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Translate Triangle by a Vector

Translate Triangle by a Vector
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2019-06-21 01:08
TriangleVectorCoordinate GeometryGeometric Construction
This example demonstrates translating a triangle by a vector. By observing which points can be moved and which cannot, understand the properties of translation. Commands used include Polygon, Intersect, Vector, and Translate. Suitable for middle school and above students learning 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 the vector u from point D to point E. First, draw triangle ABC, then find the intersection point D of the x-axis and y-axis, next draw vector u, and finally translate points A, B, and C to get A', B', and C', forming a new triangle A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.