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Investigation of Similar Polygons' Area and Perimeter

Investigation of Similar Polygons' Area and Perimeter
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2016-12-19 07:35
PolygonTransformationGeometric Construction
This example demonstrates the relationship between the area and perimeter of similar polygons. Key mathematical concepts include similar polygons, area, and perimeter. Using GeoGebra commands such as Polygon, Dilate, and Perimeter, you can dynamically change the size of the polygon and observe changes in its area and perimeter. Suitable for middle school and above students for geometric construction and exploration.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Dilate(A, k, E) → A'
  3. Dilate(B, k, E) → B'
  4. Dilate(C, k, E) → C'
  5. Dilate(D, k, E) → D'
  6. Polygon(A', B', C', D') → poly1', a', b', c', d'
  7. Perimeter(poly1) → perimeterpoly1
  8. PointIn(poly1) → Pointpoly1_1
  9. Perimeter(poly1') → perimeterpoly1'
  10. PointIn(poly1') → Pointpoly1'_1
  11. PointIn(poly1) → Pointpoly1
  12. PointIn(poly1') → Pointpoly1'