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Concept of Line

definition

Line: A line is a geometric figure that consists of an infinite number of points lined up straight that extend in both directions forever.

Collinear points: If three or more points lie on the same line, they are called collinear points.

Non-collinear points: If three or more points don't lie on the same line, they are called Non-collinear points.

notes

Line:

  • A line is a geometric figure that consists of an infinite number of points lined up straight that extend in both directions forever.

  • A line has no endpoints on either side.

  • A line is one-dimensional. That is, a line has length, but no width or height.

  • A line is uniquely determined by two points.

                           

  • The line passing through the points A and B is denoted by `
    \[\overleftrightarrow{AB}\].
  • Sometimes small letters l, m, n, etc. will be used to denote lines.

  • One and only one line can be drawn through any two distinct points.

  • If three or more points lie on the same line, they are called collinear points.

    Points not on the same line are the non-collinear points.

                                       

  • An infinite number of lines can be drawn through one point.

  • When two or more lines pass through the same point, they are called concurrent lines, and the common point through which they pass is called their point of concurrence.

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