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Side-Side-Angle Construction

Side-Side-Angle Construction
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2016-03-14 03:23
TriangleAngleGeometric Construction
In collections Triangle Congruence Activity
This example demonstrates the construction of a triangle using the Side-Side-Angle condition. It involves core mathematical concepts such as triangle congruence criteria, geometric construction, and angle measurement. Key GeoGebra commands and objects used in the construction include Circle, Point, Rotate, Ray, Intersect, Segment, Angle, If, and Distance. It is suitable for high school mathematics education, helping students understand triangle congruence and the practical application of geometric constructions.

GeoGebra Commands & Parameters

  1. Circle(A, 3.5) → c_1
  2. Point(Circle[A, 4]) → C
  3. Rotate(A, -53*°, C) → A'
  4. Ray(C, A') → c
  5. Intersect(c_1, c) → U, V
  6. Point(c) → D
  7. Point(Circle[A, 3.5]) → B
  8. Segment(A, B) → a
  9. Segment(A, C) → b
  10. Angle(A', C, A) → α
  11. If(Distance[D, B] < 0.05, If[(Distance[D, V] < 0.05) ∧ (Distance[B, V] < 0.05), Polygon[A, C, V], If[(Distance[D, U] < 0.5) ∧ (Distance[B, U] < 0.5), Polygon[A, C, U]]]) → poly1
  12. Segment(C, D) → d
  13. Intersect(c, d) → T
  14. Distance(D, B) → DB
  15. Distance(D, D) → DD