The missing piece of information would allow the triangles in the figure to be proven congruent by AAS is; C: ∠C ≅∠C'
What is the AAS Congruency Rule?
The AAS congruence rule states that if any two consecutive angles of a triangle along with a non-included side are equal to the corresponding consecutive angles and the non-included side of another triangle, then the two triangles are said to be congruent.
Now, from the two given triangles we see that;
In triangle ABC, we have the included side as AB with an angle ∠B.
Similarly, in triangle A'B'C', we have the included side A'B' with an angle ∠B.
Thus, if we apply the AAS Congruency rule as stated above, then we can say that the other consecutive angles that are congruent are;
∠C ≅ ∠C'
Read more about AAS Congruency at; https://brainly.com/question/7727792
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