Question

in the triangular prism shown below, which lines are intersecting? select all that apply.
image of a triangular prism with vertices h, g, i, j, l and a point k; below the image are four multiple - choice options with checkmarks: \\(\overleftrightarrow{gj}\\) and \\(\overleftrightarrow{kl}\\), \\(\overleftrightarrow{jl}\\) and \\(\overleftrightarrow{gh}\\), \\(\overleftrightarrow{gi}\\) and \\(\overleftrightarrow{kl}\\), \\(\overleftrightarrow{gi}\\) and \\(\overleftrightarrow{gh}\\)

Explanation:

Step1: Define intersecting lines

Intersecting lines share exactly one common point.

Step2: Analyze each pair

• $\overline{GJ}$ and $\overline{KL}$: Parallel (no common point).
• $\overline{JL}$ and $\overline{GH}$: Skew (no common point).
• $\overline{GI}$ and $\overline{KL}$: Skew (no common point).
• $\overline{GI}$ and $\overline{GH}$: Meet at point G (common point).

Answer:

D. $\overline{GI}$ and $\overline{GH}$