# 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 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). 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.