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Similar Figures and Scale Factor

Similar Figures and Scale Factor
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2019-08-27 08:14
TransformationGeometric Construction
This example demonstrates the concept of similar figures and scale factors. By constructing similar figures, students can understand the properties of similar figures and the role of scale factors. Commands used include Polygon, Ray, Point, Vector, Translate, and Angle. Suitable for middle and high school geometry education.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E) → poly1, a, b, c, d, e
  2. Ray(F, A) → f
  3. Ray(F, E) → g
  4. Ray(F, D) → h
  5. Ray(F, B) → i
  6. Ray(F, C) → j
  7. Point(F, Vector[(Vector[F, E] * k)]) → I
  8. Point(F, Vector[(Vector[F, A] * k)]) → H
  9. Point(F, Vector[(Vector[F, D] * k)]) → G
  10. Point(F, Vector[(Vector[F, C] * k)]) → J
  11. Point(F, Vector[(Vector[F, B] * k)]) → K
  12. Polygon(G, I, H, K, J) → poly2, g_1, i_1, h_1, k_1, j_1
  13. Vector(K, L) → u
  14. Translate(G, u) → G'
  15. Translate(I, u) → I'
  16. Translate(H, u) → H'
  17. Translate(K, u) → K'
  18. Translate(J, u) → J'
  19. Polygon(G', I', H', K', J') → poly2', g', i', h', k', j'
  20. Angle(poly2') → α, β, γ, δ, ε
  21. Angle(poly1) → ζ, η, θ, ι, κ