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Angle Bisectors in Similar Triangles

Angle Bisectors in Similar Triangles
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2019-03-01 23:07
TriangleAngleGeometric Construction
This example demonstrates the properties of angle bisectors in similar triangles. Key mathematical concepts include similar triangles, angle bisectors, and geometric construction. Using GeoGebra commands such as Polygon, Dilate, and AngularBisector, the construction of similar triangles and their angle bisectors is illustrated. Suitable for students in middle school and above to learn about similar triangles.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Dilate(A, 2.5, D) → X
  3. Dilate(B, 2.5, D) → Y
  4. Dilate(C, 2.5, D) → Z
  5. Polygon(X, Y, Z) → t1', c', a', b'
  6. AngularBisector(B, A, C) → f
  7. AngularBisector(Y, X, Z) → g
  8. Intersect(f, a) → E
  9. Intersect(g, a') → F
  10. Segment(A, E) → h
  11. Segment(X, F) → i
  12. Angle(B, A, E) → α
  13. Angle(C, A, E) → β
  14. Angle(Y, X, F) → γ
  15. Angle(Z, X, F) → δ