A triangle $$JLM$$ and line segment $$KN$$ are given. ![](http://admin.getprephub.com/media/editor/p10_20230225213720258108.png) A proof of $$\frac{J K}{J L}=\frac{J N}{J M}$$ is shown. ![](http://admin.getprephub.com/media/editor/p10s_20230225213729322604.png) Which statement must be added to the given to keep this proof valid?

From the figure, $$<J N K=<J M L$$ and $$<J K N=<J L M$$ is correct if $$\overline{K N} \| \overline{L M}$$ Therefore the correct option is $$\overline{K N} \| \overline{L M}$$

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A triangle $JLM$ and line segment $KN$ are given.

A proof of $\frac{J K}{J L}=\frac{J N}{J M}$ is shown.

Which statement must be added to the given to keep this proof valid?

Select all that apply :

$\overline{K N} || \overline{L M}$

$\overline{J L} || \overline{L M}$

$\overline{J L} \perp \overline{L M}$

$\overline{K N} \perp \overline{L M}$

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