Final answer:
In congruent polygons EMILY and JACOB, the side corresponding to YE is OB, which is congruent to YE.
Step-by-step explanation:
To determine which side corresponds to YE in the congruent polygons EMILY and JACOB, note that congruent figures have sides of the same length that correspond to each other, maintaining the order of vertices.
In polygon EMILY, YE connects the last and second-to-last vertices.
Following the same order in polygon JACOB, the corresponding side will connect the second-to-last and last vertices in the name JACOB.
Therefore, the corresponding side would be OB, which would be congruent to YE.