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Dilating a Line Segment

Dilating a Line Segment
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2018-01-05 03:58
TransformationGeometric ConstructionSlider Animation
This example demonstrates how to dilate a line segment using the Segment and Dilate commands. Key mathematical concepts include similarity transformation and segment ratio. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Dilate(A, r, C) → A'
  3. Dilate(B, r, C) → B'
  4. Segment(A', B') → f'

AI Drawing Prompt Reference

Draw a line segment AB, then dilate point A and B by a factor of r with C as the center to get A' and B', and finally draw the line segment A'B'.
The prompt above was compiled from the original drawing commands and is for reference only.