Fundamental Concepts

3. The Line Segment · Connecting two points with the shortest path

A line segment connects two distinct points with a straight path.

AB = 400AB = 400AB
A line segment is a piece of a line bounded by two endpoints. Unlike a line, it has a measurable length. Drag A or B — AB always stays the straight path between the two endpoints, with the length you see updating live.

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For subscribers · Selina ICSE: Fundamental Concepts

What this lesson covers

Try to break it

What happens if you drag A right on top of B? Does a line segment still exist?

How you build it

Draw a line segment AB.

  • Click the Point tool and place endpoint A.
  • Place endpoint B somewhere else.
  • Click the Segment tool, then click A and B. The piece between A and B is the line segment AB — it has a fixed length.

The proof, step by step

Prove that the figure is a line segment with two fixed endpoints.

  • A line segment has exactly two endpoints.
  • It has a fixed length that can be measured.
  • It is the shortest distance between its two endpoints.

Worked example

A line segment is defined by how many distinct endpoints?

By definition, a line segment is a part of a line bounded by two distinct end points.

  • One
  • Two — correct
  • Three
  • Infinite

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