Question

which statement about the image below is true?
○ $overleftrightarrow{hk}paralleloverleftrightarrow{lj}$
○ $overleftrightarrow{gi}paralleloverleftrightarrow{hk}$
○ $overleftrightarrow{gi}perpoverleftrightarrow{lj}$
○ $overleftrightarrow{gi}paralleloverleftrightarrow{lj}$

Explanation:

Step1: Identify parallel and perpendicular lines

Parallel lines never intersect and perpendicular lines intersect at right - angles. In the given figure, we can see that $\overleftrightarrow{GI}$ and $\overleftrightarrow{HK}$ intersect at right - angles, so they are perpendicular. $\overleftrightarrow{HK}$ and $\overleftrightarrow{LJ}$ intersect at right - angles. $\overleftrightarrow{GI}$ and $\overleftrightarrow{LJ}$ are parallel as they do not intersect.

Answer:

$\overleftrightarrow{GI}\parallel\overleftrightarrow{LJ}$