No. You would need to know that $\overline{LK\ }\ \perp\ \overline{MK}$ .

No. You would need to know that $\overline{KP}\ \perp\ \overline{LM}$ .

Yes. $\overline{LN}$ ≅ $\overline{MN}$ and $\overrightarrow{NK}$ $\perp$ $\overline{LM}$ , so $\overrightarrow{NK}$ is the perpendicular bisector of $\overline{LM}$ and P is on $\overrightarrow{NK}$ .

Yes. $\overrightarrow{NK}$ ⊥ $\overline{LM}$ , so $\overrightarrow{NK}$ is the perpendicular bisector of $\overline{LM}$ and P is on $\overrightarrow{NK}$

No. You would need to know that m∠MNP = 90º.

No. You would need to know that either  $\overline{LN}\ \cong\ \overline{MN}$  or  $\overline{LP}\ \cong\ \overline{MP}$  

Yes.  $\overline{LN}\ \cong\ \overline{NP}$  and  $\overrightarrow{NP}\ \perp\ \overline{LM}$  so  $\overline{NP}$  is the perpendicular bisector of  $\overline{LM}$  .

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