<Li> a quadrilateral where the diagonals are equal and are the perpendicular bisectors of each other, i.e. a rhombus with equal diagonals </Li> <Li> a convex quadrilateral with successive sides a, b, c, d whose area is A = 1 2 (a 2 + c 2) = 1 2 (b 2 + d 2). (\ displaystyle A = (\ tfrac (1) (2)) (a ^ (2) + c ^ (2)) = (\ tfrac (1) (2)) (b ^ (2) + d ^ (2)).) </Li> <P> A square is a special case of a rhombus (equal sides, opposite equal angles), a kite (two pairs of adjacent equal sides), a trapezoid (one pair of opposite sides parallel), a parallelogram (all opposite sides parallel), a quadrilateral or tetragon (four - sided polygon), and a rectangle (opposite sides equal, right - angles) and therefore has all the properties of all these shapes, namely: </P> <Ul> <Li> The diagonals of a square bisect each other and meet at 90 ° </Li> <Li> The diagonals of a square bisect its angles . </Li> <Li> Opposite sides of a square are both parallel and equal in length . </Li> <Li> All four angles of a square are equal . (Each is 360 ° / 4 = 90 °, so every angle of a square is a right angle .) </Li> <Li> All four sides of a square are equal . </Li> <Li> The diagonals of a square are equal . </Li> <Li> The square is the n = 2 case of the families of n - hypercubes and n - orthoplexes . </Li> <Li> A square has Schläfli symbol (4). A truncated square, t (4), is an octagon, (8). An alternated square, h (4), is a digon, (2). </Li> </Ul>

A square has all the properties of a
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