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SSS Triangle Congruence Exploration by Azucena Overman

SSS Triangle Congruence Exploration by Azucena Overman
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2013-11-16 11:08
TriangleGeometric ConstructionSlider Animation
In collections Triangle Congruence Exploration Triangle Congruence Triangle Congruence
This example demonstrates constructing triangles by adjusting the lengths of three sides, illustrating the SSS (Side-Side-Side) Triangle Congruence Theorem. It involves core math concepts like triangle congruence, geometric construction using commands such as Point, Segment, Circle, Intersect, and Angle in GeoGebra. Ideal for middle school and above to understand triangle congruence criteria.

GeoGebra Commands & Parameters

  1. Point(Circle[A, abs(AB)]) → B
  2. Segment(A, B) → b_2
  3. Circle(A, AC) → d
  4. Circle(B, BC) → e
  5. Intersect(d, e) → C, D, ,
  6. Segment(A, C) → f
  7. Segment(C, B) → g
  8. Segment(A, D) → h
  9. Segment(D, B) → i
  10. Angle(A, C, B) → α
  11. Angle(B, A, C) → β
  12. Angle(D, A, B) → γ
  13. Angle(C, B, A) → δ
  14. Angle(A, B, D) → ε
  15. Angle(B, D, A) → ζ
  16. Point(e) → C2
  17. Segment(B, C2) → j
  18. Point(d) → C1
  19. Segment(A, C1) → k
  20. Segment(C2, C1) → l
  21. Segment(C1, C) → m
  22. Segment(C1, D) → n

AI Drawing Prompt Reference

Draw a triangle with three sliders to adjust the lengths of its sides, demonstrating the SSS congruence theorem. First, draw the three sides, then draw circles with each side as the radius. The intersection points of the circles form the third vertices, creating two triangles. Label the angles and draw two auxiliary triangles to show congruence.
The prompt above was compiled from the original drawing commands and is for reference only.