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Similar Polygons and Scale Factor

Similar Polygons and Scale Factor
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2015-01-26 22:30
PolygonTransformationGeometric Construction
This dynamic sketch helps students explore the concept of similar polygons and scale factor. By adjusting the slider, students can observe how the size of the polygon changes while maintaining its shape. Key mathematical concepts include the properties of similar polygons and scale factor. The construction uses GeoGebra commands such as Line, Polygon, Point, Segment, Dilate, and Angle.

GeoGebra Commands & Parameters

  1. Line(J, K) → h
  2. Line(L, h) → i
  3. Polygon(A, B, C, D) → poly1, a, b, c, d
  4. Point(h) → G
  5. Point(h) → F
  6. Segment(F, G) → e
  7. Point(i) → I
  8. Point(i) → H
  9. Segment(H, I) → f
  10. Dilate(A, g, E) → A'
  11. Dilate(B, g, E) → B'
  12. Dilate(C, g, E) → C'
  13. Dilate(D, g, E) → D'
  14. Polygon(A', B', C', D') → poly1', a', b', c', d'
  15. Angle(A, B, C) → α
  16. Angle(D, A, B) → β
  17. Angle(C, D, A) → γ
  18. Angle(B, C, D) → δ
  19. Angle(A', B', C') → ε
  20. Angle(D', A', B') → ζ
  21. Angle(C', D', A') → η
  22. Angle(B', C', D') → θ