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

9

0

9

0

9

0

9

0

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