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Copying an Angle by Caribou Contests

Copying an Angle by Caribou Contests
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2015-11-29 05:59
AngleCoordinate GeometryGeometric Construction
This example demonstrates how to copy an angle. Key mathematical concepts include the properties of angles and geometric construction. Using GeoGebra commands such as Line, Angle, Circle, and Intersect, the angle can be accurately copied. Suitable for middle school and above students to learn geometric construction techniques.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(A, C_1) → b
  3. Angle(C_1, A, B) → α
  4. Circle(A, Segment[A, B]) → circle2
  5. Intersect(circle2, b, 2) → F_1
  6. Point(b) → C
  7. Line(D, E_1) → f
  8. Circle(A, Segment[A, B]) → g
  9. Circle(D, Segment[A, B]) → h
  10. Circle(D, Segment[A, C]) → k
  11. Circle(A, Segment[A, C]) → j
  12. Intersect(k, f, 2) → E
  13. Circle(E, Segment[B, C]) → n
  14. Circle(C, Segment[B, C]) → m
  15. Intersect(h, n, 1) → F
  16. Line(D, F) → i
  17. Angle(E, D, F) → β