How many solutions do parallel lines have?
Understand the Problem
The question is asking about the number of intersection points between parallel lines. Since parallel lines never meet, they have no solutions in the context of intersection points.
Answer
zero
Answer for screen readers
The number of solutions is zero.
Steps to Solve
- Identify the nature of parallel lines
Parallel lines are lines in a plane that do not meet; they are always the same distance apart.
- Understanding that parallel lines do not intersect
Since parallel lines do not meet, they have no points of intersection.
- Concluding with the number of solutions
Therefore, the number of solutions (i.e., points of intersection) is zero.
The number of solutions is zero.
More Information
The concept of parallel lines having no points of intersection is fundamental in geometry. Parallel lines remain equidistant from each other at all points.
Tips
A common mistake is to forget that parallel lines by definition do not intersect. This can be avoided by remembering the defining properties of parallel lines.
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