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

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

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.	ΔLNO ≅ ΔPNM	Angle-Angle-Side Postulate
5.	∠LNO ≅ ∠NPM	Corresponding Parts of Congruent Triangles Are Congruent


Where is Hector's mistake, and how must he correct it?

anonymous · Answer

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

anonymous · Answer

attachment

anonymous · Answer

#5  is wrong    angle  LNO not = angle NPM
                      as            LNO=PNM  common angle