#### Answer

1. P is the midpoint of both $\overline{MR}$ and $\overline{NQ}$ 1. Given
2. $\overline{MP}$≅$\overline{PR}$ 2. Definition of Midpoint.
3. $\overline{QP}$≅$\overline{PN}$ 3. Definition of Midpoint
4. $\angle$QPR ≅ $\angle$MPN 4. Definition of Vertical Angles
5.△MNP≅△RQP 5. SAS

#### Work Step by Step

1. Write down what was given to you in the problem and for the proof, write given.
2. and 3. You know point P is the mid point for both line segments $\overline{MR}$ and $\overline{QN}$ so you can say that $\overline{QP}$≅$\overline{NP}$ and so forth.
4. Because the angles are adjacent.
5 Write your angles are congruent and give the order in which you list either sides or angles are congruent.