1) Since we're dealing with a quadrilateral and R is the midpoint of the line segment PM, then we can write since line PM bisects angle QMN and QPN
2) So RP ≅ RN and RQ ≅ RN. And finally, when it comes to similarity, we're going to have
2 triangles
Side PN ≅ MQ
Angle ∡ QMN ≅ ∡NPR
Side RM ≅ RP
3) So the answer is SAS
