## Elementary Geometry for College Students (5th Edition)

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
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.