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Divide a line segment into five parts

Divide a line segment into five parts
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2016-10-15 13:20
Coordinate GeometryGeometric Construction
This example demonstrates how to divide a line segment into five equal parts using geometric construction. Key math concepts include line segment division, geometric construction, and equal partitioning. It utilizes commands like Line, Point, Segment, Circle, and Intersect from GeoGebra. Suitable for middle school students and above for learning geometric construction techniques, teaching demonstrations, or mathematical explorations.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Point(f) → C
  3. Segment(A, D) → g
  4. Point(g) → E
  5. Circle(E, Segment[A, E]) → c
  6. Intersect(c, g, 2) → F
  7. Circle(F, Segment[E, F]) → d
  8. Intersect(d, g, 2) → G
  9. Segment(A, C) → h
  10. Circle(C, Segment[D, A]) → e
  11. Circle(A, Segment[D, C]) → k
  12. Intersect(e, k, 1) → H
  13. Segment(H, C) → i
  14. Circle(C, Segment[E, A]) → p
  15. Intersect(p, i, 1) → I
  16. Circle(I, Segment[C, I]) → q
  17. Intersect(q, i, 1) → J
  18. Circle(J, Segment[C, I]) → r
  19. Intersect(r, i, 1) → K
  20. Segment(H, A) → j
  21. Segment(C, D) → l
  22. Segment(K, E) → m
  23. Segment(J, F) → n
  24. Segment(I, G) → s
  25. Segment(A, C) → t
  26. Point(h) → L
  27. Point(h) → M
  28. Point(h) → N
  29. Segment(A, C) → a