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Construction of Similar Triangles

Construction of Similar Triangles
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2019-04-19 00:24
TriangleVectorGeometric Construction
This example demonstrates the construction of similar triangles using basic geometric commands in GeoGebra. Key mathematical concepts include the properties of similar triangles. Commands used include point, polygon, vector, segment, angle, line, and intersection. Suitable for middle and high school students learning about similar triangles.

GeoGebra Commands & Parameters

  1. Point(xAxis) → C
  2. Polygon(B, A, C) → t1, c, b, a
  3. Vector(A, (n, (-n))) → u
  4. Vector(A, (m, (-m))) → v
  5. Segment(F, C) → g
  6. Angle(C, F, A) → α
  7. Line(D, g) → h
  8. Intersect(h, xAxis) → E
  9. Segment(D, E) → i
  10. Line(E, a) → j
  11. Line(A, B) → k
  12. Intersect(k, j) → G
  13. Segment(G, E) → l
  14. Segment(G, A) → p
  15. Angle(E, D, F) → β
  16. Angle(B, C, A) → γ
  17. Angle(G, E, C) → δ
  18. Polygon(G, A, E) → t2, e, g_1, a_1
  19. Point(f) → H
  20. Segment(A, H) → q
  21. Segment(B, C) → r