How many perpendicular lines can be drawn to a line from a point not on it?
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An infinite number of lines perpendicular to any given line Through a specific point on a line, though, there exists only one perpendicular line. Likewise, given a line and a point not on that line, there is only one perpendicular line through the noncolinear point.
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Only one perpendicular line can be drawn to a line from a point, not on it.
- A perpendicular line marks the shortest distance between the given two points.
- The angle between a given line and its perpendicular line is a right angle.
- Since there can be only one shortest distance between a line and a point not on the line, hence only one perpendicular can be drawn.
- However, a given line can have an infinite number of lines that are perpendicular to it.
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