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Angle Between Lines

Angle Between Lines
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2017-02-14 12:57
AngleVectorCoordinate GeometryGeometric Construction
In collections Vector Applications
This example demonstrates how to calculate the angle between two lines using GeoGebra. It involves core concepts like vectors, points, lines, and angle measurement. Key GeoGebra commands used include Circle, Point, Vector, Intersect, Translate, Line, If, and Angle to construct geometric objects and compute the angle. Suitable for high school mathematics teaching, helping students understand vector-angle relationships and applications in analytical geometry.

GeoGebra Commands & Parameters

  1. Circle(A, 2) → c
  2. Point(c) → B
  3. Point(c) → C
  4. Vector(A, B) → b_2
  5. Vector(A, C) → b_1
  6. Intersect(xAxis, yAxis) → D
  7. Vector(D, E) → a_2
  8. Vector(D, F) → a_1
  9. Translate(E, b_2) → E'
  10. Vector(E, E') → b
  11. Line(E', E) → d
  12. Translate(F, b_1) → F'
  13. Vector(F, F') → e
  14. Line(F, F') → f
  15. If(x(A) ≠ x(B), (1000, d(1000)), (x(E), -1000)) → EndD
  16. If(x(A) ≠ x(C), (1000, f(1000)), (x(F), -1000)) → EndF
  17. Intersect(f, d) → Int
  18. If(x(A) ≠ x(B), (-1000, d(-1000)), (x(E), 1000)) → EndD'
  19. Angle(EndD, Int, EndF) → α
  20. Angle(EndD', Int, EndF) → β
  21. Angle(C, A, B) → γ