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Define a Median

Define a Median
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2016-02-07 22:55
TriangleVectorGeometric Construction
In collections Functions on the Domain of Space - Polygons
This example demonstrates how to define a median in a triangle. Key mathematical concepts include the midpoint and median of a triangle. Using GeoGebra commands such as Segment, Point, and Polygon, students can visually understand the definition and properties of a median. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(B, C) → b
  3. Segment(C, A) → c
  4. Point(b) → D
  5. Segment(A, D) → d
  6. Polygon(A, D, B) → poly1, b_1, a_1, d_1
  7. Polygon(A, C, D) → poly2, d_2, a_2, c_1
  8. Segment(D, B) → e
  9. Segment(D, C) → f
  10. Angle(B, A, D) → α
  11. Angle(D, A, C) → β
  12. Angle(A2) → γ, δ, ε
  13. Distance(B, D) → BD
  14. Distance(C, D) → CD