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SSS Triangle Construction by Chip Rollinson

SSS Triangle Construction by Chip Rollinson
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2014-07-15 06:52
TriangleCoordinate GeometryGeometric Construction
In collections Triangle Congruence Geometry - Triangle Congruence
This example demonstrates constructing a triangle using the Side Side Side (SSS) condition. Key mathematical concepts include triangle construction principles and geometric construction. It utilizes commands such as Line, Point, Segment, and Circle in GeoGebra. Suitable for middle school and above students to learn triangle construction and geometric construction.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → H
  3. Point(a) → G
  4. Point(a) → L
  5. Segment(G, L) → e
  6. Point(a) → C
  7. Point(a) → D
  8. Segment(C, D) → b
  9. Circle(K, b) → c
  10. Circle(N, b) → f
  11. Circle(K, b) → g
  12. Circle(N, b) → k
  13. Point(g) → I
  14. Segment(K, I) → j
  15. Point(k) → M
  16. Segment(N, M) → m
  17. Circle(K, e) → p
  18. Circle(N, e) → q
  19. Point(p) → O
  20. Segment(K, O) → n
  21. Point(q) → P
  22. Segment(N, P) → r
  23. Point(a) → E
  24. Point(a) → F
  25. Segment(E, F) → d
  26. Circle(I, d) → h
  27. Circle(M, d) → s
  28. Point(h) → J
  29. Segment(I, J) → i
  30. Point(s) → Q
  31. Segment(M, Q) → t

AI Drawing Prompt Reference

Draw a triangle by first creating three line segments as sides, then drawing circles with each side as the diameter. Connect the intersections of these circles to form the triangle, and also connect the centers of the circles to the intersections for additional geometric constructions.
The prompt above was compiled from the original drawing commands and is for reference only.