How many points are shared by two perpendicular lines?
How many points are shared by two parallel lines?
Answer (3)
Two perpendicular lines intersect once, to form a right angle. Therefore, on point is shared by two perpendicular lines. since parallel lines never touch, there are NO points shared between the two lines.
Two perpendicular lines intersect at a single point, meaning they share exactly one point.
According to the relevant theorems, this intersection implies that if a line is perpendicular to two intersecting lines at their intersection, it is also perpendicular to all lines of their plane passing through this point.
Conversely, two parallel lines do not intersect at any point in a Euclidean plane; therefore, they share no points.
Two parallel lines will always remain the same distance apart and will never meet, no matter how far they are extended.
This is derived from the fact that two lines perpendicular to the same line in the same plane cannot be parallel to each other.
Perpendicular lines share exactly one point where they intersect, while parallel lines share no points at all. This is due to the nature of how these lines are defined in a plane. Understanding these concepts is essential in geometry.
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