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Angle-Angle-Angle Construction

Angle-Angle-Angle Construction
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2017-04-11 22:21
TriangleAngle
In collections Triangle Congruence Theorems
This example demonstrates constructing a triangle using the Angle-Angle-Angle method. Key mathematical concepts include angle measurement and basic properties of triangles. It utilizes commands such as Segment, Rotate, Angle, Ray, and Intersect in GeoGebra. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → c
  2. Rotate(A, 25°, B) → A'
  3. Angle(A, B, A') → α
  4. Rotate(B, 260°, A) → B'
  5. Angle(B', A, B) → β
  6. Ray(B, A') → b_1
  7. Ray(A, B') → c_1
  8. Intersect(b_1, c_1) → C
  9. Angle(B, C, A) → γ
  10. Segment(A, C) → b
  11. Segment(B, C) → a
  12. Segment(D, E) → f
  13. Segment(F, D) → g
  14. Segment(E, F) → h