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Rectangle Perimeter Demo

Rectangle Perimeter Demo
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2017-10-19 21:29
PolygonGeometric Construction
This example demonstrates the dynamic relationship between a rectangle's perimeter and its side lengths. It involves core mathematical concepts like perimeter calculation, geometric transformations, and polygon construction. Key GeoGebra commands and objects used include Polygon, Rotate, and Segment. Suitable for middle school and above students to understand geometric transformations and perimeter calculations, as well as for parametric geometry teaching.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → Vieleck1, a, b, c, d
  2. Polygon(E, F, G, H) → Vieleck2, e, f, g, h
  3. Polygon(I, J, K, L) → Vieleck3, i, j, k, l
  4. Polygon(M, N, O, P) → Vieleck4, m, n, o, p
  5. Rotate(A, (-α), B) → A'
  6. Rotate(B, (-α), B) → B'
  7. Rotate(C, (-α), B) → C'
  8. Rotate(D, (-α), B) → D'
  9. Polygon(A', B', C', D') → Vieleck1', a', b', c', d'
  10. Rotate(E, (-β), F) → E'
  11. Rotate(F, (-β), F) → F'
  12. Rotate(G, (-β), F) → G'
  13. Rotate(H, (-β), F) → H'
  14. Polygon(E', F', G', H') → Vieleck2', e', f', g', h'
  15. Rotate(I, (-γ), J) → I'
  16. Rotate(J, (-γ), J) → J'
  17. Rotate(K, (-γ), J) → K'
  18. Rotate(L, (-γ), J) → L'
  19. Polygon(I', J', K', L') → Vieleck3', i', j', k', l'
  20. Rotate(M, (-δ), N) → M'
  21. Rotate(N, (-δ), N) → N'
  22. Rotate(O, (-δ), N) → O'
  23. Rotate(P, (-δ), N) → P'
  24. Polygon(M', N', O', P') → Vieleck4', m', n', o', p'
  25. Segment(Q, R) → q
  26. Segment(R, S) → r
  27. Segment(S, T) → s
  28. Segment(T, U) → t