Question

If segment LN is congruent to segment NP and ∠1 ≅ ∠2, prove that ∠NLO ≅ ∠NPM:
Hector wrote the following proof for his geometry homework for the given problem.






Statements

Reasons

1. segment LN is congruent to segment NP Given
2. ∠1 ≅ ∠2 Given
3. ∠N ≅ ∠N Reflexive Property
4. ΔLMO ≅ ΔPOM Angle-Angle-Side Postulate
5. ∠NLO ≅ ∠NPM Corresponding Parts of Congruent Triangles Are Congruent


Where is Hector's mistake, and how must he correct it?

Answer 1

Statement 1, because the information in the proof is not given in the problem Statement 3, because the angle addressed is irrelevant to the proof
Statement 4, because the triangles are inaccurately labeled
Statement 5, because those angles are not corresponding parts