Squares By: Cody Ward, Craig Bartelsmeyer, Michaela Lunsford, Olivia Caldwell
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Transcript of Squares By: Cody Ward, Craig Bartelsmeyer, Michaela Lunsford, Olivia Caldwell
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Squares By: Cody Ward, Craig Bartelsmeyer, Michaela Lunsford, Olivia Caldwell
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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
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90
90
90
90
A
B C
D
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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
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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.
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Rectangle
Parallelogram
Trapezoid
Rhombus
A Square is a...
Kite
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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.coolmath.com/reference/squares.html
http://www.mathopenref.com/square.html
http://en.wikipedia.org/wiki/Hypercube