WHAT IS A SQUARE SHAPE – MINDSPARK

SQUARE SHAPE

A square is a four-sided polygon (quadrilateral) with equal sides. The opposite sides form a parallel pair. The angle formed by the adjacent sides of a square  90 degrees.

PROPERTIES OF A SQUARE

Following are the properties of a square:

1. Square has four sides which are equal and has four vertices.
2. All the sides of square are equal. The opposite sides form a parallel pair.
3. Adjacent sides form 90 degree angles.
4. The sum of all the interior angles is 360 degree.
5. When we join the opposite vertices of a square we get its diagonals. Diagonals of a square bisect each other at 90 degree angle.
6. The length of the diagonals of a square are equal.
7. Parallelogram is a figure that has opposite sides parallel. Therefore a square is also called a parallelogram.

FORMULA OF SQUARE

The perimeter of a square is the sum of all sides of the square. So if we add the length of the sides of the square, we get 

Perimeter of a square \mathrm{=s+s+s+s=4 s}

The formula for the perimeter of a square is \mathrm{4 s} where s is the length of the side of the square.

The area of a square =\mathrm{s^{2}} where s is the length of the side of the square. 

The length of the diagonals of a square=\mathrm{s \sqrt{2}} where s is the length of the side of the square. 

A diagonal divides the square into two congruent triangles and by Pythagoras theorem, we can say that the diagonal is the hypotenuse and the two sides of the triangle are the perpendicular and base. The Pythagoras theorem is:

\text { perpendicular }^{2}+\text { base }^{2}=\text { hypotenuse }^{2}

Therefore it is easy to find the length of a diagonal if we know the value of the side of the square.

A square is also a type of a rectangle but the difference is that a rectangle has only its opposite sides equal, unlike a square which has all its sides equal.