Squares By: Cody Ward, Craig Bartelsmeyer, Michaela Lunsford, Olivia Caldwell

Properties of aProperties of a S UQ RA E A square is a quadrilateral and a four sided polygon.

It is defined as having equal sides and four interior angles equaling 90 degrees. Opposite side and angles are congruent. - Ex: A = B, C, & D<1 = <2, <3, & <4

Opposite sides are parallel. - Ex: A ll D, B ll C

1 2

43

90

90

90

90

A

B C

D

To find the perimeter of a square add all of the sides together or multiply one side by 4.

Ex: X+X+X+X = perimeter of the square 4(X) = perimeter of a square

To find the area multiply one side of the square by another side of the square or square one side.

Ex: Y(Y) = area of the square Y^2 = area of the square

X YX

X

X

Y

Y

Y

The diagonals of a square are congruent.

Each diagonal of a square is a perpendicular bisector of the other.

Angles between diagonals are all 90 degrees.

Diagonals of a Square

To find the length of the diagonal, multiply one side by the square root of 2.

Rectangle

Parallelogram

Trapezoid

Rhombus

A Square is a...

Kite

A Square is also a...Two – Dimensional

Hypercube In hyperbolic geometry, squares with right angles do not exist. Rather, squares in hyperbolic geometry have angles of less than right angles

In spherical geometry, a square is a polygon whose edges are great circle arcs of equal distance, which meet at equal angles. Unlike the square of plane geometry, the angles are larger than a right angle. .

Citations

http://www.coolmath.com/reference/squares.html

http://www.mathopenref.com/square.html

http://en.wikipedia.org/wiki/Hypercube