
Two triangles are congruent if two adjacent angles and a side of one triangle are congruent with corresponding angles are congruent with two angles of the other triangle and a side that is not between the two angles is congruent with a corresponding side of the other triangle.^{[1]} In this case we say that the triangles are AAS congruent. AAS stands for Angle, Angle, Side. Click on the blue points in the manipulatives and drag them to change the figures. 
Step  Manipulative  Claim  Discussion 

1  These are the criterion for the proof. These are assumed to be true.  
2 
To show:  This is the claim. The proof will show that the claim is true.  
3 
If and then  If two corresponding angles of two triangles are congruent, then the third angle is congruent.  
4 
Since and and , then . Q.E.D.  Use ASA congruence to show that the two triangles are congruent. 
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