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22.5° Angle Construction

22.5° Angle Construction
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2017-10-24 11:20
AngleTrigonometryGeometric Construction
In collections Geometric Constructions Geometric Constructions
This example demonstrates how to construct a 22.5° angle using basic geometric commands like Rotate, Angle, Ray, Line, and Point. It involves core math concepts such as angle construction, rotation, and geometric drawing. Key steps include using commands like Rotate and Angle to define and manipulate geometric objects. Suitable for middle school students and above to learn geometric constructions.

GeoGebra Commands & Parameters

  1. Rotate(S, mAngle°, R) → R'
  2. Angle(S, R, R') → α
  3. Rotate(B, α, A) → B'
  4. Angle(B, A, B') → β
  5. Ray(A, B') → target1
  6. Rotate(B, (-α), A) → B'_1
  7. Angle(B'_1, A, B) → γ
  8. Ray(A, B'_1) → target2
  9. Ray(A, B) → g
  10. Line(A, B) → f
  11. Point(f) → C
  12. Ray(A, C) → h
  13. Line(A, B') → target3
  14. Line(A, B'_1) → target4