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Protractor Angle Measurement

Protractor Angle Measurement
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2018-02-10 09:39
AngleTrigonometryGeometric Construction
This example demonstrates how to measure angles using a protractor. It involves core mathematical concepts such as angle measurement and geometric construction. Key GeoGebra commands/objects used include Point, Segment, Mirror, Semicircle, OrthogonalLine, Circle, Intersect, Ray, and Angle. Suitable for middle school students and above learning geometric constructions and angle measurement techniques.

GeoGebra Commands & Parameters

  1. Point(Circle[O, 7]) → X
  2. Segment(O, X) → q
  3. Mirror(X, O) → X'
  4. Segment(O, X') → r
  5. Semicircle(X', X) → e
  6. OrthogonalLine(X, q) → i
  7. OrthogonalLine(O, q) → j
  8. Circle(X, 0.4) → s
  9. Circle(O, 0.4) → t
  10. Circle(X', 0.4) → c_1
  11. OrthogonalLine(X', r) → a
  12. Intersect(s, i) → B1, D1_1
  13. Intersect(t, j) → E1, K1
  14. Intersect(c_1, a) → L1, F1
  15. Ray(A, B) → f
  16. Ray(A, C) → g
  17. Angle(g, f) → α
  18. Ray(E, D) → h
  19. Ray(E, F) → k
  20. Angle(h, k) → β
  21. Ray(H, G) → l
  22. Ray(H, I) → m
  23. Angle(l, m) → γ
  24. Ray(J, K) → n
  25. Ray(J, L) → p
  26. Ray(J, M) → d
  27. Angle(d, p) → δ
  28. Angle(n, d) → ε
  29. Ray(N, U) → f_1
  30. Ray(N, P) → g_1
  31. Point(f_1) → Q
  32. Ray(Q, R) → h_1
  33. Angle(g_1, f_1) → ζ
  34. Angle(h_1, f_1) → η