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What is the shortest distance between a point and a line?
The length of a line segment that starts at the point and is perpendicular to the original line.
How are a line segment and a ray different?
A line segment is a line between two points, while rays only has one end point and goes infinitely from that point in a direction.
Does the midpoint of a given line segment must lieon the given line segment?
Yes, the midpoint of a given line segment must lie on the line segment itself. The midpoint is defined as the point that divides the segment into two equal parts, which means it is located directly between the endpoints of the segment. Therefore, by definition, the midpoint is always a point on the line segment.
What is the definition of a line segment?
A line segment is a part of a line that is bounded by two end points, and contains every point on the line between its end points.
A line is the locus of points which what?
A line is the locus of points such that the gradient (slope) between that point and one fixed point in the plane is a constant. Technically, that definition does not include a vertical line because its gradient is not defined! You could get around that this by requiring that either the gradient is a constant or, if it is undefined, then the inverse gradient (dx/dy) is constant.
What do you call a line that is slanted with a point at each end?
A line segment with a finite, non-zero gradient.
What point halfway between two endpoints of a line segment is a?
It is known as the midpoint of the line segment
What is the length of the line segment BB'?
The length of the line segment BB' is equal to the distance between point B and point B'.
Is a segment a point?
a line segment is not a point but a series of points between two definite end points
What is the shortest distance between a point and a line?
The length of a line segment that starts at the point and is perpendicular to the original line.
How many possibilities are there in point-segment relations?
Probably three:The point is not on the segment nor the corresponding line,The point is in the line segment,The point is not in the line segment as given but would be if the segment were extended.
How are a line segment and a ray different?
A line segment is a line between two points, while rays only has one end point and goes infinitely from that point in a direction.
Does a line segment have two midpoints?
No. The midpoint of a line segment is the single point exactly halfway between each endpoint.
Does the midpoint of a given line segment must lieon the given line segment?
Yes, the midpoint of a given line segment must lie on the line segment itself. The midpoint is defined as the point that divides the segment into two equal parts, which means it is located directly between the endpoints of the segment. Therefore, by definition, the midpoint is always a point on the line segment.
What is the definition of a line segment?
A line segment is a part of a line that is bounded by two end points, and contains every point on the line between its end points.
A line is the locus of points which what?
A line is the locus of points such that the gradient (slope) between that point and one fixed point in the plane is a constant. Technically, that definition does not include a vertical line because its gradient is not defined! You could get around that this by requiring that either the gradient is a constant or, if it is undefined, then the inverse gradient (dx/dy) is constant.
The midpoint of a line segment is the point halfway between its endpoint?
Yes
