Why are all the squares square?

A rectangle is a special square

How do you change the general square to get a rectangle to get?

Take a look at the properties of a rectangle:


Number of corners: 4



Interior angle: all the same size (90 °)



Pages: opposite sides are the same length and parallel



Diagonals: are of equal length and halve each other (e = f)

A right angle is 90 °. This is the symbol for a right angle:


General square and rectangle in comparison - what is more precisely defined?

property general square rectangle
Number of corners 4 4
Interior angle can be of different sizes
pages can be of different lengths, no specific position to each other
Diagonals can be of different lengths, no specific position to each other

A general square can look very different.
Has a rectangle.

Special features of a rectangle:

  • Interior angle: same size and right angled
  • opposite sides: of equal length and parallel

A Rectangle is always a square but a square is not always a rectangle.

There are rectangles everywhere

In everyday life you come across objects with rectangular shapes everywhere:

  • window

  • Screen from your cell phone / smartphone

  • Screen from a television

  • Tabletop

  • Wall posters / posters
  • Flyer
  • Sheets from your folder
  • Book covers

  • Lying surface of your bed

and so much more.

kapiert.decan do more:

  • interactive exercises
    and tests
  • individual classwork trainer
  • Learning manager

A square is a special rectangle

How do you change the rectangle to get a square to get?



Take a look at the properties of a square:

Number of corners: 4

Interior angle: all the same size (90 °)

Pages: all of the same length

Diagonals: are perpendicular to each other, are of the same length and halve each other (e = f)

General square, rectangle and square in comparison - which is more precisely defined?

property general square rectanglesquare
Number of corners 4 4 4
Interior angle can be of different sizes
pages can be of different lengths, no specific position to each other
Diagonals can be of different lengths, no specific position to each other and


A general square can look very different.
Has a rectangle.
A square also has and arises from a rectangle.

Special features of a square:

  • Interior angle: same size and right angled
  • pages: of equal length
  • Diagonals: equal length, halve each other and are perpendicular to each other

A Square is always a rectangle but a rectangle is not always a square.

There are squares everywhere

In everyday life you come across objects with square shapes everywhere:

  • Napkins

  • Tiles

  • Picture Frame

  • cards
  • CD sleeves

  • Window panes

and so much more.

kapiert.decan do more:

  • interactive exercises
    and tests
  • individual classwork trainer
  • Learning manager

How do general square, rectangle and square relate to one another?

You know that a square is a special kind of a rectangle and the rectangle is a special kind of a general rectangle.

The general square is an upper form of one rectangle.
The rectangle is an upper form of one square.
The general quadrangle is therefore also an upper form of one square.

The square is a sub-form of a rectangle.
The rectangle is a sub-form of a general square.
The square is also a sub-form of a general square.