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Angle Bisector Theorem Demonstration by John Sweeney

Angle Bisector Theorem Demonstration by John Sweeney
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2015-11-26 00:09
TriangleAngleGeometric Construction
This example illustrates the property that an angle bisector is equidistant from the legs of the angle. It involves core mathematical concepts such as angle bisector, distance, and geometric construction. The construction uses GeoGebra commands/objects like Segment, Angle, AngularBisector, Point, Distance, OrthogonalLine, and Intersect. Suitable for high school students learning geometry or for educational demonstrations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(B, C) → b
  3. Angle(A, B, C) → β
  4. AngularBisector(A, B, C) → c
  5. Point(c) → D
  6. Point(a) → E
  7. Point(b) → F
  8. Distance(E, D) → distanceED
  9. OrthogonalLine(D, a) → d
  10. Intersect(a, d) → G
  11. Intersect(d, a) → H
  12. Intersect(c, d) → I
  13. Segment(D, G) → e
  14. Angle(E, G, D) → α
  15. OrthogonalLine(D, b) → f
  16. Intersect(b, f) → J
  17. Segment(D, J) → g
  18. Angle(D, J, B) → γ
  19. Angle(c, b) → δ
  20. Distance(e, g) → h
  21. Angle(D, B, J) → ε
  22. Angle(G, B, D) → ζ
  23. Point(a) → K
  24. Point(b) → L
  25. Segment(K, M) → i
  26. Segment(M, L) → j
  27. Distance(i, j) → k