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Translation of Shapes by Michael Bailey

Translation of Shapes by Michael Bailey
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2015-05-12 01:07
VectorTransformationGeometric Construction
This example demonstrates the concept of shape translation. Key mathematical concepts include translation transformation. Using GeoGebra commands such as Polygon, Segment, Point, Vector, etc., the translated shape can be constructed. Suitable for students at junior high school level and above to learn geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Segment(A, A_2) → d
  3. Segment(B, B_2) → e
  4. Segment(C, C_2) → f
  5. Point(d) → A'
  6. Point(e) → B'
  7. Point(f) → C'
  8. Vector(A, A') → u
  9. Vector(B, B') → v
  10. Vector(C, C') → w
  11. Polygon(A', B', C') → poly2, c', a', b'
  12. Angle(C, A, B) → α
  13. Angle(A, B, C) → β
  14. Angle(B, C, A) → γ
  15. Distance(A, B) → distanceAB
  16. Distance(B, C) → distanceBC
  17. Distance(C, A) → distanceCA

AI Drawing Prompt Reference

Draw a triangle and then sketch line segments from each vertex to their corresponding new positions, labeling these as vectors. Next, construct a new triangle using these vectors to show the translation of the shape. Finally, annotate the lengths of the sides for both triangles and the angles at each vertex to highlight the geometric properties of the translation transformation.
The prompt above was compiled from the original drawing commands and is for reference only.