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Basic Triangle SAS Construction

Basic Triangle SAS Construction
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2016-10-27 05:04
TriangleCircleGeometric Construction
In collections Basic Constructions
This example demonstrates how to construct a triangle using the Side-Angle-Side (SAS) condition. It involves core mathematical concepts such as geometric construction, triangle formation, and basic geometric transformations. Key construction steps include using commands and objects like Segment, Circle, Point, Intersect, and Ray in GeoGebra. Suitable for middle school and above students to learn fundamental geometric construction techniques.

GeoGebra Commands & Parameters

  1. Segment(A, B) → b
  2. Segment(A', E) → a
  3. Segment(A', F) → c
  4. Segment(A'', B'') → d
  5. Circle(P, Segment[A, B]) → e
  6. Point(e) → C
  7. Segment(P, C) → f
  8. Circle(P, Segment[A', F]) → g
  9. Intersect(g, f) → D,
  10. Circle(A', Segment[A', F]) → h
  11. Intersect(h, a) → G,
  12. Circle(D, Segment[G, F]) → k
  13. Intersect(g, k) → H, I, ,
  14. Ray(P, H) → i
  15. Circle(P, Segment[A'', B'']) → p
  16. Intersect(p, i) → J,
  17. Segment(J, C) → j