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Similar Triangle Ratios by Dave Johnston

Similar Triangle Ratios by Dave Johnston
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2016-08-25 00:38
TriangleGeometric Construction
This example demonstrates the construction and ratio relationships of similar triangles. Key math concepts include similarity criteria, proportional segments, and angle equality. It uses commands like Polygon, Dilate, Angle, and Distance. Suitable for high school mathematics teaching to understand properties and applications of similar triangles.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Dilate(A, 2, P) → A'
  3. Dilate(B, 2, P) → B'
  4. Dilate(C, 2, P) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Dilate(A', 0.3333333333333333, D) → A''
  7. Dilate(B', 0.3333333333333333, D) → B''
  8. Dilate(C', 0.3333333333333333, D) → C''
  9. Polygon(A'', B'', C'') → poly1'', c'', a'', b''
  10. Angle(A, B, C) → α
  11. Angle(B, C, A) → β
  12. Angle(C, A, B) → γ
  13. Angle(A', B', C') → δ
  14. Angle(B', C', A') → ε
  15. Angle(C', A', B') → ζ
  16. Angle(A'', B'', C'') → η
  17. Angle(B'', C'', A'') → θ
  18. Angle(C'', A'', B'') → ι
  19. Distance(A, B) → distanceAB
  20. Distance(B, C) → distanceBC
  21. Distance(C, A) → distanceCA
  22. Distance(A', B') → distanceA'B'
  23. Distance(B', C') → distanceB'C'
  24. Distance(C', A') → distanceC'A'
  25. Distance(A'', B'') → distanceA''B''
  26. Distance(B'', C'') → distanceB''C''
  27. Distance(C'', A'') → distanceC''A''