Question

in the cube shown below, which lines are parallel? select all that apply. hi and lm mn and gh kl and lm gk and lm

Explanation:

Step1: Recall parallel - line property in a cube

In a cube, parallel lines are lines that lie in the same plane and do not intersect.

Step2: Analyze each option

• For two lines in a cube, if they are opposite edges of the same - face or opposite edges of parallel faces, they are parallel.
• Let's assume the cube has vertices labeled as in a standard way. If we consider the nature of a cube's edges:
• Opposite edges of a square - face of the cube are parallel. Also, edges that are in parallel planes and have the same direction are parallel.

Answer:

We need to analyze each pair of lines based on the above - mentioned properties of parallel lines in a cube. Without seeing the specific labels of the cube's vertices clearly in the image, we can't give a definite answer. But the general approach is to check if the lines are opposite edges of the same face or of parallel faces. If we assume the standard cube structure, for example, if two lines are opposite edges of a square face of the cube, they are parallel. If they are in parallel planes and have the same orientation, they are parallel.