Question

in the square pyramid shown below, which lines are skew? select all that apply.

Explanation:

Skew lines are non - parallel and non - intersecting lines in 3 - D space.

• For \(\overleftrightarrow{HK}\) and \(\overleftrightarrow{IJ}\): They are not in the same plane, not parallel, and do not intersect.
• For \(\overleftrightarrow{HK}\) and \(\overleftrightarrow{JL}\): They are not in the same plane, not parallel, and do not intersect.
• For \(\overleftrightarrow{IJ}\) and \(\overleftrightarrow{KL}\): They are not in the same plane, not parallel, and do not intersect.
• For \(\overleftrightarrow{JK}\) and \(\overleftrightarrow{JL}\): They intersect at point \(J\), so they are not skew.

Answer:

\(\overleftrightarrow{HK}\) and \(\overleftrightarrow{IJ}\), \(\overleftrightarrow{HK}\) and \(\overleftrightarrow{JL}\), \(\overleftrightarrow{IJ}\) and \(\overleftrightarrow{KL}\)