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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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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. • 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
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
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 Trapezoid Kite Rhombus 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