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Transformations - Introduction to Translations

Transformations - Introduction to Translations
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2017-01-31 18:00
VectorTransformationGeometric Construction
This example demonstrates the basic concept of translation transformation. By using translation vectors, we can move a figure to a new position. Key mathematical concepts include vectors and translation. GeoGebra commands used include Polygon, Intersect, Vector, and Translate. Suitable for middle school and above students to learn geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → D
  3. Vector(D, E) → u
  4. Translate(A, u) → A'
  5. Translate(B, u) → B'
  6. Translate(C, u) → C'
  7. Polygon(A', B', C') → poly1', c', a', b'

AI Drawing Prompt Reference

Draw a triangle ABC, then translate it using vector DE to form a new triangle A'B'C'. First, find the intersection point D of the x-axis and y-axis, then draw vector u from D to E, next translate points A, B, and C along vector u to get A', B', and C', and finally draw the new triangle A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.