Question

in the cube shown below, which lines are intersecting? cg and dh cd and de hi and bc hi and bf

Explanation:

Step1: Recall intersecting - lines definition

Intersecting lines meet at a point.

Step2: Analyze each option

• For $\overrightarrow{CG}$ and $\overrightarrow{DH}$, they are skew - not intersecting.
• For $\overrightarrow{CD}$ and $\overrightarrow{DE}$, they share the common point $D$, so they intersect.
• For $\overrightarrow{HI}$ and $\overrightarrow{BC}$, they are skew - not intersecting.
• For $\overrightarrow{HI}$ and $\overrightarrow{BF}$, they are skew - not intersecting.

Answer:

$\overrightarrow{CD}$ and $\overrightarrow{DE}$