Cool math .com - The Properties of a Square (perimeter, area, interior angles, diagonals, lengths of sides)

$Cool math fractal$

Your browser does not support the IFRAME tag.

$cool math anxiety survival and success guide$ $cool geometry art - fractals, polyhedra, more$ $other math stuff$
$cool math lessons$ $cool math games and practice problems$ $cool math games$ $free online math dictionary$
$Cool Math 4 Kids$

The Properties of a Square
Definitions and formulas for the perimeter of a square, the area of a square, how to find the length of the diagonal of a square, properties of the diagonals of a square
Just scroll down or click on what you want and I'll scroll down for you!

perimeter of a square	area of a square	sides and angles of a square
diagonal of a square	central angle of a square	facts about squares

Your browser does not support the IFRAME tag.

Your browser does not support the IFRAME tag.	Your browser does not support the IFRAME tag.

The perimeter of a square:

To find the perimeter of a square, just add up all the lengths of the sides:

Perimeter = x+x+x+x = 4x

The area of a square:

To find the area of a square, multiply the lengths of two sides together... Another way to say this is to say "square the length of a side!" Get it? Square!

Area = x*x = x^2

The sides and angles of a square:

square

The sides of a square are all congruent (the same length.)

The angles of a square are all congruent (the same size and measure.)

Remember that a 90 degree angle is called a "right angle." So, a square has four right angles.

Opposite angles of a square are congruent.
Opposite sides of a square are congruent.
Opposite sides of a square are parallel.

The diagonal of a square:

square

To find the length of the diagonal of a square, multiply the length of one side by the square root of 2:

If the length of one side is x...

length of diagonal = x

The central angle of a square:

square

The diagonals of a square intersect (cross) in a 90 degree angle. This means that the diagonals of a square are perpendicular.

The diagonals of a square are the same length (congruent).

Cool facts about squares:

A square is a rectangle.	A square is a trapezoid.
A square is a parallelogram.	A square is a rhombus.
So, what's left? A kite! Is a square a kite? I've seen "yes" and "no." It all depends on whether or not you think a kite can have all its sides be the same length or not (which would make it a rhombus.) I've seen some definitions where a kite must have two sides of length A and two sides of length B where A does not equal B.