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Translation Transformation Demo

Translation Transformation Demo
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2023-03-22 19:17
VectorCoordinate GeometryGeometric Construction
In collections geometriadinamica.es
This example demonstrates the geometric effect of translation transformation on shapes. It involves core math concepts like vectors, geometric transformations, and coordinate geometry. Construction highlights include using GeoGebra commands and objects such as Vector, Length, Line, Min, Circle, Intersect, OrthogonalLine, and Translate. Suitable for high school mathematics teaching to understand the properties and applications of translation transformations.

GeoGebra Commands & Parameters

  1. Vector(B_{18}, C_{18}) → u
  2. Length(u) → l1
  3. Line(D_1, u) → g
  4. Min(l1, (a * l1)) → d1
  5. Circle(D_1, d1) → h
  6. Intersect(h, g, 2) → E_1
  7. Vector(D_1, E_1) → w
  8. OrthogonalLine(B_{18}, u) → b
  9. Translate(pic2, w) → pic2'

AI Drawing Prompt Reference

Draw a geometric translation transformation demo: first create an original figure labeled pic2, then draw a vector u from point B18 to point C18 on the right side. Draw a line g through point D1 in the direction of vector u, find point E1 on this line such that the distance from D1 to E1 equals a specific value. Create another vector w from D1 to E1, then translate the original figure pic2 along vector w to obtain the translated figure pic2'. Also draw a perpendicular line b to vector u through point B18. The diagram should show the relationship between the original and translated figures.
The prompt above was compiled from the original drawing commands and is for reference only.