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Trig Ratio Estimations Quiz

Trig Ratio Estimations Quiz
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2017-07-11 08:16
TriangleTrigonometryCoordinate GeometryGeometric Construction
In collections Similarity & Right Triangle Trigonometry Similarity, Right Triangles, and Trigonometry (SRT) Cluster
This example demonstrates the process of estimating trigonometric function values at acute angles in a triangle. Core math concepts include trigonometric functions, similar triangles, and percentage estimations. It is constructed using GeoGebra commands like Random, Segment, OrthogonalLine, Rotate, Angle, Ray, Circle, Intersect, Polygon, and Textfield, making it suitable for high school mathematics teaching with instant feedback.

GeoGebra Commands & Parameters

  1. Random(5, 85) → t
  2. Segment(A, B) → f
  3. OrthogonalLine(B, f) → g
  4. Rotate(B, (t * π / 180), A) → B'
  5. Angle(B, A, B') → α
  6. Ray(A, B') → h
  7. Circle(B, 2) → c
  8. Intersect(c, g, 2) → C
  9. Ray(B, C) → i
  10. Intersect(h, i) → D
  11. Segment(B, D) → j
  12. Segment(A, D) → k
  13. Polygon(A, B, D) → poly1, d, a_1, b
  14. Rotate(B, If[0 < e ≤ 1, (-((e * (π / 2 - α)))), α - π / 2], D) → B'_1
  15. Rotate(D, If[0 < e ≤ 1, (-((e * (π / 2 - α)))), α - π / 2], D) → D'
  16. Segment(B'_1, D') → j'
  17. Rotate(A, If[0 < l ≤ 1, (α * l), α], A) → A'
  18. Rotate(B, If[0 < l ≤ 1, (α * l), α], A) → B'_2
  19. Segment(A', B'_2) → f'
  20. Rotate(B, If[0 < m ≤ 1, (m * π / 2), π / 2], B) → B'_3
  21. Rotate(D, If[0 < m ≤ 1, (m * π / 2), π / 2], B) → D'_1
  22. Segment(B'_3, D'_1) → j'_1
  23. Textfield(a) → InputBox1
  24. Angle(D, B, A) → β
  25. Random(1, 3) → choice
  26. Textfield(v) → InputBox2