Answer
According to the triangle midsegment theorem, we can conclude that $\overline{PL} \parallel \overline{NO}$ only if $\overline{PL}$ joins the midpoint of both sides, meaning $\overline{NT}$ and $\overline{OT}$. In this diagram, $\overline{PL}$ only joins the midpoint on $\overline{NT}$, but not on $\overline{OT}$. Therefore, we cannot conclude that the two lines are parallel to one another.
Work Step by Step
According to the triangle midsegment theorem, we can conclude that $\overline{PL} \parallel \overline{NO}$ only if $\overline{PL}$ joins the midpoint of both sides, meaning $\overline{NT}$ and $\overline{OT}$. In this diagram, $\overline{PL}$ only joins the midpoint on $\overline{NT}$, but not on $\overline{OT}$. Therefore, we cannot conclude that the two lines are parallel to one another.
