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Concurrent Lines

Concurrent Lines
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2020-06-01 18:06
TriangleAngleGeometric Construction
In collections Isometries
This example demonstrates the concept of concurrent lines, involving the incircle and angle relationships in a triangle. Using GeoGebra commands such as Rotate, Line, Mirror, Angle, and Segment, the construction of concurrent lines is illustrated. Suitable for middle school and above students to learn geometric construction and triangle properties.

GeoGebra Commands & Parameters

  1. Rotate(P_1, α, O) → A'
  2. Line(P_1, O) → f
  3. Line(A', O) → g
  4. Line(P_2, O) → h
  5. Mirror(A, f) → A_1
  6. Mirror(A_1, g) → A_2
  7. Mirror(A_2, h) → A_3
  8. Angle(P_1, O, A') → γ
  9. Rotate(h, (-α), O) → h'
  10. Segment(A_3, A) → i