Question

in the square pyramid shown below, which lines are parallel? k l n m kl and mn kl and kn jl and kl jl and jm

Explanation:

Step1: Recall parallel - line definition

Parallel lines are lines in the same plane that never intersect. In a square - pyramid, the base is a square.

Step2: Analyze line - pair options

In a square pyramid with a square base \(KLMN\), the opposite sides of the square base are parallel. \(\overleftrightarrow{KL}\) and \(\overleftrightarrow{MN}\) are opposite sides of the square base \(KLMN\), so they are parallel. The other line - pairs (\(\overleftrightarrow{KL}\) and \(\overleftrightarrow{KN}\), \(\overleftrightarrow{JL}\) and \(\overleftrightarrow{KL}\), \(\overleftrightarrow{JL}\) and \(\overleftrightarrow{JM}\)) are either adjacent sides of the base or lines that meet at the apex \(J\) and thus are not parallel.

Answer:

\(\overleftrightarrow{KL}\) and \(\overleftrightarrow{MN}\)