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GeoGebra 9.1 Translation

GeoGebra 9.1 Translation
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2020-10-26 03:54
TriangleVectorTransformation
This example demonstrates the concept of translation, involving the symmetry of an equilateral triangle. Using GeoGebra commands such as Polygon, Vector, Translate, and Distance, an equilateral triangle can be constructed and translated. Suitable for middle school and above students to learn geometric transformations and symmetry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Vector(D, E) → u
  3. Angle(B, A, C) → α
  4. Angle(A, B, C) → β
  5. Angle(B, C, A) → γ
  6. Translate(A, u) → A'
  7. Translate(B, u) → B'
  8. Translate(C, u) → C'
  9. Polygon(A', B', C') → t1', c', a', b'
  10. Angle(B', A', C') → δ
  11. Angle(A', B', C') → ε
  12. Angle(B', C', A') → ζ
  13. Distance(B, B') → distanceBB'
  14. Distance(A, A') → distanceAA'
  15. Distance(C, C') → distanceCC'

AI Drawing Prompt Reference

Draw an equilateral triangle and label its three interior angles. Create a vector starting from a point outside the triangle. Translate all three vertices of the triangle by this vector to form a second equilateral triangle. Connect each original vertex to its corresponding translated vertex with line segments, and display the lengths of these three segments. Label the three interior angles of the translated triangle as well. The figure illustrates the translation of an equilateral triangle along a vector, showing the congruence between the original and translated shapes.
The prompt above was compiled from the original drawing commands and is for reference only.