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15 March, 05:26

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

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Answers (2)
  1. 15 March, 06:17
    0
    The answer is - corresponding parts of congruent triangles are congruent
  2. 15 March, 06:23
    0
    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
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