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Exploring AAS Congruence by jroe

Exploring AAS Congruence by jroe
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2012-02-27 08:02
TriangleAngleGeometric Construction
In collections Similarity and Congruence Year 8 Pedagogies in Practice
This example demonstrates whether given two angles and a non-included side (AAS) guarantee triangle congruence through exploration. Core concepts include triangle congruence criteria, angle measurement, and side length calculation. GeoGebra commands and objects used in construction are Rotate, Angle, Ray, Point, Segment, and Polygon. Suitable for middle school and above, enhancing geometric proof and logical reasoning skills.

GeoGebra Commands & Parameters

  1. Rotate(A, -Angle_B, B) → B'
  2. Angle(B', B, A) → α
  3. Ray(B, B') → a
  4. Point(a) → C_1
  5. Segment(B, C_1) → b
  6. Segment(B, A) → c
  7. Angle(D, A, B) → β
  8. Rotate(D, -(β - Angle_A), A) → C
  9. Angle(C, A, D) → γ
  10. Segment(A, C) → d
  11. Angle(C, A, B) → δ
  12. Segment(B, C_1) → e
  13. Segment(C_1, C) → f
  14. Polygon(B, C, A) → poly1, a_1, b_1, c_1
  15. Segment(C, B) → g
  16. Segment(B, A) → h
  17. Angle(A, C, B) → ε