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Angle Rotations in Standard Position

Angle Rotations in Standard Position
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2018-03-02 06:00
AngleVectorCoordinate Geometry
This example demonstrates positive and negative angles in standard position through a dynamic and modifiable illustration. It uses commands like CurveCartesian, Segment, Circle, Intersect, CircleArc, Angle, Ray, Vector, Mirror to help understand angle rotation concepts. Suitable for students at middle school level and above.

GeoGebra Commands & Parameters

  1. CurveCartesian(((a * t) * cos(t)), ((a * t) * sin(t)), t, 0, (6 * π)) → c
  2. CurveCartesian(x(A), y(A), w, 0, (6 * π)) → b
  3. Segment(B, A) → g
  4. Circle(B, g) → d
  5. Intersect(d, y = 0) → C, D
  6. CircleArc(B, D, A) → e
  7. Angle(D, B, A) → α
  8. CurveCartesian(((a * t) * cos(t)), ((a * t) * sin(t)), t, 0, w) → h
  9. Circle(B, (1.25 * g)) → k
  10. Ray(B, A) → l
  11. Intersect(k, l, 1) → E
  12. Vector(B, E) → u
  13. Intersect(k, y = 0) → F, G
  14. Vector(B, G) → v_1
  15. Mirror(h, y = 0) → h'
  16. Mirror(E, y = 0) → E'
  17. Vector(B, E') → v
  18. Vector(B, H) → q