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SAS Congruence by Kiley Thergesen

SAS Congruence by Kiley Thergesen
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2015-12-01 00:03
TriangleAngleGeometric Construction
This example illustrates the SAS (Side-Angle-Side) Congruence Theorem, which states that if two triangles have two sides and the included angle equal, then the triangles are congruent. Using GeoGebra commands such as Polygon, Segment, and Angle, this example provides a visual demonstration of the theorem. Suitable for students in middle school and above studying geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Circle(A', c) → d
  3. Point(d) → B'
  4. Segment(A', B') → e
  5. Angle(A, B, C) → α
  6. Point(c) → D
  7. Circle(B, D) → f
  8. Intersect(f, a, 1) → E
  9. Circle(D, E) → g
  10. Circle(B', Radius[f]) → h
  11. Intersect(h, e, 1) → F
  12. Circle(F, Radius[g]) → k
  13. Intersect(h, k, 1) → G
  14. Ray(B', G) → i
  15. Circle(B', a) → p
  16. Intersect(p, i, 1) → C'
  17. Segment(B', C') → j
  18. Angle(A', B', C') → β