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Concurrent Lines Construction

Concurrent Lines Construction
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2017-12-08 04:18
TriangleAngleCoordinate GeometryGeometric Construction
This example demonstrates the construction and properties of concurrent lines or segments, focusing on intersection points. Key math concepts include segments, angle bisectors, midpoints, intersections, and perpendicular lines. It is constructed using GeoGebra commands like Polygon, LineBisector, Intersect, AngularBisector, Midpoint, Segment, Line, and OrthogonalLine. Suitable for high school geometry construction lessons and learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C_1) → t1, c, a, b
  2. LineBisector(C_1, B) → f
  3. LineBisector(B, A) → g
  4. Intersect(f, g) → U
  5. AngularBisector(C_1, A, B) → h
  6. AngularBisector(C_1, B, A) → i
  7. Intersect(i, h) → I
  8. Midpoint(C_1, B) → D
  9. Midpoint(B, A) → E
  10. Segment(C_1, E) → j
  11. Segment(D, A) → k
  12. Intersect(k, j) → C
  13. Line(C_1, B) → l
  14. Line(B, A) → m
  15. OrthogonalLine(A, l) → n
  16. OrthogonalLine(C_1, m) → p
  17. Intersect(p, n) → O