The problem asks us to determine whether each given statement describes parallel lines or perpendicular lines.
2025/4/22
1. Problem Description
The problem asks us to determine whether each given statement describes parallel lines or perpendicular lines.
2. Solution Steps
a) "They never meet."
Parallel lines, by definition, never intersect. Perpendicular lines intersect at a right angle. Therefore, this statement describes parallel lines.
b) "They are always the same distance apart."
This is another defining characteristic of parallel lines. The distance between parallel lines remains constant. Perpendicular lines intersect at a single point, so they are not always the same distance apart.
c) "They meet at a right angle."
Perpendicular lines are defined as lines that intersect at a right angle (90 degrees). Parallel lines never intersect.
3. Final Answer
a) Parallel lines
b) Parallel lines
c) Perpendicular lines