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Side-Angle-Side Demonstration

Side-Angle-Side Demonstration
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2016-03-14 03:22
TriangleAngleGeometric Construction
In collections Triangle Congruence Activity
This example demonstrates the geometric construction of a triangle using the Side-Angle-Side (SAS) condition. It involves core mathematical concepts such as triangle construction, angle measurement, and segment length calculation. Key GeoGebra commands and objects used in the construction include Rotate, Angle, Ray, Circle, Intersect, Segment, and If. Suitable for high school geometry teaching to understand and apply the SAS theorem.

GeoGebra Commands & Parameters

  1. Rotate(E, 53*°, F) → E'
  2. Angle(E, F, E') → β
  3. Ray(F, E) → e
  4. Ray(F, E') → f
  5. Circle(F, 4) → g
  6. Intersect(g, e) → G,
  7. Circle(F, 3.2) → h
  8. Intersect(h, f) → H,
  9. Segment(G, F) → i
  10. Segment(F, H) → j
  11. Segment(G, I) → k
  12. If(Distance[H, I] < 0.05, Polygon[F, G, H]) → poly2