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Intersection of Segments from 3 Points to 3 Points

Intersection of Segments from 3 Points to 3 Points
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2015-11-21 00:29
TriangleCoordinate GeometryGeometric Construction
This example demonstrates constructing segments from three points and finding their intersection points. Key mathematical concepts include segments, intersection, and straight lines. It uses GeoGebra commands such as Segment, Point, Intersect, and Line. Suitable for middle school and above students to learn geometric construction and the concept of line intersections.

GeoGebra Commands & Parameters

  1. Segment(A_1, B_1) → a
  2. Segment(C_1, D) → b
  3. Point(a) → A
  4. Point(a) → B
  5. Point(a) → C
  6. Point(b) → X
  7. Point(b) → Y
  8. Point(b) → Z
  9. Segment(A, Z) → c
  10. Segment(B, X) → d
  11. Segment(C, Y) → e
  12. Segment(C, X) → f
  13. Segment(A, Y) → g
  14. Segment(B, Z) → h
  15. Intersect(g, d) → M
  16. Intersect(f, c) → O
  17. Intersect(h, e) → N
  18. Line(N, M) → i