Answer
(a) $\overline{AB}$ and $\overline{DC}$ are parallel.
(b) $\overline{AB}$ and $\overline{FE}$ are skew line segments.
(c) $\overline{AB}$ and $\overline{FE}$ are perpendicular.
Work Step by Step
(a) $\overline{AB}$ and $\overline{DC}$ are on opposite sides of a rectangle. Therefore $\overline{AB}$ and $\overline{DC}$ are parallel.
(b) $\overline{AB}$ and $\overline{FE}$ are not parallel and they do not intersect. Therefore $\overline{AB}$ and $\overline{FE}$ are skew line segments.
(c) $\overline{AB}$ and $\overline{GF}$ are on opposite sides of a rectangle. Therefore $\overline{AB}$ and $\overline{GF}$ are parallel.
$\overline{GF}$ and $\overline{FE}$ meet at a right angle. Therefore, $\overline{GF}$ and $\overline{FE}$ are perpendicular.
Therefore, $\overline{AB}$ and $\overline{FE}$ are perpendicular.
