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Translation Demonstration by D.Jayaseelan

Translation Demonstration by D.Jayaseelan
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2016-09-29 12:52
PolygonVectorGeometric Construction
This example demonstrates the translation transformation of a triangle in a coordinate system. It involves core mathematical concepts like vectors, polygon construction, coordinate transformation, and translation operations. Key GeoGebra commands and objects used include Polygon, Vector, Translate, and LaTeX. Suitable for middle school and above students to learn geometric transformations and vector applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Vector(P, Q) → u
  3. Translate(A, u) → A'
  4. Translate(B, u) → B'
  5. Translate(C, u) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Vector(A, A') → v
  8. Vector(B, B') → w
  9. Vector(C, C') → d
  10. LaTeX(u, true, true) → text1

AI Drawing Prompt Reference

Draw a triangle ABC, then translate it using vector u to create a new triangle A'B'C'. First, draw triangle ABC, then define vector u, and translate points A, B, and C along vector u to get A', B', and C'. Finally, draw the new triangle A'B'C'. Pay attention to how vectors v, w, and d go from the origin to their respective points.
The prompt above was compiled from the original drawing commands and is for reference only.