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 defined as lines that never intersect. If a third - line intersects two lines at right angles, they are parallel (perpendicular - transversal relationship). Option B is incorrect as parallel lines do not touch. Option C is incorrect as just being close together does not make lines parallel.

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.