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Medians of Similar Triangles

Medians of Similar Triangles
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2019-03-02 00:47
TriangleTransformationGeometric Construction
This example demonstrates the properties and construction of medians in similar triangles. Key math concepts include similar triangles, medians, midpoints, and dilation transformations. Construction highlights involve Polygon, Dilate, Midpoint, and Segment commands in GeoGebra. Suitable for high school students to explore geometric properties of similar triangles, ideal for classroom demonstrations and exploratory activities.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Dilate(A, 3, D) → X
  3. Dilate(B, 3, D) → Y
  4. Dilate(C, 3, D) → Z
  5. Polygon(X, Y, Z) → t1', c', a', b'
  6. Midpoint(a) → E
  7. Midpoint(a') → F
  8. Segment(A, E) → f
  9. Segment(X, F) → g
  10. Segment(B, E) → h
  11. Segment(E, C) → i
  12. Segment(Y, F) → j
  13. Segment(F, Z) → k