Question

in the triangular prism shown below, which lines are intersecting? ij and gh ik and fh ij and jk hk and fi

Explanation:

Step1: Understand intersecting lines

Intersecting lines are lines that meet at a point.

Step2: Analyze each option

• For \(\overleftrightarrow{IJ}\) and \(\overleftrightarrow{GH}\): These lines are skew (not in the same plane and do not intersect).
• For \(\overleftrightarrow{IK}\) and \(\overleftrightarrow{FH}\): These lines are skew (not in the same plane and do not intersect).
• For \(\overleftrightarrow{IJ}\) and \(\overleftrightarrow{JK}\): These lines meet at point \(J\), so they are intersecting.
• For \(\overleftrightarrow{HK}\) and \(\overleftrightarrow{FI}\): These lines are skew (not in the same plane and do not intersect).

Answer:

\(\overleftrightarrow{IJ}\) and \(\overleftrightarrow{JK}\)