Question

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

Answer 1

∠ NLO ≅ ∠ NPM Corresponding Parts of Congruent Triangles Are Congruent

Explanation:

It's on my chart on the test this is 100% right

Answer 2

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