Yes, perpendicular lines do intersect at a single point. Think of the line representing the x-axis, and the line representing the y-axis. These two lines are perpendicular, and they intersect at the Origin (a single point).
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Perpendicular lines intersect at 90 degrees.
Perpendicular lines intersect at right angles to each other.
Perpendicular lines intersect to form right angles.
If two lines intersect at right angles then they are perpendicular!
the parallel lines never intersect each other but they both intersect the line they are perpendicular to