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Line Segment Division and Geometric Transformation

Line Segment Division and Geometric Transformation
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2019-03-12 21:27
SequenceTransformationGeometric Construction
This example demonstrates how to divide a line segment using geometric transformations, involving concepts such as similarity, proportional division, and geometric construction. The construction uses GeoGebra commands like Segment, Dilate, and Sequence to create line segments, scaling, and sequences. Suitable for middle school students learning geometric transformations and proportional division.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Dilate(C, n, B) → C'_1
  4. Sequence(Dilate[C, i, B], i, 2, n - 1) → C'
  5. Segment(C'_1, A) → h
  6. Sequence(Line[Dilate[C, i, B], h], i, 1, n - 1) → l1
  7. Segment(C'_1, B) → i
  8. Sequence(Dilate[A, i / n, B], i, 1, n) → l2