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Triangle Transformations Demo

Triangle Transformations Demo
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2014-10-28 06:43
TriangleVectorCoordinate GeometryTransformation
In collections Triangle Transformations Activity
This example demonstrates geometric transformations of triangles, including rotation and translation. Core math concepts involve vectors, coordinate geometry, and transformations. GeoGebra commands used in construction are Intersect, Vector, Segment, Rotate, Translate, and Polygon. Suitable for high school mathematics teacher demonstration and student practice.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → C_1
  2. Vector(C_1, C_2) → u
  3. Segment(D, B) → a
  4. Rotate(D, 180*°, C_1) → F
  5. Rotate(B, 180*°, C_1) → C
  6. Segment(F, C) → a'
  7. Translate(F, u) → A
  8. Translate(C, u) → E
  9. Segment(A, E) → a''
  10. Polygon(G, D, B) → poly1, b, g, d
  11. Rotate(G, 180*°, C_1) → K
  12. Rotate(D, 180*°, C_1) → D'
  13. Rotate(B, 180*°, C_1) → B'
  14. Polygon(K, D', B') → poly1', b', g', d'
  15. Translate(K, u) → H
  16. Translate(D', u) → D''
  17. Translate(B', u) → B''
  18. Polygon(H, D'', B'') → poly1'', b'', g'', d''