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Dilating a Triangle

Dilating a Triangle
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2018-11-21 06:34
TriangleTransformationGeometric Construction
This activity demonstrates the relationship between line segments and angles in dilated/similar triangles. Key concepts include similarity, scaling transformations, and geometric proportions. Construction involves GeoGebra commands like Line, OrthogonalLine, Polygon, Dilate, and Ray. Suitable for middle or high school mathematics classes to enhance geometric intuition and hands-on learning.

GeoGebra Commands & Parameters

  1. Line(B, C) → f
  2. OrthogonalLine(C, f) → g
  3. Polygon(B, C, A) → poly1, d, b, c
  4. Dilate(B, k, O) → B'
  5. Dilate(C, k, O) → C'
  6. Dilate(A, k, O) → A'
  7. Polygon(B', C', A') → poly1', a', b', c'
  8. Ray(O, C) → h
  9. Ray(O, A) → i
  10. Line(C, A) → j
  11. Line(C', A') → l
  12. Line(B, A) → m
  13. Line(B', A') → n
  14. Line(B', C') → r