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Triangle Median Exploration & Definition Writing Prompt

Triangle Median Exploration & Definition Writing Prompt
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2019-05-17 02:45
TriangleTransformationGeometric Construction
This example demonstrates the concept of a triangle's median through a dynamic and modifiable illustration. Key mathematical concepts include the definition and properties of triangle medians. It uses commands such as Polygon, Segment, Midpoint, Dilate, and Rotate in GeoGebra. Suitable for middle school and above students learning about triangles.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Segment(C, A) → f
  3. Segment(C, B) → g
  4. Midpoint(A, B) → M
  5. Dilate(A, If[0 < d ≤ 1, 1 - d, 0], M) → A'
  6. Segment(A, A') → h
  7. Rotate(A, If[1 < d ≤ 2, ((-(d - 1)) * π), (-π)], M) → A'_1
  8. Rotate(A', If[1 < d ≤ 2, ((-(d - 1)) * π), (-π)], M) → A''
  9. Segment(A'_1, A'') → h'
  10. Dilate(C, If[2 < d ≤ 3, 3 - d, 0], M) → C'
  11. Segment(C, C') → i
  12. Segment(C, M) → j