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Translation Demonstration by Lisa Bendall

Translation Demonstration by Lisa Bendall
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2017-10-04 02:58
PolygonVectorCoordinate Geometry
This example demonstrates the process of translating a polygon using a vector; involves core math concepts like vectors, translation transformation, area of polygons, and coordinate geometry; constructed using commands/objects such as Polygon, Vector, Translate, Segment, Distance in GeoGebra; suitable for high school students learning geometric transformations, vector applications, and coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Vector(D, E) → u
  3. Translate(A, u) → A'
  4. Translate(B, u) → B'
  5. Translate(C, u) → C'
  6. Polygon(A', B', C') → t1', c', a', b'
  7. Segment(A, A') → f
  8. Segment(B, B') → g
  9. Segment(C, C') → h
  10. Distance(g, f) → d
  11. Segment(A, D) → i
  12. Segment(A', E) → j
  13. Segment(B, D) → k
  14. Segment(B', E) → l
  15. Segment(C, D) → m
  16. Segment(C', E) → n

AI Drawing Prompt Reference

Draw a polygon and then translate it using a vector to demonstrate the translation process. Start by creating the original polygon, then use a vector to represent the direction and distance of the translation. Translate the polygon according to the vector to obtain a new polygon. Finally, connect the vertices of the original polygon to the corresponding vertices of the translated polygon with line segments and measure the lengths of these segments to verify the accuracy of the translation.
The prompt above was compiled from the original drawing commands and is for reference only.