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Dilation Trajectory of a Point

Dilation Trajectory of a Point
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2014-05-01 16:29
Coordinate GeometryTransformationGeometric Construction
In collections Dilation Animations
This example demonstrates the trajectory of a point under a dilation transformation. The key mathematical concepts involved are similarity transformation and geometric construction. Using GeoGebra commands Intersect, Dilate, and Line, the point A is dilated by a factor k to produce the image B'. Suitable for students at the junior high school level and above to learn about similarity transformations and geometric constructions.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Dilate(B, k, A) → B'
  3. Line(A, B) → a

AI Drawing Prompt Reference

Draw a point A at the origin of the coordinate system, then dilate it by a factor of k around point A to get point B', and finally connect point A and point B'. This will demonstrate the trajectory of a point under a dilation transformation.
The prompt above was compiled from the original drawing commands and is for reference only.