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Ratio of Areas of 5-gons

Ratio of Areas of 5-gons
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2019-04-01 12:51
PolygonTransformationGeometric Construction
This example demonstrates how to construct and compare the area ratios of two pentagons using GeoGebra. Key math concepts include polygon area calculation, geometric transformations, proportionality, and analytical geometry. Construction highlights involve commands like Polygon, LineBisector, Intersect, Circle, Segment, and Point. Suitable for high school students and teachers studying geometric transformations, area calculations, and ratio relationships.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 5) → poly1, f, g, h, i, j, C, D, E
  2. LineBisector(E, D) → k
  3. LineBisector(D, C) → l
  4. Intersect(k, l) → F
  5. Intersect(k, i) → G
  6. Intersect(l, h) → H
  7. LineBisector(E, A) → m
  8. Intersect(m, j) → I
  9. LineBisector(A, B) → n
  10. Intersect(n, f) → J
  11. LineBisector(B, C) → p
  12. Intersect(p, g) → K
  13. Circle(F, H) → c
  14. Polygon(K, H, 5) → poly2, q, r, s, t, a, L, M, N
  15. Segment(G, H) → b
  16. Point(r) → P
  17. Segment(F, P) → f_1
  18. Segment(E, A) → g_1
  19. Segment(F, I) → h_1