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Point.
No, two straight lines can intersect at only one point and that is their point of intersection.
A point of concurrency is a place where three or more, but at least three lines, rays, segments or planes intersect in one spot. If they do, then those lines are considered concurrent, or the the rays are considered concurrent.
No, they intersect at a line.
Perpendicular rays are two rays that intersect one another to form four right angles. Below is an image that shows two perpendicular rays.