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Corollary of Proportionality Theorem

Corollary of Proportionality Theorem
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2014-02-19 03:53
InequalityGeometric Construction
This example helps prove the corollary of the proportionality theorem interactively. It involves ratios in geometry and uses GeoGebra commands such as Intersect, Point, Polygon, etc., to demonstrate how to verify mathematical concepts through geometric construction. Suitable for middle school and above students learning about ratios and geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, C) → Polygon1, c_1, a_1, b_1
  4. Point(b_1) → D
  5. Line(D, c_1) → d_1
  6. Intersect(d_1, a_1) → E
  7. Segment(D, E) → e
  8. OrthogonalLine(E, b_1) → g
  9. Intersect(g, b_1) → F
  10. Angle(E, F, C) → α
  11. Segment(B, E) → d
  12. Segment(D, C) → a
  13. Segment(A, D) → b
  14. Segment(C, E) → c
  15. Line(E, b_1) → j
  16. Intersect(j, c_1) → G
  17. Segment(E, G) → k