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Slide 2: Quadrilateral Similarity Transformation

Slide 2: Quadrilateral Similarity Transformation
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2017-02-08 09:34
PolygonTransformationGeometric Construction
This example demonstrates the similarity transformation of a quadrilateral. Key mathematical concepts include similarity transformation, distance, and midpoint. Using GeoGebra commands such as Polygon, Dilate, Distance, and Midpoint, a quadrilateral and its similarity transformation are constructed. Suitable for middle or high school geometry education.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Dilate(A, ScaleFactor, E) → A'
  3. Dilate(B, ScaleFactor, E) → B'
  4. Dilate(C, ScaleFactor, E) → C'
  5. Dilate(D, ScaleFactor, E) → D'
  6. Polygon(A', B', C', D') → poly1', a', b', c', d'
  7. Distance(A, B) → distanceAB
  8. Midpoint(A, B) →
  9. Distance(B, C) → distanceBC
  10. Midpoint(B, C) →
  11. Distance(C, D) → distanceCD
  12. Midpoint(C, D) →
  13. Distance(D, A) → distanceDA
  14. Midpoint(D, A) →
  15. Distance(B', C') → distanceB'C'
  16. Midpoint(B', C') →
  17. Distance(C', D') → distanceC'D'
  18. Midpoint(C', D') →
  19. Distance(D', A') → distanceD'A'
  20. Midpoint(D', A') →
  21. Distance(A', B') → distanceA'B'
  22. Midpoint(A', B') →
  23. Line(E, C) → f
  24. Line(E, D) → g
  25. Line(E, A) → h
  26. Line(E, B) → i