Question 10
Which pairs of lines appear to be parallel in Fig. 5.6 below?
- Parallel Lines: Two or more lines in the same plane that never meet or intersect, no matter how far they are extended in either direction.
- To determine which lines are parallel, identify lines that maintain a constant distance apart and run in the exact same orientation/direction.
Step 1 · Identify Parallel Lines in Fig. 5.6
By observing the directions and distances between the lines in Fig. 5.6:
- Lines , , and run in the same direction and maintain equal distance from each other, so .
- Lines and run in the same direction and maintain equal distance, so .
- Lines and run in the same direction and maintain equal distance, so .
- Lines and run in the same direction and maintain equal distance, so .
The sets of parallel lines are:
- Lines , , and
- Lines and
- Lines and
- Lines and
- Assuming Non-Intersecting in View Means Parallel: Thinking two lines are parallel just because they do not intersect inside the given box, even if they slant toward each other and would cross when extended.
- Grouping Non-Parallel Slants: Grouping lines that have slightly different angles of inclination instead of strictly checking for equal orientation.
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