 # Square facts for kids

Kids Encyclopedia Facts
(Redirected from Square (geometry))

A square is a shape with four equal sides and four corners that are all right angles (90 degrees). The diagonals of a square also cross at right angles. The angle between any diagonal and a side of a square is 45 degrees. A square has rotational symmetry of four. It has four lines of regular symmetry. A square with vertices A, B, C and D can be written as $\square ABCD$.

A square is a type of rectangle with all sides of equal length. However, while a square is a type of rectangle and rhombus, the opposite does not need to be true.

A square is also the 2-dimensional analogue of a cube.

## Formulas

If the length of side a is known, then we have that:

 Perimeter $4a$ Area $a^2$ Length of diagonal $\sqrt{2}a$

If the length of diagonal d is known, then we have that:

 Length of side $\frac{d}{\sqrt{2}}$ Perimeter $2d\sqrt{2}$ Area $\frac{d^2}{2}$

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