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Vector Translation of Shape

Vector Translation of Shape
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2014-03-04 00:34
PolygonVectorCoordinate Geometry
This example demonstrates how to translate a shape using a vector. It involves core math concepts like geometric transformations, vectors, polygons (e.g., kites, rhombuses), and coordinate geometry. Key GeoGebra commands/objects used include Polygon, Vector, and Translate. Suitable for high school students and teachers learning about geometric transformations and vectors.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F) → poly1, a, b, c, d, e, f
  2. Vector(B, G) → u
  3. Translate(A, u) → A'
  4. Translate(B, u) → B'
  5. Translate(C, u) → C'
  6. Translate(D, u) → D'
  7. Translate(E, u) → E'
  8. Translate(F, u) → F'
  9. Polygon(A', B', C', D', E', F') → poly1', a', b', c', d', e', f'

AI Drawing Prompt Reference

Draw a hexagon with six vertices, then create a vector starting from one vertex of the hexagon. Translate each vertex of the hexagon along the vector by the same distance to obtain new vertices, and connect these new vertices to form a new hexagon, demonstrating the translation effect of the vector.
The prompt above was compiled from the original drawing commands and is for reference only.