The Properties of a Square

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.

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Written by Mahendra Almazzzzzz

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