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Proving Triangles Congruent, Part 1

Proving Triangles Congruent, Part 1
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2015-10-29 23:22
TriangleCoordinate GeometryGeometric Construction
In collections Transformations and triangle congruence
This applet demonstrates that ASA is a test for triangle congruence. It involves the core mathematical concept of triangle congruence conditions. Using GeoGebra commands such as Polygon, Intersect, Segment, Angle, Distance, etc., it constructs triangles that meet the ASA condition. Suitable for students in middle school and above to learn about triangle congruence.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → D_1
  3. Segment(E, D) → d
  4. Segment(E, H) → e
  5. Segment(D, H) → f
  6. Angle(B, A, C) → α
  7. Angle(C, B, A) → β
  8. Angle(A, C, B) → γ
  9. Distance(b, c) → g
  10. Distance(d, a) → h
  11. Angle(H, E, D) → δ
  12. Angle(E, D, H) → ε
  13. Point(e) → E_1
  14. Point(f) → G