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Finsler-Hadwiger Exercise

Finsler-Hadwiger Exercise
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2016-09-15 05:10
TrianglePolygonCoordinate Geometry
In collections Expressing Geometric Properties with Equations (GPE) Cluster Coordinate Geometry Proof Prompts
This example demonstrates the Finsler-Hadwiger Theorem in coordinate geometry. Key concepts include triangles, midpoints, segments, and polygons. It uses GeoGebra commands such as Polygon, Midpoint, and Segment for geometric construction. Suitable for students in middle school and above learning coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  2. Polygon(B, E, 4) → poly2, j, k, l, m, F, G
  3. Midpoint(C, G) → H
  4. Midpoint(A, E) → I
  5. Midpoint(E, G) → J
  6. Midpoint(A, C) → K
  7. Segment(J, H) → n
  8. Segment(H, K) → p
  9. Segment(K, I) → q
  10. Segment(I, J) → r
  11. Segment(E, J) → s
  12. Segment(J, G) → t
  13. Segment(A, K) → a
  14. Segment(K, C) → b
  15. Segment(C, H) → c
  16. Segment(H, G) → d
  17. Segment(A, I) → e
  18. Segment(I, E) → f_1
  19. Polygon(I, J, H, K) → poly3, i_1, j_1, h_1, k_1