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Ratio Demonstration

Ratio Demonstration
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2015-12-02 16:15
VectorCalculusGeometric Construction
This example illustrates a 1:9 ratio between two equations through visual geometric representations. It involves core mathematical concepts like proportionality, geometric construction, and vector operations. Constructed using commands such as Vector, Segment, Point, Polygon, and Rotate in GeoGebra, it is suitable for high school mathematics education to understand geometric transformations and proportional relationships.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(C, D) → v
  3. Segment(Z, A) → g
  4. Segment(B, C) → h
  5. Segment(D, R) → i
  6. Point(i) → E
  7. Point(u) → F
  8. Point(v) → G
  9. Point(h) → H
  10. Polygon(E, G, H, F) → poly1, e, g_1, h_1, f_1
  11. Point(i) → I
  12. Polygon(Z, A, E, R) → poly2, z_1, a_1, e_1, r_1
  13. Point(Circle[R, 10]) → J
  14. Rotate(Z, 180°, A) → Z'
  15. Rotate(A, 180°, A) → A'
  16. Segment(Z', A') → g'
  17. Polygon(A, Z', C, B) → poly3, a_2, z', c_1, b_1