the perpendicular distance to the line is the shortest.

Yes.

Its perpendicular distance.

The length of a line segment that starts at the point and is perpendicular to the original line.

a straight line.

A line is the shortest distance between two points. I can't understand what this question asks, but it seems to be asking for that particular answer.

No it is measured from the edge

The shortest distance is displacement and total distance is length.

The shortest distance from the beginning point to the end point.The shortest distance from the beginning point to the end point.

A "Great circle". A straight line on a Mercator projection is a "rhumb line", and is not the shortest distance.

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.

The shortest path is a line perpendicular to the given line that passes through the given point.

The shortest distance between the two points is zero

The shortest distance between four points is a straight line to and from each individual point. If all four points are aligned, the result will be a single straight line through all four points.

A line.

At their point of crossing, the space between two crossnig line is 0. From any point on either line you can always drop a perpendicular to the other line and this will be the shortest distance from that point to the other line.

The distance postulate is such: the shortest distance between two points is a line.(xy, x-y) The distance postulate is such: the shortest distance between two points is a line.(xy, x-y)

In plane geometry, the shortest distance between two points is a line. In spherical geometry, the shortest distance between two points is a segment of a great circle. The distance between one point and another is known as the displacement.

the length of a perpendicular segment from the point to the line

The shortest distance from Seattle to the nearest point on the International Date Lineis 2,090 miles, to the point just west of Wales, Alaska, where the line separates Alaskafrom Siberia.

. . . is the segment perpendicular to the line.

If you translate (move without rotation) a copy of the line towards the curve, the first point where the line touches the curve (the tangent to the curve with the slope of the original line) will be the point on the curve closest to the line. Draw a connecting line from this tangent point to the original line, intersecting that original line at right angles. Measure the connecting segment. It is the shortest distance. Vector analysis will give a mathematically strict solution, I do not have the ability to explain this in sufficient detail.

A line that is perpendicular to the given line and passes through the given point.

a straight line

The shortest distance between 2 parallel lines is a perpendicular drawn between 2 parallel lines the diagram shows it clearly 1 parallel line ------------------------------------|-------------------------------------------------------------------- | | | the vertical line is the shortest distance | | ------------------------------------|------------------------------------------------------------------- 2nd parallel line

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