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Polygon Perimeter Exploration

Polygon Perimeter Exploration
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2020-03-25 16:57
PolygonTransformationGeometric Construction
This example explores the perimeter of polygons. Key mathematical concepts include polygons, similarity transformations, and arithmetic operations. Using GeoGebra commands such as Polygon and objects A, B, C, etc., multiple similar polygons are constructed and their perimeters are observed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  2. Polygon(A_1, B_1, 4) → poly1_1, a_1, b_1, c_1, d_1, C_1, D_1
  3. Polygon(A_2, B_2, 4) → poly1_2, a_2, b_2, c_2, d_2, C_2, D_2
  4. Polygon(A_3, B_3, 4) → poly1_3, a_3, b_3, c_3, d_3, C_3, D_3
  5. Polygon(A_4, B_4, 4) → poly1_4, a_4, b_4, c_4, d_4, C_4, D_4
  6. Polygon(A_5, B_5, 4) → poly1_5, a_5, b_5, c_5, d_5, C_5, D_5
  7. Polygon(A_6, B_6, 4) → poly1_6, a_6, b_6, c_6, d_6, C_6, D_6
  8. Polygon(A_7, B_7, 4) → poly1_7, a_7, b_7, c_7, d_7, C_7, D_7
  9. Polygon(A_8, B_8, 4) → poly1_8, a_8, b_8, c_8, d_8, C_8, D_8
  10. Polygon(A_9, B_9, 4) → poly1_9, a_9, b_9, c_9, d_9, C_9, D_9
  11. Polygon(A_{10}, B_{10}, 4) → poly1_{10}, a_{10}, b_{10}, c_{10}, d_{10}, C_{10}, D_{10}
  12. Polygon(A_{11}, B_{11}, 4) → poly1_{11}, a_{11}, b_{11}, c_{11}, d_{11}, C_{11}, D_{11}
  13. Polygon(A_{12}, B_{12}, 4) → poly1_{12}, a_{12}, b_{12}, c_{12}, d_{12}, C_{12}, D_{12}
  14. Polygon(A_{13}, B_{13}, 4) → poly1_{13}, a_{13}, b_{13}, c_{13}, d_{13}, C_{13}, D_{13}
  15. Polygon(A_{14}, B_{14}, 4) → poly1_{14}, a_{14}, b_{14}, c_{14}, d_{14}, C_{14}, D_{14}
  16. Polygon(A_{15}, B_{15}, 4) → poly1_{15}, a_{15}, b_{15}, c_{15}, d_{15}, C_{15}, D_{15}
  17. Polygon(A_{16}, B_{16}, 4) → poly1_{16}, a_{16}, b_{16}, c_{16}, d_{16}, C_{16}, D_{16}
  18. Polygon(A_{17}, B_{17}, 4) → poly1_{17}, a_{17}, b_{17}, c_{17}, d_{17}, C_{17}, D_{17}
  19. Polygon(A_{18}, B_{18}, 4) → poly1_{18}, a_{18}, b_{18}, c_{18}, d_{18}, C_{18}, D_{18}
  20. Polygon(A_{19}, B_{19}, 4) → poly1_{19}, a_{19}, b_{19}, c_{19}, d_{19}, C_{19}, D_{19}
  21. Polygon(A_{20}, B_{20}, 4) → poly1_{20}, a_{20}, b_{20}, c_{20}, d_{20}, C_{20}, D_{20}
  22. Polygon(A_{21}, B_{21}, 4) → poly1_{21}, a_{21}, b_{21}, c_{21}, d_{21}, C_{21}, D_{21}
  23. Polygon(A_{22}, B_{22}, 4) → poly1_{22}, a_{22}, b_{22}, c_{22}, d_{22}, C_{22}, D_{22}
  24. Polygon(A_{23}, B_{23}, 4) → poly1_{23}, a_{23}, b_{23}, c_{23}, d_{23}, C_{23}, D_{23}
  25. Polygon(E, F, G, H) → q1, e, f, g, h