MathPlotAI Logo MathPlotAI

Vector Translations (Intro)

Vector Translations (Intro)
Loading the math board and drawing, please wait…
2019-11-13 00:46
PolygonVectorTransformationGeometric Construction
This example demonstrates the process of translating shapes using vectors. Key math concepts include vectors, translation transformations, and polygon construction. It utilizes GeoGebra commands like Polygon, Vector, Translate, and Segment. Suitable for middle school and above students learning the basics of vectors and geometric transformations.

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, (x(A'), y(A))) → f
  8. Segment(A', (x(A'), y(A))) → g
  9. Segment(B, (x(B'), y(B))) → h
  10. Segment(B', (x(B'), y(B))) → i
  11. Segment(C, (x(C'), y(C))) → j
  12. Segment(C', (x(C'), y(C))) → k
  13. Vector(B, B') → v
  14. Vector(A, A') → w
  15. Vector(C, C') → d
  16. Segment(D, (x(E), y(D))) → n
  17. Segment(E, (x(E), y(D))) → p

AI Drawing Prompt Reference

Draw a triangle ABC, then use vector DE to translate it and create a new triangle A'B'C'. First, draw triangle ABC, then draw vector DE, and translate points A, B, and C to A', B', and C' respectively, and finally connect the vertices of triangle A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.