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2020-04-28 17:29
TriangleCircleGeometric Construction
This example demonstrates the incircle of a triangle. Key mathematical concepts include the incircle of a triangle, angle bisectors, and properties of circles. Construction highlights include using the Polygon command to create a triangle, the Circle command to draw a circle, and the AngularBisector command to draw angle bisectors. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Circle(B, 3) → d
  3. Point(d) → D
  4. Intersect(d, c, 1) → E
  5. Intersect(d, a, 1) → F
  6. Point(d) → G
  7. CircleArc(B, G, D) → e
  8. Circle(F, 6) → f
  9. Circle(E, 6) → g
  10. Point(g) → H
  11. Point(g) → I_1
  12. Point(f) → J
  13. Point(f) → K
  14. CircleArc(F, K, J) → h
  15. CircleArc(E, H, I_1) → k
  16. Intersect(h, k, 1) → I_2
  17. Ray(B, I_2) → i
  18. AngularBisector(b, c) → j, l
  19. Point(l) → L
  20. Ray(A, L) → m
  21. Intersect(i, m) → I
  22. Point(b) → M
  23. Circle(I, M) → p