# Squares (Mathematics Glossary)

# What Is a Square?

A square is a four sided shape with four equal sides and four right angles.# Properties of Squares

- All sides of a square are of equal length.

- All angles in a square are right angles.

- Opposite sides of a square are parallel.

- All angles of a square add up to 360°.

- The diagonals of a square bisect each other at right angles. The diagonals cross each other half-way along their lengths and are perpendicular to each other.

# The Perimeter of a Square

The perimeter of a square is given by the formula:where a is the length of the side of the square.

# The Area of a Square

The area of a square is given by the formula:where a is the length of the side of the square.

##### Curriculum

##### Interactive Test

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##### Note

# A SQUARE IS A POLYGON

A square is a type of polygon.A polygon is a 2-dimensional shape with straight sides.

A square is a regular polygon. Regular polygons have the same length sides and the same angles.

# A SQUARE IS A QUADRILATERAL

A square is a quadrilateral.A square is a four-sided polygon.

Parallelograms, rectangles and trapezoids are also quadrilaterals.

**SQUARE NUMBERS...**

A square number is a number multiplied by itself.

1

^{2}= 1 × 1 = 1

2

^{2}= 2 × 2 = 4

3

^{2}= 3 × 3 = 9

*The squares go 1, 4, 9...*

A square with sides of length 1 has an area of 1.

A square with sides of length 2 has an area of 4.

A square with sides of length 3 has an area of 9.

*The areas go 1, 4, 9...*

The square of a number and the area of a square with side lengths of that number are the same.

**... AND SQUARE ROOTS**

A square root is the inverse of a square number.

If a number represented the area of a square, then the square root represents the length of the side of that square.