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Similar Triangles - Translation, Multiplication, and Rotation

Similar Triangles - Translation, Multiplication, and Rotation
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2019-11-23 12:11
TriangleTransformationGeometric Construction
This example demonstrates the translation, multiplication (dilation), and rotation transformations of similar triangles. Key math concepts include similarity transformation, translation, dilation, and rotation. Construction highlights the use of GeoGebra commands and objects like Polygon, Vector, Dilate, Translate, Rotate. Suitable for middle school and above students to learn and understand the properties and applications of geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, E, B) → t1, b, a, e
  2. Vector((U1, U2)) → u
  3. Dilate(A, F, A) → A'_2
  4. Dilate(E, F, A) → E'_2
  5. Dilate(B, F, A) → B'_2
  6. Polygon(A'_2, E'_2, B'_2) → t1'_2, b'_2, a'_2, e'_2
  7. Translate(A'_2, u) → N
  8. Translate(E'_2, u) → O
  9. Translate(B'_2, u) → P
  10. Polygon(N, O, P) → t4, p, n, o
  11. Rotate(N, ω°, A) → N'
  12. Rotate(O, ω°, A) → O'
  13. Rotate(P, ω°, A) → P'
  14. Polygon(N', O', P') → t4', p', n', o'
  15. Translate(A, u) → A'_3
  16. Translate(E, u) → E'_3
  17. Translate(B, u) → B'_3
  18. Polygon(A'_3, E'_3, B'_3) → t1'_3, b'_3, a'_3, e'_3