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Translation Transformation Demo by chisunch1

Translation Transformation Demo by chisunch1
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2015-12-02 17:20
VectorCoordinate GeometryTransformation
This example demonstrates the effect of translation transformation in a coordinate system by translating a polygon using vector u. It involves core mathematical concepts like vectors, translation transformation, and coordinate geometry. Key GeoGebra commands used include Intersect, Vector, Polygon, and Translate. Suitable for high school students learning about the properties of geometric transformations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Vector(O, M) → u
  3. Polygon(A, B, C, D, E, F, G) → poly1, a, b, c, d, e, f, g
  4. Translate(A, u) → A'
  5. Translate(B, u) → B'
  6. Translate(C, u) → C'
  7. Translate(D, u) → D'
  8. Translate(E, u) → E'
  9. Translate(F, u) → F'
  10. Translate(G, u) → G'
  11. Polygon(A', B', C', D', E', F', G') → poly1', a', b', c', d', e', f', g'
  12. Vector(O, MX) → v
  13. Vector(MX, M) → w
  14. Vector(A, A') → i

AI Drawing Prompt Reference

In a coordinate system, mark the intersection point of the x-axis and y-axis, then draw a heptagon. Next, use the line segment from the origin to one vertex of the heptagon as a vector to translate the heptagon, creating a new heptagon. Finally, draw the line segment from the origin to one vertex of the new heptagon and show the translation vector and this line segment to demonstrate the effect of the translation transformation.
The prompt above was compiled from the original drawing commands and is for reference only.