Perpendicular lines will only share one point: the point of intersection, where the two lines meet.
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There are 20 common points.
If the two lines are actually "on top of each other", they can have infinitely many points in common. If they are parallel, they have no points in common. If they are perpendicular, they have one point in common.
Octagons have no perpendicular lines.
An octahedron has 7 perpendicular lines.
There are four perpendicular lines in a rectangle