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Perimeters of Inside Shapes Demo

Perimeters of Inside Shapes Demo
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2019-04-07 19:42
PolygonCoordinate GeometryTransformationGeometric Construction
This example demonstrates the construction and transformation of inner shapes to illustrate how their perimeters change. Key math concepts include polygon perimeters, geometric transformations (rotation), similar triangles, and coordinate geometry. The construction uses GeoGebra commands like Polygon, LineBisector, Intersect, Circle, Angle, PointIn, CircleArc, and Length, along with objects such as A, B, poly1, etc. It is suitable for high school students learning geometric transformations, similar triangles, and coordinate geometry, serving as a teaching tool and for exploratory learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 8) → poly1, f, D, E, F, G, H, g, h, i, j, k, l, m, C
  2. LineBisector(G, F) → n
  3. LineBisector(F, E) → p
  4. LineBisector(E, D) → q
  5. LineBisector(D, C) → r
  6. Intersect(n, k) → I
  7. Intersect(p, j) → J
  8. Intersect(q, i) → K
  9. Intersect(r, h) → L
  10. Intersect(n, g) → M
  11. Intersect(p, f) → N
  12. Intersect(q, m) → O
  13. Intersect(r, l) → P
  14. Circle(F, I) → c
  15. Circle(G, I) → d
  16. Circle(H, P) → e
  17. Circle(A, O) → s
  18. Circle(B, M) → t
  19. Circle(C, L) → c_1
  20. Circle(D, L) → d_1
  21. Circle(E, K) → e_1
  22. Angle(G, F, E) → α
  23. PointIn(poly1) → Pointpoly1
  24. Intersect(n, p) → Q
  25. CircleArc(F, I, J) → f_1
  26. PointIn(f_1) → Pointf1_1
  27. Length(f_1) → b
  28. PointIn(f_1) → Pointf1_2
  29. PointIn(f_1) → Pointf1