Answer
To prove triangles congruent, use method SSS for the following pairs:
1) $\overline{MN}\cong\overline{MQ}$
2) $\overline{PN}\cong\overline{PQ}$
3) $\overline{MP}\cong\overline{MP}$
Work Step by Step
Here we have
1) $\overline{MN}\cong\overline{MQ}$
2) $\overline{PN}\cong\overline{PQ}$
3) $\overline{MP}\cong\overline{MP}$
So 3 sides of $\triangle MNP$ are congruent with 3 sides of $\triangle MQP$.
That means $\triangle MNP\cong\triangle MQP$ according to SSS.
