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Similar Triangles by ritukwilson

Similar Triangles by ritukwilson
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2015-02-28 01:06
TriangleAngleGeometric Construction
In collections Trigonometry ML
This example demonstrates the determination and properties of similar triangles. It involves core mathematical concepts such as triangle similarity theorems, relationships between angles and sides, and geometric transformations. Construction highlights include using commands like Polygon, AngularBisector, Intersect, Angle, Circle, Segment, Point, Rotate, OrthogonalLine, Midpoint, Line, and Textfield in GeoGebra to build and visualize the figures. Suitable for high school mathematics education to understand the geometric properties and applications of similar triangles.

GeoGebra Commands & Parameters

  1. Polygon(A, B, D) → poly1, c, a, b
  2. AngularBisector(c, b) → f, g
  3. AngularBisector(c, a) → d, e
  4. Intersect(e, g) → E
  5. Angle(A, B, D) → α
  6. Angle(B, A, D) → β
  7. Angle(B, D, A) → γ
  8. Circle(A', Segment[A', B']) → h
  9. Circle(D', Segment[D', B']) → k
  10. Intersect(h, k, 2) → F
  11. Polygon(B', A', F, D') → poly2, b', a', f_1, d'
  12. Segment(A', D') → i
  13. Circle(A', 3) → p
  14. Point(p) → G
  15. Segment(G, A') → j
  16. Angle(D', A', G) → Θ
  17. Rotate(B', Θ - 180°, A') → B''
  18. Rotate(A', Θ - 180°, A') → A''
  19. Rotate(F, Θ - 180°, A') → F'
  20. Rotate(D', Θ - 180°, A') → D''
  21. Polygon(B'', A'', F', D'') → poly2', b'', a'', f', d''
  22. Polygon(B'', A', D'') → poly3, d''_1, b''_1, a'_1
  23. Polygon(A', F', D'') → poly4, d''_2, a'_2, f'_1
  24. OrthogonalLine(A', b''_1) → l
  25. Point(l) → H
  26. Segment(H, A') → m
  27. Angle(D'', A', B'') → δ
  28. Angle(A', B'', D'') → ε
  29. Angle(B'', D'', A') → ζ
  30. Midpoint(d''_1) → I
  31. Midpoint(a'_1) → J
  32. Midpoint(b''_1) → K
  33. Midpoint(d''_2) → L
  34. Midpoint(a'_2) → M
  35. Angle(A', D'', F') → θ
  36. Line(A', xAxis) → b_1
  37. Intersect(p, b_1, 1) → O
  38. Angle(F', A', D'') → ι
  39. Angle(D'', F', A') → κ
  40. Textfield(scale) → inputBox1
  41. Textfield(scale) → inputBox1_1
  42. Textfield(scale) → inputBox1_2