Plato-match each set of conditions with the corresponding relationship between ∆abc and ∆xyz and the criterion (if any) that proves the relationship.

The first box on the left would be matched with the third box on the right, because the left one is saying that two of the sides are equal, and one angle is equal, therefore, SSA, or SAS.

The second one on the left is matched with the last one on the right, because it says that two of the angles are equal, and one side is equal, hence, AAS, or ASA.

The last one on the left is matched with the first one on the right, because it says all three sides are equal, therefore, SSS. 

The third one on the left is matched with the second one on the left. I'll be honest, I'm not sure why this is, (geometry isn't my best subject either Dx)  but by the process of elimination, this is it.