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Exploring Vertical Translation

Exploring Vertical Translation
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2013-03-26 22:56
VectorTransformationGeometric Construction
In collections Transformations
This example helps students explore and understand the concept of translation by observing how a new shape changes under a vertical translation. Key mathematical concepts include geometric transformations. The example uses commands like Polygon, Vector, and Translate in GeoGebra, allowing students to drag vectors to observe changes in the shape. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Vector(E, F) → u
  3. Vector(G, H) → w
  4. Translate(A, w) → A'
  5. Translate(B, w) → B'
  6. Translate(C, w) → C'
  7. Polygon(A', B', C') → poly1', c', a', b'

AI Drawing Prompt Reference

Draw a triangle ABC, then use vector w to vertically translate the triangle, observing the translated triangle A'B'C'. First, draw triangle ABC, then create vector w, and finally translate triangle ABC along vector w.
The prompt above was compiled from the original drawing commands and is for reference only.