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
We are already given with the following statements and proofs: segment LN ≅ NP Given ∠1 ≅ ∠2 Given ∠N ≅ ∠N Reflexive Property ΔLNO ≅ ΔPNM Angle-Angle-Side Postulate
The last statement: ∠NLO ≅ ∠NPM is proved by: Corresponding Parts of Congruent Triangles Are Congruent
