Question

Prove: NMP = LMPWhat theorems/definitions are needed to get the 3 pieces of information on each triangle?Then select the theorem that will prove the triangles are congruent.

Answer 1

Definition of angle bisector

Definition of segment bisector

ASA

Step-by-step 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