The congruent statements given are:
[tex]\begin{gathered} \overline{EF}\cong\overline{ON} \\ \angle MON\cong\angle GEF \end{gathered}[/tex]
It is required to state what statement will be needed to make sure the triangles are congruent by AAS.
Recall the Angle-Angle-Side (AAS) Theorem:
From the theorem, it follows that a non-included pair of sides will be required.
Hence, the required pair of sides to be compared are:
[tex]\overline{NM}\text{ and }\overline{FG}[/tex]
The third choice is the correct option.
