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Polygon Perimeter Calculation

Polygon Perimeter Calculation
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2018-04-26 10:06
PolygonVectorCoordinate Geometry
This example demonstrates how to construct a polygon and calculate its perimeter using GeoGebra. Key math concepts include perimeter, vectors, and coordinate geometry. Construction involves commands like Point, Polygon, Vector, Segment. Suitable for middle school and above students to learn polygon properties.

GeoGebra Commands & Parameters

  1. Point(Ray[A + (0, 1), A + (0, 2)]) → D
  2. Polygon(D, A, B, C) → q1, a, b, c, d
  3. Point(Ray[E + (0, 1), E + (0, 2)]) → H
  4. Polygon(H, E, F, G) → q2, e, f, g, h
  5. Vector(I, J) → i
  6. Vector(J, I) → u
  7. Vector(K, L) → v
  8. Vector(L, K) → w
  9. Segment(I + (0, 0.5), I - (0, 0.5)) → j
  10. Segment(J + (0, 0.5), J - (0, 0.5)) → k
  11. Segment(K + (0, 0.5), K - (0, 0.5)) → l
  12. Segment(L + (0, 0.5), L - (0, 0.5)) → m
  13. Vector(M, N) → n
  14. Vector(N, M) → p
  15. Segment(M + (0.5, 0), M - (0.5, 0)) → q
  16. Segment(N + (0.5, 0), N - (0.5, 0)) → r
  17. Vector(O, P) → s
  18. Vector(P, O) → t
  19. Segment(P + (0.5, 0), P - (0.5, 0)) → f_1
  20. Segment(O + (0.5, 0), O - (0.5, 0)) → g_1
  21. Vector(Q, R) → u_1
  22. Vector(R, Q) → v_1
  23. Segment(Q + (0.5, 0), Q - (0.5, 0)) → h_1
  24. Segment(R + (0.5, 0), R - (0.5, 0)) → i_1
  25. Vector(S, T) → w_1
  26. Vector(T, S) → a_1
  27. Segment(S + (0, 0.5), S - (0, 0.5)) → j_1
  28. Segment(T + (0, 0.5), T - (0, 0.5)) → k_1
  29. Segment(S, T) → l_1
  30. Segment(Q, R) → m_1
  31. Segment(I, J) → n_1
  32. Segment(M, N) → p_1

AI Drawing Prompt Reference

Draw a polygon and calculate its perimeter. Start by creating two rays extending upwards from points, then place points on these rays. Construct two polygons using these points. Next, create several vectors to indicate directions and draw corresponding line segments. Finally, combine these segments to form the boundary of the polygon, labeling the perimeter.
The prompt above was compiled from the original drawing commands and is for reference only.