
  19. Point(c) → R
  20. Point(n) → S
  21. Segment(S, U) → q
  22. Segment(F, Q) → r
  23. Segment(R, T) → s
  24. Segment(A, O) → n_1
  25. Point(xAxis) → V
  26. Polygon(A, V, Z, A_1) → vierhoek5, a_4, v, z_1, a_5
  27. Segment(B_1, W) → t
  28. Segment(B, C_1) → f_1
  29. Segment(H, D_1) → g_1
  30. Segment(C, H_1) → i_1
  31. Segment(I, J_1) → j_1
  32. Segment(E_1, I_1) → k_1
  33. Segment(A, Z) → p_1