We believe the answer is midpoint. My son and I were just researching this for a homework assignment. It seems like a simple answer but it is logical.
Yes, it is Midpoint.
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The mid-point
The distance will be length of the line divided by 2 because the perpendicular bisector cuts through the line at its centre and at right angles
A line segment has two endpoints. Lines are infinite, so they have no endpoints; while rays start at one point and continue infinitely; and line segments are completely finite, so they have endpoints at both ends.
In geometry, a line has no endpoints. If it has one endpoint and continues infinitely, it is a ray. If it has two endpoints, it is a line segment. If it has one end that approaches but never reaches a point, it is a half 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.