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Translation in the Coordinate Plane by Michael Bailey

Translation in the Coordinate Plane by Michael Bailey
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2015-05-12 01:09
VectorCoordinate GeometryTransformation
In collections translation along a vector
This example demonstrates translation in the coordinate plane. Key mathematical concepts include translation, vectors, and coordinate geometry. Using GeoGebra commands such as Polygon, Translate, and Vector, the process of translation is visually illustrated. Suitable for students at the middle school level and above to learn geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Textfield(tx) → inputBox1
  3. Textfield(ty) → inputBox2
  4. Translate(A, (tx, ty)) → A''
  5. Translate(B, (tx, ty)) → B''
  6. Translate(C, (tx, ty)) → C''
  7. Polygon(D, E, F, G) → poly2, d, e, f, g
  8. Segment(A, A'') → h
  9. Segment(B, B'') → i
  10. Segment(C, C'') → j
  11. Point(h) → A'_1
  12. Point(i) → B'_1
  13. Point(j) → C'_1
  14. Vector(A, A'_1) → u
  15. Vector(B, B'_1) → v
  16. Vector(C, C'_1) → w
  17. Polygon(A', B', C') → poly3, c', a', b'

AI Drawing Prompt Reference

Draw a triangle ABC, then translate it by vector (tx, ty) to form a new triangle A'B'C'. Use input boxes to set the values of tx and ty to control the translation distance. Draw vectors from the origin to the new points to generate vectors u, v, and w, and finally draw the translated triangle A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.