Question 7
Are line segments and likely to meet if they are extended?
- Parallel lines remain at a constant distance from each other and never meet, no matter how far they are extended.
- Intersecting lines are lines that are not parallel; they will eventually cross each other at a single point when extended.
- To determine if line segments and will meet, we observe whether they are parallel or inclined toward each other.
Step 1 · Properties of Parallel and Intersecting Lines
Parallel lines always maintain a constant distance apart and never meet. Non-parallel lines in the same plane will always intersect when extended.
Step 2 · Examine Line Segments ST and UV
Observing the line segments and :
- The distance between the segments is not constant.
- The two segments are not parallel and are angled toward each other.
Therefore, if line segments and are extended, they will meet at a point.
Yes, line segments and are likely to meet because they are not parallel.
- Assuming Segments are Parallel: Thinking line segments will not meet just because they do not intersect within the visible drawn boundary. Always look at whether they converge when extended.
- Misjudging Constant Distance: Forgetting that parallel lines must have a strictly uniform perpendicular distance everywhere along their length.
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