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Constructing Means

Constructing Means
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2018-05-27 12:12
TriangleCircleGeometric Construction
This example demonstrates how to construct the incircle and the midsegment of a triangle using geometric construction methods. Key math concepts involved include midpoints, incircles, similar triangles, and geometric constructions. Construction highlights are derived from GeoGebra commands: Point, Circle, Intersect, Segment, OrthogonalLine, Distance; objects include points A, B, C, F, G, D, E, H, I, J, K, etc. Suitable for middle school and above students to understand geometric construction techniques and related concept applications.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Intersect(c, xAxis, 2) → C
  5. Segment(C, B) → f
  6. Point(f) → D
  7. OrthogonalLine(D, f) → g
  8. Intersect(c, g) → E, F
  9. Segment(A, F) → h
  10. OrthogonalLine(D, h) → i
  11. Intersect(i, h) → G
  12. Segment(D, A) → j
  13. Segment(G, D) → k
  14. Distance(A, F) → distanceAF
  15. Distance(F, D) → distanceFD
  16. Distance(G, F) → distanceGF
  17. Segment(F, D) → l
  18. Segment(G, F) → m