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Using a Protractor to Measure an Angle by Nicolas ERDRICH

Using a Protractor to Measure an Angle by Nicolas ERDRICH
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2012-01-23 02:28
AngleVectorGeometric Construction
This example demonstrates how to use a protractor to measure an angle. Key mathematical concepts include angle measurement and geometric construction. Commands used include Circle, Point, Line, OrthogonalLine, If, Intersect, Vector, Segment, Sequence, Translate, Angle, and Textfield. Suitable for middle school and above students to learn angle measurement and geometric construction.

GeoGebra Commands & Parameters

  1. Circle(A, 5.4) → c
  2. Point(c) → B
  3. Line(B, A) → a
  4. OrthogonalLine(A, a) → b
  5. If(n ≟ 0, Random[10, 175], Random[190, 350]) → rndom
  6. Circle(M_1, 6) → q
  7. Intersect(q, Line[M_1, M_5]) → M_2, M_4
  8. Circle(A, 4.5) → g
  9. Circle(A, 4) → e
  10. Circle(A, 5) → d
  11. Vector(A, A) → u
  12. Intersect(e, a, 2) → I_0
  13. Intersect(d, a, 1) → L_0
  14. Segment(I_0, L_0) → f
  15. Intersect(g, f, 2) → J_0
  16. Segment(J_0, L_0) → h
  17. Circle(A, 4.75) → k
  18. Intersect(k, h, 1) → K_0
  19. Segment(L_0, K_0) → i
  20. Sequence(Translate[Segment[Rotate[J_0, 5° * k, A], Rotate[L_0, 5° * k, A]], u], k, 1, 36) → GraduationsCinq
  21. Translate(b, u) → b'
  22. Point(b) → D
  23. Circle(D, 2) → p
  24. Sequence(Translate[Segment[Rotate[L_0, k°, A], Rotate[K_0, k°, A]], u], k, 1, 180) → GraduationsUnités
  25. Sequence((Random[10, 15], Random[-5, 5]), k, 0, 2) → Liste
  26. Angle(M_2, M_1, Rotate[M_2, rndom°, M_1]) → ang_2
  27. Textfield(ang) → entrée
  28. Segment(M_1, M_2) → l
  29. Segment(M_1, Rotate[M_2, ang_2, M_1]) → s
  30. Segment(A, B) → m
  31. Intersect(p, a) → J, J_2
  32. Intersect(p, a, 1) → H
  33. Intersect(e, a) → C, E
  34. Sequence(Translate[Segment[Rotate[C, 10° * k, A], Rotate[L_0, 10° * k, A]], u], k, 0, 18) → GraduationsDizaines
  35. If(abs(ang_2 - 31°) < 0.5°, Text["BRAVO !"], Text[" FAUX ! "]) → texte
  36. If(n ≟ 0, Random[10, 175], Random[190, 350]) → rndom_1
  37. Circle(M_6, 6) → q_1
  38. Intersect(q_1, Line[M_6, M_3]) → M_7, M_8
  39. Angle(M_7, M_6, Rotate[M_7, rndom_1°, M_6]) → ang_1
  40. Segment(M_6, M_7) → l_1

AI Drawing Prompt Reference

Draw a geometric figure with circles, points, lines, and angle measurement. Start by drawing a circle and taking a point on it as the starting point. Draw a line segment from this point, then draw a perpendicular line. Randomly generate an angle and use it to pick two points on the circle, connecting them to form an angle. Use vectors to translate these segments and create degree markings. Finally, check if the generated angle is correct.
The prompt above was compiled from the original drawing commands and is for reference only.