Line segments are often indicated by a bar over the letters that constitute each point of the line segment, as shown above. It takes three or more-line segments forming edges to enclose a face of a polyhedron. A line segment consists of all points on the line between (and including) said endpoints. More generally than above, the concept of a line segment can be defined in an ordered geometry. However, an open line segment is an open set in V V if and only if V V is one-dimensional. If V V is a topological vector space, then a closed line segment is a closed set in V V. Line segments and polyhedronsĮdges formed by the intersection of two faces of a polyhedron are line segments. A line segment is connected, non-empty set. A polygon is an enclosed plane figure whose sides are line segments.Ī diagonal for a polygon is a line segment joining two non-consecutive vertices (not next to each other). While a line segment starts at one point and. On the other hand, Segment implies a piece of something, so does the line segment means a portion of a line, which has a distinct starting and end. The sides of a polygon are line segments. The line refers to a straight and long mark on a surface, represented by arrows at each end showing that it extends in the two directions, endlessly. While there can be many segments that bisect another segment, only one segment can be the perpendicular bisector. Line segments through midpoints.Ī segment is a bisector of another segment if it goes through the midpoint of the segment.Ī segment is called a perpendicular bisector of another segment if it goes through the midpoint and is perpendicular to the segment. In the figure above, point M is the midpoint of AB so, AM≅ MB. The midpoint of a line segment is a point that divides the segment into 2 congruent segments. You could say it is the baby steps of a complex world, which is geometry.
This is known as the segment addition postulate. A line is a fundamental concept in geometry. In the segment above, point C divides AB into AC and CB, AC + CB = AB.
Dividing a line segmentĪ point that lies in the interior of a line segment divides the segment into 2 segments. A line segment consists of all points on the line between (and including) said endpoints. Home / geometry / line / line segment Line segmentĪ line segment is a part of a line defined by two endpoints.