On a set of lines, (lRm) is defined when line (l) is parallel to line (m). For distinct lines in the same plane, why is this relation considered transitive?

Correct answer: Because if (l\parallel m) and (m\parallel n), then (l\parallel n)

Step 1: In the same plane, if two distinct lines are parallel to the same line, they are parallel to each other. Step 2: Thus (l\parallel m) and (m\parallel n) imply (l\parallel n). Step 3: In geometry-based relations, drawing a figure helps you understand common direction.