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 angles of 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. 
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). 

Cool facts about squares:  
