Question

complete this sentence with the best of the choices given.
$overleftrightarrow{ef} parallel overleftrightarrow{gh}$ means that ______.
a. lines ef and gh are parallel
b. lines ef and gh are congruent
c. lines ef and gh are perpendicular
d. lines ef and gh are adjacent
e. lines ef and gh intersect

Explanation:

In geometry, the symbol $\parallel$ is the standard notation to indicate that two lines (or line segments) are parallel, meaning they never intersect and are always the same distance apart. Option B is incorrect because congruence refers to having the same size and shape (often for segments or figures, not the parallel relationship of lines). Option C is incorrect as perpendicular lines are denoted by $\perp$ and form right angles. Option D is incorrect because adjacent typically refers to being next to each other (sharing a common side or vertex, not a parallel relationship). Option E is incorrect because parallel lines do not intersect. So the correct interpretation of $\overleftrightarrow{EF} \parallel \overleftrightarrow{GH}$ is that lines EF and GH are parallel.

Answer:

A. lines EF and GH are parallel