Question

in the square pyramid shown below, which lines are parallel? select all that apply. submit work it out not feeling ready yet? these can help:

Explanation:

Step1: Recall the definition of parallel lines

Parallel lines are lines in a plane that do not intersect. In a square - based pyramid, the base is a square.

Step2: Analyze each pair

• For \(\overleftrightarrow{LM}\) and \(\overleftrightarrow{NO}\): Since the base of the square pyramid is a square (assuming \(LMNO\) is part of the base - like structure in terms of parallelism), in a square, opposite sides are parallel.
• For \(\overleftrightarrow{LO}\) and \(\overleftrightarrow{MN}\): In a square (assuming the relevant base - like structure), opposite sides are parallel.
• For \(\overleftrightarrow{KN}\) and \(\overleftrightarrow{MN}\): These two lines intersect at point \(N\), so they are not parallel.
• For \(\overleftrightarrow{KO}\) and \(\overleftrightarrow{LO}\): These two lines intersect at point \(O\), so they are not parallel.

Answer:

\(\overleftrightarrow{LM}\) and \(\overleftrightarrow{NO}\), \(\overleftrightarrow{LO}\) and \(\overleftrightarrow{MN}\)