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Similarity Exercise 1

Similarity Exercise 1
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2016-03-24 14:07
PolygonTransformationGeometric Construction
In collections Dilation and Similarity Project: Part One Obstar Dilation and Similarity Exploration
This example demonstrates the properties of similar figures. Key mathematical concepts include similarity ratio and similarity transformation. Using GeoGebra commands such as Polygon, Rotate, Point, Vector, Angle, and Line, similar figures can be constructed. Suitable for middle or high school students learning similarity.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Polygon(E, F, G, H) → poly2, e, f, g, h
  3. Rotate(E, -45°, I) → E'
  4. Rotate(F, -45°, I) → F'
  5. Rotate(G, -45°, I) → G'
  6. Rotate(H, -45°, I) → H'
  7. Polygon(E', F', G', H') → poly2', e', f', g', h'
  8. Point(e') → K
  9. Vector(J, K) → u
  10. Vector(L, M) → v
  11. Angle(A, B, C) → α
  12. Angle(B, C, D) → β
  13. Angle(C, D, A) → γ
  14. Angle(D, A, B) → δ
  15. Angle(G', H', E') → ε
  16. Angle(H', E', F') → ζ
  17. Angle(E', F', G') → η
  18. Angle(F', G', H') → θ
  19. Line(H', B) → l
  20. Line(G', A) → m
  21. Line(F', D) → n
  22. Line(E', C) → p