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Line segment, ray, line

This page was translated from German with AI. It has not been checked by a native speaker. Original page in German

There are three kinds of straight lines. You learn their names, how to write them and how to draw a line through two points.
📄 Open worksheet (PDF, German)

The video

In the video you see a line segment, a ray and a line. Watch where the lines stop – and where they don't.

Subtitles are available in ten languages. Choose them at the bottom right of the video.

Contents of the video

  1. 0:00 Introduction
  2. 0:17 The line segment
  3. 0:49 The ray
  4. 1:15 The line
  5. 1:38 Drawing a line
  6. 2:07 Careful, mistake!
  7. 2:27 Try it yourself

The most important points

Line segment, ray, line

A line segment (die Strecke) has a starting point and an end point: \(\overline{AB}\). It has a length. A ray (der Strahl) has a starting point but no end point: \(\overrightarrow{AB}\). A line (die Gerade) has no starting point and no end point. Lines are often called \(g\), \(h\).

The segment \overline{AB} stops at A and at B.
The segment \(\overline{AB}\) stops at \(A\) and at \(B\).
The ray starts at A and goes on and on.
The ray starts at \(A\) and goes on and on.

Drawing a line through \(A\) and \(B\): put the drawing edge (die Zeichenkante) exactly on \(A\) and \(B\). Draw past the points, as far as you can.

The line g goes through A and B.
The line \(g\) goes through \(A\) and \(B\).

Careful: only a line segment has a length. “The line is 6 cm long” is wrong.

The worksheet

Here you can see the worksheet for the video (in German). First it explains everything again, then there are practice tasks at three levels. You can also open it as a PDF and print it.

📄 Open worksheet (PDF, German)

The worksheet – Page 1
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The worksheet – Page 2
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The worksheet – Page 3
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The worksheet – Page 4
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The worksheet – Page 5
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Show the worksheet solutions
The worksheet – Page 6
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Try it yourself

Task

Segment, ray or line? a) starting point and end point b) no starting point and no end point c) only a starting point

Show solution

a) line segment b) line c) ray

Keep learning with a language model

You are my maths teacher. I am learning German as a second language. Our topic: Strecke, Strahl and Gerade (starting point, end point, notation, length). Ask me five short questions, one after the other. Always wait for my answer. Then tell me if it is right and explain briefly why. Use simple German sentences.

How this was made: The idea, structure and examples of the series are mine. I made them with the help of AI: a language model (LLM) built the slides of the video following my instructions. The voice was generated with Qwen3-TTS, modelled on my own voice.

The subtitles, the translations, the worksheet and this page were also made with the help of AI. The translations have not been checked by native speakers.

The videos, worksheets, texts and prompts in this series are licensed under CC BY 4.0: you may use, change and share them if you name the source.