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Similar Triangles with Scale Factor Slider

Similar Triangles with Scale Factor Slider
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2016-10-03 22:25
TriangleGeometric ConstructionSlider Animation
This example demonstrates the concept of similar triangles by adjusting the scale factor using a slider. Key mathematical concepts include the properties of similar triangles and scale factors. It uses commands such as Polygon, Angle, Distance, Point, Segment, Rotate, Ray, Intersect, Line, and Midpoint in GeoGebra. Suitable for middle school and above students to learn about similar triangles.

GeoGebra Commands & Parameters

  1. Polygon(A, C, B) → poly1, b_1, a_1, c_1
  2. Angle(B, A, C) → α
  3. Angle(C, B, A) → β
  4. Angle(A, C, B) → γ
  5. Distance(A, B) → distanceAB
  6. Point(Circle[D, abs((f * distanceAB))]) → E
  7. Segment(D, E) → e
  8. Rotate(E, α, D) → E'
  9. Angle(E, D, E') → δ
  10. Ray(D, E') → g
  11. Rotate(D, (-β), E) → D'
  12. Angle(D', E, D) → ε
  13. Ray(E, D') → h
  14. Intersect(g, h) → F
  15. Segment(D, F) → i
  16. Segment(F, E) → j
  17. Line(G, H) → k
  18. Polygon(D, E, F) → poly2, f_1, d_1, e_3
  19. Distance(E, D) → distanceED
  20. Midpoint(E, D) →