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Angle Angle Side Postulate

Proving Congruent Triangles with AAS

The Angle Angle Side postulate (often abbreviated as AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included angle of another triangle, then these two triangles are congruent.
 Example of Angle Angle Side Proof (AAS)  
    ABC XYZ
  • Two angles and a non-included side are congruent
    • CAB = ZXY (angle)
    • ACB = XZY  (angle)
    • AB = XY  (side)
  • Therefore, by the Angle Angle Side postulate (AAS), the triangles are congruent.

  • Angle Side Angle Postulate Picture

Identify Angle Angle Side relationship



Identify which pair of triangles below does NOT illustrate an angle angle side (AAS) relationship.
 Answer 
Identify Angle Angle Side relationship (AAS)

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