## Elementary Geometry for College Students (6th Edition)

By AAS, $\triangle MNP \cong \triangle QRP$
Angle: $\angle MNP \cong \angle RQP$ (This is given in the question.) Angle: $\angle MPN \cong \angle RPQ$, since they are opposite angles Side: $\overline{MP} \cong \overline{RP}$, since P is the midpoint of $\overline{MR}$ Therefore, by AAS, $\triangle MNP \cong \triangle QRP$