A Line Segment A line segment is a straight path that connects two points in a plane. It is a subset of the plane that contains all the points between the t...
A Line Segment
A line segment is a straight path that connects two points in a plane. It is a subset of the plane that contains all the points between the two end points.
Properties of a Line Segment:
A line segment is non-empty, meaning it contains at least two points.
A line segment is directed, meaning it has a specific order of points.
A line segment has a length, which is a non-negative real number.
The length of a line segment is the distance between its end points.
Examples:
The line segment from point A(2, 3) to point B(4, 7) is defined by the equations x = 2 + t and y = 3 + t, where t is a real number.
The line segment connecting points C(0, 4) and D(6, 10) is defined by the equations x = t and y = 2t, where t is a real number.
The line segment passing through points E(3, 6) and F(5, 2) is defined by the equations x = 3 + t and y = 6 - t, where t is a real number