If segment LN is congruent to segment NP and ∠1 ≅ ∠2, prove that ∠NLO ≅ ∠NPM:


Overlapping triangles LNO and PNM. The triangles intersect at point Q on segment LO of triangle LNO and segment MP of triangle PNM.


Hector wrote the following proof for his geometry homework for the given problem:



Statements Reasons

segment LN is congruent to segment NP Given

∠1 ≅ ∠2 Given

∠N ≅ ∠N Reflexive Property

ΔLNO ≅ ΔPNM Angle-Angle-Side Postulate

∠NLO ≅ ∠NPM



Which of the following completes Hector's proof?

Angle Addition Postulate

Converse of Corresponding Angles Postulate

Corresponding Parts of Congruent Triangles Are Congruent

Triangle Proportionality Theorem