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

 The perimeter of a square: To find the perimeter of a square, just add up all the lengths of the sides:
 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!
 The sides and angles of a 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: 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:

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).