Question 8
Are line segments and likely to meet if they are extended?
- Parallel lines are straight lines that lie in the same plane and remain at a constant perpendicular distance from each other at all points.
- Because their distance never changes, parallel lines never intersect or cross, no matter how far they are extended in either direction.
- To determine if line segments and will meet, we examine whether they are parallel.
Step 1 · Analyze the Line Segments
From the given figure, line segments and run in the same direction and maintain a constant distance between them, which indicates they are parallel lines.
By definition, parallel lines never meet or intersect, no matter how far they are extended indefinitely in either direction.
Therefore, line segments and will not meet.
No, line segments and are not likely to meet if they are extended.
- Assuming Non-Intersecting Means Parallel in Any Orientation: Lines only avoid intersecting if they are strictly parallel (maintaining constant distance). If lines are slightly tilted toward each other, extending them will eventually cause them to cross.
- Terminating Line Segments: Forgetting that line segments can be extended infinitely as lines, and judging intersection only based on their current drawn lengths.
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