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9:8 Ratio Division Demo

9:8 Ratio Division Demo
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2019-03-29 00:28
AngleVectorTrigonometryGeometric Construction
This example demonstrates the geometric construction of dividing a line segment into a 9:8 ratio. It involves core math concepts like vectors, angles, rotation, and geometric construction. Key GeoGebra commands used include Point, Intersect, Segment, Circle, OrthogonalLine, Angle, Rotate to create points, lines, circles, and angle relationships. Suitable for high school mathematics teaching, illustrating vector and geometric transformation applications in ratio division.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → O
  3. Intersect(xAxis, yAxis) → C
  4. Point(xAxis) → B
  5. Segment(O, A) → OA
  6. Segment(O, B) → OB
  7. Circle(C, B) → c
  8. Circle(B, C) → d
  9. Intersect(c, d, 1) → H
  10. Intersect(c, d, 2) → K
  11. Segment(H, K) → h
  12. Point(OA) → D
  13. Circle(D, C) → e
  14. OrthogonalLine(O, xAxis) → i
  15. Intersect(e, i, 2) → E
  16. Segment(C, E) → j
  17. Segment(E, O) → k
  18. Segment(O, C) → l
  19. Segment(E, B) → m
  20. Segment(B, O) → n
  21. Angle(E, O, C) → α
  22. Angle(E, O, A) → β
  23. Angle(C, E, B) → γ
  24. Rotate(E, (-(90°)), O) → E'
  25. Rotate(O, (-(90°)), O) → O'
  26. Segment(E', O') → k'