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Translation of 2D Shapes by a Given Translation Vector

Translation of 2D Shapes by a Given Translation Vector
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2011-12-12 23:22
PolygonVectorCoordinate Geometry
This example demonstrates how to translate 2D shapes using a given translation vector. It involves core mathematical concepts like geometric transformations, vectors, coordinate geometry, and polygons. Key GeoGebra commands used include Polygon, Textfield, Intersect, Vector, and Translate. Suitable for high school mathematics teaching on geometric transformations, vector applications, and introductory coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(B, C, A, D) → poly1, b, c, a, d
  2. Textfield(f) → inputBox2
  3. Intersect(xAxis, yAxis) → K
  4. Vector(K, E) → u
  5. Translate(B, u) → B'
  6. Translate(C, u) → C'
  7. Translate(A, u) → A'
  8. Translate(D, u) → D'
  9. Polygon(B', C', A', D') → poly1', b', c', a', d'
  10. Textfield(f) → inputBox4
  11. Textfield(e) → inputBox1
  12. Textfield(e) → inputBox3

AI Drawing Prompt Reference

Draw a square formed by four points. First, mark points A, B, C, and D on the coordinate plane. Then, find the intersection point K of the x-axis and y-axis. Next, draw a vector u from K to E. After that, translate points A, B, C, and D by vector u to get A', B', C', and D'. Finally, connect these new points to form a larger square.
The prompt above was compiled from the original drawing commands and is for reference only.