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Triangle Median Illustrator & Definition Writing Prompt

Triangle Median Illustrator & Definition Writing Prompt
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2019-06-25 04:48
TriangleGeometric Construction
This example dynamically illustrates the properties and definition of a triangle's median through interactive operations, visually demonstrating the median's connection from a vertex to the midpoint of the opposite side. Core mathematical concepts include triangles, medians, midpoints, intersections, continuity, hypothesis testing, and area calculation. The construction utilizes GeoGebra commands and objects such as Polygon, Segment, Midpoint, Dilate, and Rotate. Suitable for high school mathematics teaching, this tool aids geometric construction demonstrations and definition writing exercises for students.

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