Download Project 8

Squares
By: Cody Ward, Craig Bartelsmeyer, Michaela
Lunsford, Olivia Caldwell
Properties of a
Q
S
U
A
R
E
A square is a quadrilateral and a four
sided polygon.

A
1
2
90

90
It is defined as having equal sides and
four interior angles equaling 90 degrees.

B
C
Opposite side and angles are
congruent.
- Ex: A = B, C, & D
<1 = <2, <3, & <4
3
90
90
D
4

Opposite sides are parallel.
- Ex: A ll D, B ll C
X
X
Y
X
X

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
Y
Y
Y
To find the area multiply one side of

the square by another side of the square
or square one side.

4(X) = perimeter of a square
Ex: Y(Y) = area of the square

Y^2 = area of the square
Diagonals of a Square

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.

To find the length of the diagonal, multiply one side by the square root of 2.
A Square is a...
Rectangle
Rhombus
Trapezoid
Kite
Parallelogram
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.mathopenref.com/square.html
http://www.coolmath.com/reference/squares.html
http://en.wikipedia.org/wiki/Hypercube