Question

Math help please

Answer 1

If segment LN is congruent to segment NP and ∠1 ≅ ∠2, prove that ∠NLO ≅ ∠NPM:
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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
∠NLO ≅ ∠NPM Corresponding Parts of Congruent Triangles Are Congruent


Which of the following completes Hector's proof?
Angle-Angle-Side Postulate
Angle-Side-Angle Postulate
Side-Angle-Side Postulate
Side-Side-Side Postulate

Answer 2

@triciaal I need help please

Answer 3

@KJSaif I need help please

Answer 4

We are given that two sides correspond and that two angles correspond as well. Hector sees that they share an angle and proves it with reflexive property so they share an angle which are congruent to each other. So we have two angles and a side in which we prove saying in the order `NLO is congruent to NPM` due to this we solve by Angle then Side, and then Angle so B.