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Translation Exploration by Maria Ahrens (3)

Translation Exploration by Maria Ahrens (3)
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2016-03-08 14:51
PolygonVectorTransformation
This example demonstrates how students can identify which polygon is translated using the characteristics of translation. It involves core math concepts like geometric transformations, polygon properties, and vector applications. Constructed using commands such as Polygon, Vector, Translate, Rotate, and Mirror, it is suitable for middle school and above students learning about geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → D, c, a, b
  2. Polygon(E, F, G) → H, g, e, f
  3. Vector(I, E) → u
  4. Polygon(J, K, L) → M, l, j, k
  5. Rotate(J, 90°, N) → J'
  6. Rotate(K, 90°, N) → K'
  7. Rotate(L, 90°, N) → L'
  8. Polygon(J', K', L') → M', l', j', k'
  9. Rotate(J, α, O) → J'_1
  10. Rotate(K, α, O) → K'_1
  11. Rotate(L, α, O) → L'_1
  12. Polygon(J'_1, K'_1, L'_1) → M'_1, l'_1, j'_1, k'_1
  13. Vector(P, Q) → v_1
  14. Translate(E, v_1) → E'_1
  15. Translate(F, v_1) → F'_1
  16. Translate(G, v_1) → G'_1
  17. Polygon(E'_1, F'_1, G'_1) → H'_1, g'_1, e'_1, f'_1
  18. Mirror(A, xAxis) → A'
  19. Mirror(B, xAxis) → B'
  20. Mirror(C, xAxis) → C'
  21. Polygon(A', B', C') → D', c', a', b'