Question

select the most precise and correct statement about parallel lines from among those that are given. lines (l) and (m) are distinct lines that lie in the same plane. choose 1 answer: a line (l) is parallel to line (m) if a third line (p) can be constructed such that it intersects (l) and (m) both at right - angles. b lines (l) and (m) are parallel if they are drawn such that they dont touch each other. c lines (l) and (m) are parallel if and only if they are close together but dont intersect.

Explanation:

Parallel lines in the same - plane are lines that never intersect. A key property is that if a transversal (a third line) intersects two lines at right - angles, then those two lines are parallel. Option B is not precise enough as non - touching lines in 3D space may not be parallel. Option C is incorrect as distance between lines is not a defining characteristic of parallel lines.

Answer:

A. Line $l$ is parallel to line $m$ if a third line $p$ can be constructed such that it intersects $l$ and $m$ both at right angles.