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Angle Pairs 5

Angle Pairs 5
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2014-11-06 08:00
AngleTransformationGeometric Construction
In collections LAHS Angle Pairs
This example is designed for teacher demonstrations, illustrating basic concepts of angle pairs such as vertical angles and supplementary angles. Using GeoGebra commands like Line, Intersect, and Point, it dynamically shows the properties of angle pairs. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Line(D, E) → c
  4. Intersect(a, c) → F
  5. Intersect(b, c) → G
  6. Point(a) → H
  7. Point(b) → I
  8. Point(a) → J
  9. Point(b) → K
  10. Point(c) → L
  11. Point(c) → M
  12. Ray(F, H) → d
  13. Ray(F, L) → e
  14. Ray(F, J) → f
  15. Ray(F, M) → g
  16. Ray(G, K) → h
  17. Ray(G, L) → i
  18. Ray(G, I) → j
  19. Ray(G, M) → k
  20. Angle(d, e) → α
  21. Angle(e, f) → β
  22. Angle(f, g) → γ
  23. Angle(g, d) → δ
  24. Angle(j, i) → ε
  25. Angle(i, h) → ζ
  26. Angle(h, k) → η
  27. Angle(k, j) → θ

AI Drawing Prompt Reference

Draw two intersecting lines to form four angles. Mark the intersection point and the endpoints of each line. From the intersection point, draw rays along the directions of each line's two sides, totaling eight rays. Measure and label the angles between adjacent rays. Also, measure and label the angles of vertical and supplementary angles.
The prompt above was compiled from the original drawing commands and is for reference only.