Squares+P3+-+JE

=**__Squares__ Chapter 8.4**= //By Eli and Jonah// Defnition of a square; //Parallelograms// with four congruent sides and four right angles. Squares are in the group of //quadrilaterals.// A square is a square if and only it is a rombus and a rectangle at the same time.

Basic Information.
Also called a convex quadrilateral, but can only be a convex quadrilateral if, -It a rectangle with two adjacent sides -Quadrilateral with four equal sides and four right angles -A parallelogram with one right angle and two adjacent sides. Use corollaries to prove quadrilaterals are parallelograms,(a parallelogram can only be square if it uses the rhombus and rectangle corollaries)
 * Regular polgon
 * Has four verticies, and four edges
 * Area- Variable squared
 * Dihedral
 * Corollaries**

Area
L = one side length
 * L^2
 * LxL

Perimeter[[image:geometrych8-2012/square_area.gif]]

 * L+L+L+L=4L



To find the Diagonal of a square you take one side length which in this case is x. length of diagonal= x radical 2[[image:geometrych8-2012/diagonal_of_square.jpg]]Angle Bisector
The anlge of the angle biscetor will always be 45 degrees. Two angle bisectors will create 4 right triangles.

Helpful Links
[|Squares on Coolmath] ClassZone.com