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Translation Example 2

Translation Example 2
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2016-05-11 01:57
VectorTransformationGeometric Construction
This example demonstrates translation transformation in geometry. Key concepts include vectors and translation. Using commands like Intersect, Vector, Translate, and Polygon, the translated shapes are constructed. Suitable for middle school and above students to learn geometric transformations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → S
  2. Vector(S, U) → u
  3. Vector(S, T) → u_1
  4. Translate(A, u_1) → A'
  5. Translate(B, u_1) → B'
  6. Vector(S, V) → v_1
  7. Translate(A, u) → A''
  8. Translate(B, u) → B''
  9. Translate(A, v_1) → A'''
  10. Translate(B, v_1) → B'''
  11. Polygon(A, B, 5) → poly1, f, g, i, j, k, C, D, E
  12. Polygon(A', B', 5) → poly2, l, m, n, p, q, C', D', E'
  13. Polygon(A'', B'', 5) → poly3, r, s, t, a, b, C'', D'', E''
  14. Polygon(A''', B''', 5) → poly4, c, d, e, f_1, g_1, C''', D''', E'''
  15. Vector(A, A''') → w_1
  16. Vector(A, A') → a_1
  17. Vector(A, A'') → b_1

AI Drawing Prompt Reference

Draw a pentagon ABCDE, then translate it three times using different vectors. First, translate using vector u_1 to get A'B'C'D'E', then using vector u to get A''B''C''D''E'', and finally using vector v_1 to get A'''B'''C'''D'''E'''. Lastly, draw all the pentagons and their translation vectors.
The prompt above was compiled from the original drawing commands and is for reference only.