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Definition of Congruent Angles

Definition of Congruent Angles
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2015-09-24 19:44
AngleTransformationGeometric Construction
This GeoGebra applet illustrates the definition of congruent angles through rotation and angle measurement. Students are then prompted to practice related concepts. The applet involves angle concepts and uses commands such as Rotate, Angle, Ray, Circle, Intersect. Suitable for middle school and above students learning geometry.

GeoGebra Commands & Parameters

  1. Rotate(A, α, B) → A'
  2. Angle(A, B, A') → β
  3. Rotate(C, α, D) → C'
  4. Angle(C, D, C') → γ
  5. Rotate(E, α, F) → E'
  6. Angle(E, F, E') → δ
  7. Ray(B, A') → a
  8. Ray(B, A) → b
  9. Ray(F, E) → c
  10. Ray(F, E') → d
  11. Ray(D, C) → e
  12. Ray(D, C') → f
  13. Circle(B, 5.5) → g
  14. Circle(F, 5.5) → h
  15. Circle(D, 5.5) → k
  16. Intersect(g, a) → G,
  17. Intersect(g, b) → H,
  18. Intersect(h, c) → I,
  19. Intersect(h, d) → J,
  20. Intersect(k, f) → K,
  21. Intersect(k, e) → L,
  22. Vector(B, H) → u
  23. Vector(B, G) → v
  24. Vector(F, I) → w
  25. Vector(F, J) → i
  26. Vector(D, L) → j
  27. Vector(D, K) → l

AI Drawing Prompt Reference

Draw two rays intersecting to form four angles, with two angles showing congruence through rotation. Use circles and rays to mark intersection points, and draw vectors to represent rotational relationships, creating a geometric figure that clearly illustrates angle measurement and transformation.
The prompt above was compiled from the original drawing commands and is for reference only.