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Similar Triangles Exploration by akgule

Similar Triangles Exploration by akgule
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2018-11-27 02:46
TriangleTransformationGeometric Construction
This example demonstrates the construction and properties of similar triangles, involving core concepts like triangle similarity criteria, angle and side length ratios, and geometric transformations. It uses commands such as Segment, Rotate, Angle, Intersect, Dilate, and Polygon in GeoGebra. Suitable for middle school and high school students learning geometric transformations and similarity concepts, as well as high school mathematics instruction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Rotate(B, 32°, A) → B'
  3. Angle(B, A, B') → α
  4. Segment(A, B') → b
  5. Rotate(A, -40°, B) → A'
  6. Angle(A', B, A) → β
  7. Segment(B, A') → c
  8. Intersect(b, c) → C
  9. Segment(A, C) → d
  10. Segment(B, C) → e
  11. Dilate(A, k, Centre) → D
  12. Dilate(B, k, Centre) → F
  13. Dilate(C, k, Centre) → E
  14. Segment(D, E) → f
  15. Segment(D, F) → g
  16. Segment(F, E) → h
  17. Angle(F, D, E) → γ
  18. Angle(E, F, D) → ε
  19. Polygon(D, E, F) → poly1, f_1, d_1, e_1
  20. Polygon(A, C, B) → poly2, b_1, a_1, c_1