Mathematics

Gregory Caldwell

4 June, 21:41

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 MN is congruent to segment NO Given

2. ∠1 ≅ ∠2 Given

3. ∠N ≅ ∠N Reflexive Property

4. ΔLNO ≅ ΔPNM 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?

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