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10A-2f Geometric Construction Exercise

10A-2f Geometric Construction Exercise
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2015-04-24 13:24
VectorTransformationGeometric Construction
In collections Geometry of Angles (Student Created)
This example demonstrates the geometric construction of Exercise 2f in 10A. Key mathematical concepts include geometric construction, transformation, and vectors. Using GeoGebra commands such as Segment, Point, Ray, Rotate, and Angle, complex geometric shapes can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Point(a) → C
  3. Ray(C, E) → b
  4. Segment(C, F) → c
  5. Point(yAxis) → D
  6. Segment(C, D) → e
  7. Ray(C, H) → f
  8. Rotate(F, -88*°, C) → F'_2
  9. Ray(C, I) → g
  10. Point(f) → K
  11. Segment(C, K) → h
  12. Segment(C, F'_2) → i
  13. Rotate(F, 70*°, C) → F'_1
  14. Point(b) → G
  15. Segment(C, G) → d
  16. Rotate(F, -20*°, C) → F'
  17. Rotate(F, 70*°, C) → F'_3
  18. Segment(C, N) → j
  19. Rotate(E, -20*°, C) → E'
  20. Angle(E', C, E) → γ
  21. Point(a) → P
  22. Segment(P, Q) → k
  23. Segment(P, R) → l
  24. Point(h) → S
  25. Point(i) → T
  26. Angle(k, e) → δ
  27. Rotate(F, -44*°, C) → F'_4
  28. Angle(F'_4, C, F) → α
  29. Segment(P, F'_4) → m
  30. Rotate(F'_4, -66*°, P) → U
  31. Angle(U, P, F'_4) → β
  32. Segment(P, W) → n

AI Drawing Prompt Reference

Draw a geometric figure with points C, E, F, G, H, I, K, N, P, Q, R, S, T, U, and W. Start by drawing segment AB and taking point C on it. Then draw ray CE, line segment CF, and ray CH. Rotate point F to get F'1, F'2, F'3, and F'4. Draw ray CI, line segment CK, line segment CN, and the rotation of ray CI to get E'. Calculate angles E', F'1, F'2, F'3, and F'4. Finally, draw line segments PF'4, PU, and PW.
The prompt above was compiled from the original drawing commands and is for reference only.