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SSA Congruence with Angle E congruent Angle F

SSA Congruence with Angle E congruent Angle F
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2018-12-18 09:08
TriangleAngleGeometric Construction
This example demonstrates that under the SSA congruence criterion, when two angles and the opposite side of one of them are equal, two congruent triangles can be constructed. Key mathematical concepts include triangle congruence, angle rotation, and symmetry. It uses GeoGebra commands such as Line, Point, Rotate, Angle, Circle, Intersect, and Segment. Suitable for middle school and above students to learn about triangle congruence through geometric construction.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Point(f) → C
  3. Rotate(B, α, C) → B'
  4. Angle(B, C, B') → β
  5. Line(C, B') → g
  6. Circle(C, two) → c
  7. Intersect(c, g, 2) → D
  8. Intersect(c, f, 1) → E
  9. Segment(C, E) → h
  10. Segment(C, D) → i
  11. Circle(E, one) → d
  12. Circle(D, one) → e
  13. Intersect(e, f, 2) → F
  14. Intersect(e, f, 1) → G
  15. Intersect(d, g, 2) → H
  16. Intersect(d, g, 1) → I
  17. Segment(E, I) → j
  18. Segment(D, F) → k
  19. Angle(D, F, C) → γ
  20. Angle(I, E, C) → δ
  21. Segment(I, C) → l
  22. Segment(C, F) → m
  23. Segment(E, H) → n
  24. Segment(D, G) → p