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SSS Triangle Congruence Exploration by dgibson

SSS Triangle Congruence Exploration by dgibson
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2014-11-26 21:34
TriangleAngleGeometric Construction
This GeoGebra applet is designed to help students explore and experiment with the Side-Side-Side (SSS) criteria for triangle congruence. It involves constructing triangles using polygons, circles, line segments, and angles. By adjusting these objects, students can visually understand the SSS criteria and grasp the concept of triangle congruence. Suitable for middle school and above students.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Circle(A', Segment[B, A]) → d
  3. Point(d) → B'
  4. Segment(A', B') → e
  5. Circle(A', Segment[C, A]) → f
  6. Point(f) → C'_1
  7. Segment(A', C'_1) → g
  8. Circle(B', Segment[C, B]) → h
  9. Point(h) → C'
  10. Segment(B', C') → i
  11. Angle(B', A', C'_1) → α
  12. Angle(C', B', A') → β
  13. Angle(C, A, B) → γ
  14. Angle(A, B, C) → δ
  15. Angle(B, C, A) → ε
  16. Angle(A', C', B') → ζ
  17. Angle(A', C'_1, B') → η
  18. Segment(C'_1, B') → j
  19. Segment(C', A') → k
  20. Point(k) → E
  21. Point(j) → F
  22. Segment(C', E) → l
  23. Segment(C'_1, F) → m
  24. Circle(C', 1) → p
  25. Intersect(p, k, 1) → D
  26. Segment(C', D) → n
  27. Circle(C'_1, 1) → q
  28. Intersect(j, m) → G
  29. Intersect(j, m) → H
  30. Intersect(q, j, 1) → I
  31. Segment(C'_1, I) → r
  32. Circle(A', C'_1) → s
  33. Ray(A', B') → t
  34. Intersect(s, t, 1) → J
  35. CircleArc(A', J, C'_1) → c_1
  36. Ray(B', A') → a_1
  37. Circle(B', C') → d_1
  38. Intersect(d_1, a_1, 1) → K
  39. CircleArc(B', C', K) → e_1

AI Drawing Prompt Reference

Draw a triangle with three line segments connecting three points. Draw a circle centered at each vertex passing through the adjacent vertex. Locate the position of the second vertex on the first circle and connect the two centers. Locate the position of the third vertex on the second circle and connect the two centers. Measure and display the interior angles of all triangles. Finally, draw a unit circle centered at the third vertex, find its intersections with the line segments, and draw auxiliary line segments and arcs.
The prompt above was compiled from the original drawing commands and is for reference only.