they intersect 1 point at a 90 degree angle at all sides
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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).
No, just one point.
Perpendicular lines intersect and form a right angle. The lines on a square are perpendicular to each line that it touches.
The point of intersection is the one point that is common to both lines.
Two lines can intersect at none, one or infinitely many points.