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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

Verified Answer :

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

Answer:

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

Step-by-step explanation:

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

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