Lines, line segments and half lines

Key notes:

Points and Lines

  • Point: A point is a specific location in space. It has no dimensions (length, width, or height).
  • Line: A line is an infinite collection of points that extends in both directions without end. It has one dimension (length).

Line Segments

  • Line Segment: A line segment is a part of a line that is bounded by two points. It has a definite length.
  • Endpoints: The two points that define a line segment are called its endpoints.

Half-Lines

  • Half-Line: A half-line is a part of a line that starts at a specific point and extends infinitely in one direction. It has one endpoint.

Properties and Relationships

  • Collinear Points: Points that lie on the same line are said to be collinear.
  • Intersecting Lines: Lines that share a common point are said to intersect.
  • Parallel Lines: Lines that do not intersect, even if extended infinitely, are said to be parallel.
  • Perpendicular Lines: Lines that intersect at a right angle (90 degrees) are said to be perpendicular.

Learn with an example

📢 What is this?

  • line
  • line segment
  • ray

Now look at this figure:

This is a ray. It has 1 endpoint.

📢 What is this?

  • line
  • line segment
  • ray

Now look at this figure:

This is a line. It never ends.

📢 What is this?

  • line
  • line segment
  • ray

Now look at this figure:

This is a line segment. It has 2 endpoints.

Let’s practice!🖊️