Question

in the rectangular prism shown below, which lines are intersecting? select all that apply. lp and mp, jk and ko, il and im, ko and lp

Explanation:

Step1: Recall definition of intersecting lines

Intersecting lines meet at a point.

Step2: Analyze \(\overleftrightarrow{LP}\) and \(\overleftrightarrow{MP}\)

They meet at point \(P\), so they are intersecting.

Step3: Analyze \(\overleftrightarrow{JK}\) and \(\overleftrightarrow{KO}\)

They meet at point \(K\), so they are intersecting.

Step4: Analyze \(\overleftrightarrow{IL}\) and \(\overleftrightarrow{IM}\)

They meet at point \(I\), so they are intersecting.

Step5: Analyze \(\overleftrightarrow{KO}\) and \(\overleftrightarrow{LP}\)

They do not meet, so they are not intersecting.

Answer:

\(\overleftrightarrow{LP}\) and \(\overleftrightarrow{MP}\), \(\overleftrightarrow{JK}\) and \(\overleftrightarrow{KO}\), \(\overleftrightarrow{IL}\) and \(\overleftrightarrow{IM}\)