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What does one-point perspective look like?

Railway tracks are parallel, but they seem to converge in the distance.
© Johan Hazenbroek, licensed to About.com, Inc.
In perspective drawing, every set of parallel lines has its own vanishing point. Don't panic. We can keep it simple. To draw one-point perspective, we arrange our subject so that one set of lines has a vanishing point right in front of us, and the set at right-angles goes out to infinity on each side - parallel, either straight up or straight across. See the railway sleepers, how they stay parallel, straight across in front of us? And the fenceposts stay perpendicular (straight up-and-down). The railway lines and fence wire move away from us, to the one vanishing point in the distance.