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Perimeter Challenge

Perimeter Challenge
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2016-10-21 18:50
SequenceCoordinate GeometryLimitProbability & StatisticsGeometric Construction
This example demonstrates how to construct and analyze the perimeter of a rectangle using GeoGebra, involving core math concepts like perimeter calculation, coordinate geometry, stochastic processes, and limits. Key GeoGebra commands and objects used include Sequence, Polygon, Point, Line, OrthogonalLine, and Intersect. Suitable for high school mathematics teaching, combining geometric properties with probability and statistics.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[(p, q), p, x(A) + 1, x(A) + l - 1], q, y(A) + 1, y(A) + w - 1) → list1
  2. Polygon(A, B, C, D) → poly1, a, b, c, d
  3. Polygon(E, F, G, H) → poly2, e, f, g, h
  4. Point(list1) → I
  5. Line(I, a) → i
  6. OrthogonalLine(I, a) → j
  7. Intersect(j, a) → J
  8. Intersect(i, b) → K
  9. Intersect(j, c) → L
  10. Intersect(i, d) → M
  11. Polygon(I, J, B, K) → poly3, i_1, j_1, b_1, k
  12. Polygon(I, L, D, M) → poly4, i_2, l_1, d_1, m