MathPlotAI Logo MathPlotAI

Translation Transformation

Translation Transformation
Loading the math board and drawing, please wait…
2018-11-15 01:15
VectorTransformationGeometric Construction
This example demonstrates the concept of translation transformation. By using vector and point translation commands, it visually shows how shapes change under translation operations. Key mathematical concepts include vector and point translation. Construction highlights include the use of Point, Polygon, Vector, Translate commands. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Point(yAxis) → C
  2. Polygon(A, B, C) → t1, c, a, b
  3. Point(xAxis) → E
  4. Vector(D, E) → u
  5. Translate(yAxis, u) → yAxis'
  6. Translate(A, u) → A'
  7. Translate(B, u) → B'
  8. Translate(C, u) → C'
  9. Polygon(A', B', C') → t1', c', a', b'
  10. Vector(G, H) → v
  11. Translate(A', v) → A''
  12. Translate(B', v) → B''
  13. Translate(C', v) → C''
  14. Polygon(A'', B'', C'') → t1'', c'', a'', b''

AI Drawing Prompt Reference

Draw a triangle t1 with points A, B, and C. Then translate t1 using vector u to get t1'. Finally, translate t1' again using vector v to obtain t1''.
The prompt above was compiled from the original drawing commands and is for reference only.