Question

how do you see it? consider the lines that contain the segments in the figure and the planes that contain the faces of the figure. all angles are right angles. identify which lines have the following properties. a. parallel to $overleftrightarrow{no}$ b. intersect $overleftrightarrow{no}$ c. skew to $overleftrightarrow{no}$

Explanation:

Step1: Recall definitions

Parallel lines are in the same plane and never intersect. Intersecting lines meet at a point. Skew lines are non - parallel and non - intersecting and are not in the same plane.

Step2: Analyze parallel lines to $\overleftrightarrow{NO}$

In a cube, lines parallel to $\overleftrightarrow{NO}$ are $\overleftrightarrow{MP}$, $\overleftrightarrow{KL}$, $\overleftrightarrow{RS}$.

Step3: Analyze intersecting lines to $\overleftrightarrow{NO}$

Lines that intersect $\overleftrightarrow{NO}$ are $\overleftrightarrow{NK}$, $\overleftrightarrow{NQ}$, $\overleftrightarrow{OM}$, $\overleftrightarrow{OR}$.

Step4: Analyze skew lines to $\overleftrightarrow{NO}$

Skew lines to $\overleftrightarrow{NO}$ are $\overleftrightarrow{PS}$, $\overleftrightarrow{LM}$, $\overleftrightarrow{LR}$, $\overleftrightarrow{KS}$.

Answer:

a. $\overleftrightarrow{MP}$, $\overleftrightarrow{KL}$, $\overleftrightarrow{RS}$
b. $\overleftrightarrow{NK}$, $\overleftrightarrow{NQ}$, $\overleftrightarrow{OM}$, $\overleftrightarrow{OR}$
c. $\overleftrightarrow{PS}$, $\overleftrightarrow{LM}$, $\overleftrightarrow{LR}$, $\overleftrightarrow{KS}$