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Translation Demonstration by Peter Mitchell

Translation Demonstration by Peter Mitchell
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2016-04-15 01:20
VectorCoordinate GeometryTransformationGeometric Construction
This example demonstrates the geometric effect and coordinate changes of a translation transformation. It involves core math concepts like vectors, line segments, polygons, coordinate geometry, and transformation. Construction highlights include commands/objects like Segment, Polygon, Vector, and Translate in GeoGebra. Suitable for high school students learning geometric transformations and coordinate representations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(C, B) → b
  3. Segment(A, C) → c
  4. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  5. Vector(D, E) → u
  6. Vector(F, G) → v
  7. Translate(A, v) → A'
  8. Translate(B, v) → B'
  9. Translate(C, v) → C'
  10. Polygon(A', B', C') → poly1', c', a', b'

AI Drawing Prompt Reference

Draw a triangle ABC, then draw vector u from point D to point E, and draw vector v from point F to point G. Translate each point of triangle ABC along vector v to get a new triangle A'B'C'. Observe the changes in the figure before and after the translation.
The prompt above was compiled from the original drawing commands and is for reference only.