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Construct Congruent Angles by Shawnna Breach (2)

Construct Congruent Angles by Shawnna Breach (2)
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2017-01-06 00:41
AngleTrigonometryGeometric Construction
In collections Constructions 2016-2017 Constructions 2016-2017
This example demonstrates how to construct two congruent angles using geometric construction methods. Key math concepts include angles, congruence, and geometric construction. The construction involves commands/objects like Line, Ray, Circle, Intersect, and Angle from GeoGebra. Suitable for middle school students and above learning geometric construction techniques or for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Line(P, Q) → h
  2. Ray(A, B) → f
  3. Ray(A, C) → g
  4. Circle(A, Segment[A, B]) → c
  5. Intersect(c, g, 1) → D
  6. Circle(P, Segment[A, B]) → d
  7. Intersect(d, h, 2) → F
  8. Circle(F, Segment[B, D]) → e
  9. Intersect(d, e, 1) → G
  10. Ray(P, G) → i
  11. Ray(P, F) → j
  12. Angle(B, A, C) → α
  13. Angle(G, P, Q) → β