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Similar Triangles Demo (Grade 9)

Similar Triangles Demo (Grade 9)
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2018-11-17 22:28
TriangleAngleCoordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates the properties and criteria of similar triangles, showcasing the geometric features of corresponding angles equal and corresponding sides proportional through dynamic visualization. Core concepts include similarity criteria, centroid of triangles, coordinate geometry, Pythagorean theorem, and orthocenter. Construction involves commands like Line, Mirror, Point, Segment, Angle, Intersect, Polygon, Rotate, and objects such as f, A_1, B_1, a, Varydistance, b, C', c_3, etc. Ideal for Grade 9 students to learn and understand the geometric properties and applications of similar triangles.

GeoGebra Commands & Parameters

  1. Line(A_1, B_1) → a
  2. Line(Varydistance, a) → b
  3. Mirror(Varydistance, a) → C'
  4. Line(C', a) → c_3
  5. Point(c_3) → D_1
  6. Point(a) → B
  7. Segment(D_1, B) → d
  8. Point(c_3) → C
  9. Point(a) → A
  10. Segment(C, A) → e
  11. Angle(B, D_1, C) → α
  12. Angle(D_1, B, A) → β
  13. Angle(D_1, C, A) → γ
  14. Angle(B, A, C) → δ
  15. Intersect(d, e) → O
  16. Angle(C, O, D_1) → ε
  17. Angle(A, O, B) → ζ
  18. Polygon(D_1, O, C) → poly1, f_1, d_1, c_1
  19. Polygon(O, A, B) → poly2, e_1, c_2, g
  20. Mirror(A, Varydistance) → G'
  21. Mirror(B, Varydistance) → E'
  22. Rotate(D_1, Rotate, O) → D
  23. Rotate(O, Rotate, O) → E
  24. Rotate(C, Rotate, O) → F
  25. Polygon(D, E, F) → poly1', c'_1, d', e_2
  26. Line(A, C) → h
  27. Angle(c_3, h) → η