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Bearings Test

Bearings Test
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2012-11-22 22:30
CircleAngleGeometric Construction
In collections Randomised Questions
This example demonstrates how students can drag a circular protractor to answer random bearings questions and check their answers, involving core math concepts like angle measurement and circle application. It uses GeoGebra commands such as Circle, Point, Ray, Angle, Sequence, Shuffle, Element, Translate, Length. Suitable for middle school and above students for learning and practicing angle measurement and bearings problems.

GeoGebra Commands & Parameters

  1. Circle(A, 1.05 * x(-Corner[protractor2, 1] + Corner[protractor2, 2]) / 2) → c
  2. Point(c) → B
  3. Ray(A, B) → a
  4. Angle(B, A, C) → α
  5. Sequence(Sequence[(i, j), i, 1, 3], j, 1, 3) → list1
  6. Shuffle(Join[list1]) → list2
  7. Element(list2, 1) → P1
  8. Element(list2, 2) → P2
  9. Element(list2, 3) → P3
  10. Element(list2, 4) → P4
  11. Element(list2, 5) → P5
  12. Element(list2, 6) → P6
  13. Element(list2, 7) → P7
  14. Element(list2, 8) → P8
  15. Element(list2, 9) → P9
  16. Translate(P1, Vector[(0.6894012237733165, 0.585122047068108)]) → windmill
  17. Translate(P1, Vector[(0.49242944555236856, 0.6256750602312446)]) → telephone
  18. Translate(P2, Vector[(0.6025019098523097, 0.7647139625048547)]) → station
  19. Translate(P4, Vector[(0.37077040606295997, 0.5271891711207708)]) → mast
  20. Translate(P5, Vector[(0.41132341922609594, 0.8979595771837308)]) → church_spire
  21. Translate(P6, Vector[(0.2143516410051487, 0.09269260151573988)]) → carpark
  22. Length(points) → n
  23. Shuffle(Sequence[n]) → list3
  24. Element(list3, 1) → n1
  25. Element(list3, 2) → n2
  26. Element(points, n1) → A1
  27. Element(points, n2) → A2
  28. Angle(A2, A1, A1 + (0, 1)) → β
  29. Angle(A2, A1, A1 + (0, 1)) → γ

AI Drawing Prompt Reference

Draw a circular protractor with a draggable center point, randomly generate multiple points, extend rays from these points to form various angles, used for measuring and calculating directional bearings, demonstrating core mathematical concepts of angle measurement and circle applications, suitable for middle school students to learn and practice angle measurement and bearing problems.
The prompt above was compiled from the original drawing commands and is for reference only.