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Perimeter vs. Area Comparison

Perimeter vs. Area Comparison
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2016-01-26 04:38
PolygonCoordinate Geometry
In collections RectTri Area vs. Perimeter Drafts
This example dynamically demonstrates the relationship between perimeter and area of polygons through interactive manipulation. Key math concepts include perimeter, area, polygons, dilation, and matrix operations. GeoGebra commands like Line, OrthogonalLine, Intersect, Polygon, and Circle are used to construct and animate shapes, allowing users to explore how changes in dimensions affect these measurements. Ideal for high school geometry instruction to illustrate the impact of transformations on geometric properties.

GeoGebra Commands & Parameters

  1. Line(A, B) → l
  2. Line(R, xAxis) → a
  3. Line(DragRectangle, xAxis) → b
  4. OrthogonalLine(DragRectangle, b) → c
  5. OrthogonalLine(R, b) → d
  6. Intersect(b, d) → R_3
  7. Intersect(a, c) → R_4
  8. Polygon(R, R_4, DragRectangle, R_3) → poly1, a_1, d_1, b_1, c_1
  9. Point(l) → DragTriangle
  10. Point(l) → E
  11. Polygon(DragTriangle, E, 3) → poly2, e, f, g, G
  12. Polygon(H, T_2, T_1) → poly3, j, h, i
  13. Point(l) → DragSquare
  14. Point(l) → D
  15. Polygon(DragSquare, D, 4) → Square, m, n, p, q, F, I
  16. Point(l) → DragPentagon
  17. Point(l) → K
  18. Polygon(DragPentagon, K, 5) → Pentagon, r, s, t, e_1, f_1, L, M, N
  19. Point(l) → DragHexagon
  20. Point(l) → P
  21. Polygon(DragHexagon, P, 6) → Hexagon, g_1, U, h_1, i_1, j_1, k_1, l_1, Q, S, T
  22. Point(l) → W
  23. OrthogonalLine(W, l) → m_1
  24. Point(m_1) → DragCircle
  25. Circle(DragCircle, W) → p_1