Question

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

Answer 1

If segment LN is congruent to segment NP and ∠1 ≅ ∠2, prove that ∠NLO ≅ ∠NPM.

Overlapping triangles LNO and PNM. The triangles intersect at point Q on segment LO of triangle LNO and segment MP of triangle PNM.

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. ΔLNO ≅ ΔPNM Angle-Angle-Side Postulate
5. ∠LNO ≅ ∠NPM Corresponding Parts of Congruent Triangles Are Congruent

Answer 2

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.

Answer 3

please help

Answer 4

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