The distance is 0.
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Twice the distance between a point and halfway to the other point.
The length of a line segment that starts at the point and is perpendicular to the original line.
It the point is on the line the distance is 0. If the point is not on the line, then it is possible to draw a unique line from the point to the line which is perpendicular to the line. The distance from the point to the line is the distance along this perpendicular to the line.
false
It is a line through the point of symmetry. In general it is not an axis of symmetry.