Question

A student made the table shown below to prove that MN is equal to NT.



Statements Justifications
1.RN = PN
Given
2.m∡PNM = m∡RNT
Given
3.m∡MRN = m∡TPN
Given
4.m∡PNT = m∡PNM + m∡MNT
Angle Addition Postulate
5.m∡RNM = m∡RNT + m∡MNT
Angle Addition Postulate
6.

7.m∡PNT = m∡RNM
Transitive Property
8.triangleRNM ≅ trianglePNT
ASA postulate
9.MN = TN

CPCTC


A. Provide the missing statement and justification in the proof.

B. Using complete sentences, explain why the proof would not work without the missing step.