Question

in the triangular prism shown below, which lines are intersecting?

Explanation:

Step1: Recall the definition of intersecting lines

Intersecting lines are lines that meet at a point.

Step2: Analyze each pair

• For \(\overleftrightarrow{JL}\) and \(\overleftrightarrow{LO}\):
• In the triangular prism, \(\overleftrightarrow{JL}\) and \(\overleftrightarrow{LO}\) meet at point \(L\).
• For \(\overleftrightarrow{JM}\) and \(\overleftrightarrow{KL}\):
• These lines do not meet. \(\overleftrightarrow{JM}\) is in one face and \(\overleftrightarrow{KL}\) is in another non - adjacent face.
• For \(\overleftrightarrow{KN}\) and \(\overleftrightarrow{LO}\):
• These lines do not meet. They are in different non - adjacent faces.
• For \(\overleftrightarrow{JK}\) and \(\overleftrightarrow{MN}\):
• These lines do not meet. They are parallel (since in a triangular prism, the corresponding sides of the triangular bases are parallel).

Answer:

\(\overleftrightarrow{JL}\) and \(\overleftrightarrow{LO}\)