Question

1. in the picture below, which line segment is skew to bc

b c
a d
e f
h g
ef
gf
ad
dc

Explanation:

Step1: Recall skew - lines definition

Skew lines are non - parallel and non - intersecting lines in 3 - D space.

Step2: Analyze each option

• $\overline{EF}$: $\overline{EF}$ is parallel to $\overline{BC}$, so it is not skew.
• $\overline{GF}$: $\overline{BC}$ and $\overline{GF}$ are non - parallel and non - intersecting. They are in different non - parallel planes.
• $\overline{AD}$: $\overline{AD}$ is parallel to $\overline{BC}$, so it is not skew.
• $\overline{DC}$: $\overline{DC}$ intersects $\overline{BC}$ at point $C$, so it is not skew.

Answer:

B. $\overline{GF}$