Question

if $overleftrightarrow{ab}$ is parallel to $overleftrightarrow{cd}$, which statement must be true?
a. the perpendicular distance between $overleftrightarrow{ab}$ and $overleftrightarrow{cd}$ decreases as the lines are traversed right to left.
b. the perpendicular distance between $overleftrightarrow{ab}$ and $overleftrightarrow{cd}$ increases as the lines are traversed left to right.
c. $overleftrightarrow{ab}$ and $overleftrightarrow{cd}$ do not intersect.
d. $overleftrightarrow{ab}$ and $overleftrightarrow{cd}$ intersect at 90° angles.

Explanation:

Parallel lines never intersect. Perpendicular distance between parallel lines is constant. Lines intersecting at 90° are perpendicular, not parallel.

Answer:

C. $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$ do not intersect.