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SSA Counterexample Demonstration

SSA Counterexample Demonstration
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2018-11-15 06:42
TriangleAngleTrigonometryGeometric Construction
This example illustrates that SSA (Side-Side-Angle) condition does not guarantee triangle congruence when the angle is opposite the smaller of the two given sides. It involves core math concepts like triangle construction, trigonometry, and geometric construction. The construction uses GeoGebra commands such as Circle, Point, Segment, Midpoint, Polygon, and Angle. Suitable for high school mathematics education to understand the limitations of SSA in determining triangle congruence.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Segment(B, C) → a
  4. Midpoint(a) → D
  5. Point(a) → E
  6. Polygon(A, B, E) → poligon1, e, a_1, b
  7. Angle(E, B, A) → α
  8. Polygon(E, C, A) → poligon2, a_2, e_1, c_1
  9. Angle(A, C, E) → β