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Angle Review

Angle Review
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2019-12-29 05:06
AngleTrigonometryCoordinate Geometry
This example demonstrates the basic concepts of angles and their applications in geometry. It involves core math concepts such as trigonometry, unit circle, and similar triangles. Using GeoGebra commands like Circle, Sort, and Zip, it dynamically shows the measurement and transformation of angles. Suitable for middle and high school students learning geometry and trigonometry.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → c
  2. Sort(Union[Sequence[30, 360, 30], Sequence[45, 360, 45]]) → angles
  3. Zip((cos(t), sin(t)), t, angles°) → points
  4. Point(points) → A
  5. Segment((0, 0), A) → f
  6. Segment(A, (x(A), 0)) → g
  7. Segment((0, 0), (x(A), 0)) → h
  8. Max(Sequence[If[A ≟ points(p), p, 0], p, 1, Length[points]]) → ptChoice
  9. Zip(Text[a + "°", p], a, angles, p, (1.13 * points) + (-0.08, -0.04)) → degLabels
  10. Angle((1, 0), (0, 0), A) → θ
  11. Zip(Text[SurdText[a / 180] + "\pi", p], a, angles, p, (1.13 * points) + (-0.08, -0.04)) → radLabels