Answer
Definition of angle bisector
Definition of segment bisector
ASA
Explanation
The theorems/definitions that will give us the 3 pieces of information we need to prove that ΔNMP = ΔLMP are:
Definition of angle bisector
From the triangle given, line PM bisects ∠LMN
Definition of segment bisector
Line MP bisects ∠LPN
ASA
∠MPN = ∠MPL = 90
line PM from ΔMPN = line PN from ΔMPL
∠NMP = ∠LMP
