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Squares By: Cody Ward, Craig Bartelsmeyer, Michaela Lunsford, Olivia Caldwell. Properties of a. Q. A. E. S. U. R. A square is a quadrilateral and a four sided polygon. It is defined as having equal sides and four interior angles equaling 90 degrees.

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slide1

Squares

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

slide2

Properties of a

Q

A

E

S

U

R

  • 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

A

1

2

90

90

B

C

90

90

3

4

D

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X

Y

X

Y

X

Y

X

Y

  • 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

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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.
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A Square is a...

Rectangle

Trapezoid

Kite

Rhombus

Parallelogram

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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.

.

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Citations

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

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

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

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