Use precise definitions of angle, circle, perpendicular line, parallel line, and line segment from point/line/distance ideas.
Identify parallel lines from a definition
Problem
Does this description represent parallel lines: \(\text{two}\) coplanar lines that never intersect?
Big Picture
What this problem is really about
In three-dimensional geometry, never meeting is not quite enough to classify two lines. We’ll check distinctness, coplanarity, and nonintersection as a package; the plane condition is what separates the intended relationship from skew lines that also never meet.
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