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Drawing rectangles and squares

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

You learn the properties of the rectangle and the square and draw both exactly with the set square.
📄 Open worksheet (PDF, German)

The video

In the video the set square draws a rectangle step by step. The zero line and the zero point light up in pink.

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 rectangle
  3. 0:57 The square
  4. 1:22 Drawing a rectangle
  5. 2:31 Drawing a square
  6. 2:53 Careful, mistake!
  7. 3:24 Try it yourself

The most important points

The rectangle

The corners are called \(A\), \(B\), \(C\), \(D\) – anticlockwise. Opposite sides (gegenüberliegende Seiten) are the same length and parallel. Adjacent sides (benachbarte Seiten) are perpendicular: four right angles (rechte Winkel).

Rectangle with a = 6 cm and b = 4 cm: four right angles.
Rectangle with \(a = 6\) cm and \(b = 4\) cm: four right angles.

The square

In a square (das Quadrat) all four sides are the same length. It also has four right angles. A square is a special rectangle.

Drawing a rectangle

1. Draw the line segment \(\overline{AB}\). 2. Zero line (die Nulllinie) on \(\overline{AB}\), zero point (der Nullpunkt) on \(A\), draw \(b\) upwards along the drawing edge (die Zeichenkante): \(D\). 3. The same at \(B\): \(C\). 4. Join \(C\) and \(D\), measure \(\overline{CD}\) to check.

The finished rectangle ABCD with a = 6 cm and b = 4 cm.
The finished rectangle \(ABCD\) with \(a = 6\) cm and \(b = 4\) cm.

Never draw the corners by eye: if an angle is not \(90^\circ\), \(\overline{CD}\) becomes too long or too short.

Mistake: the angle at B is 98^\circ. This is not a rectangle.
Mistake: the angle at \(B\) is \(98^\circ\). This is not a rectangle.

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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Show the worksheet solutions
The worksheet – Page 5
Page 5/5

Try it yourself

Task

Rectangle \(ABCD\) with \(\overline{AB} = 9\) cm and \(\overline{BC} = 4\) cm. a) How long is \(\overline{CD}\)? b) How long is \(\overline{AD}\)? c) How many right angles does it have?

Show solution

a) \(9\) cm b) \(4\) cm c) four

Keep learning with a language model

You are my maths teacher. I am learning German as a second language. Our topic: rectangle and square (Ecken A, B, C, D, gegenüberliegende und benachbarte Seiten, rechte Winkel) and drawing rectangles with the set square. Give me five short tasks, 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.