#### Answer

We would use method AAS to prove triangles congruent.

#### Work Step by Step

Here we find that
1) $\angle N\cong\angle S$
2) $\angle M\cong\angle Q$
3) $\overline{MP}\cong\overline{QR}$
There are 2 pairs of congruent angles and a pair of congruent sides but the congruent sides are not included by the congruent angles.
Therefore, we would use method AAS to prove triangles congruent.