SOLUTION: Write the missing statement and reasons to complete the proof. Given: 𝑁𝑂 ∥ 𝑀𝑃, ∠𝑁 ≅ ∠𝑃 Prove: 𝑀𝑁 ∥ 𝑂𝑃 ( square with N on top left an

Question 1192638: Write the missing statement and reasons to complete the proof.
Given: 𝑁𝑂 ∥ 𝑀𝑃, ∠𝑁 ≅ ∠𝑃
Prove: 𝑀𝑁 ∥ 𝑂𝑃
( square with N on top left and O on top right, then M on bottom left and P on bottom right ) With a dash line going from M to O
Answer by mananth(16949) (Show Source): You can put this solution on YOUR website!

In triangle MNO and MPO
angle N = angle P (given)
Angle NOM = angle PMO ( alternate angles )
MO is common to both triangles
Therefore triangle POM congruent to triangle NMO
So angle POM is congruent to angle NMO .
But they are alternate angles between lines MN and OP
SO MN ||OP

Proved

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