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An antiparallelogram is a special case of a crossed quadrilateral, with two pairs of equal-length edges. [3] In general, crossed quadrilaterals can have unequal edges. [3] A special form of the antiparallelogram is a crossed rectangle, in which two opposite edges are parallel. [4]
the crossed quadrilateral, with four edges the antiparallelogram, a crossed quadrilateral with alternate edges of equal length the crossed rectangle, an antiparallelogram whose edges are two opposite sides and the two diagonals of a rectangle, hence having two edges parallel; Star polygons. pentagram, with five edges; hexagram, with six edges
Antiparallelogram: a crossed quadrilateral in which each pair of nonadjacent sides have equal lengths (like a parallelogram). Crossed rectangle : an antiparallelogram whose sides are two opposite sides and the two diagonals of a rectangle , hence having one pair of parallel opposite sides.
The quadrilateral with the greatest ratio of perimeter to diameter is a kite, with 60°, 75°, ... non-convex kite (middle), and antiparallelogram (bottom).
Crossed quadrilaterals are most common, including: crossed parallelogram or antiparallelogram, a crossed quadrilateral with alternate edges of equal length. crossed trapezoid' has two opposite parallel edges. crossed rectangle, an antiparallelogram whose edges are two opposite sides and the two diagonals of a rectangle.
Any non-self-crossing quadrilateral with exactly one axis of symmetry must be either an isosceles trapezoid or a kite. [5] However, if crossings are allowed, the set of symmetric quadrilaterals must be expanded to include also the crossed isosceles trapezoids, crossed quadrilaterals in which the crossed sides are of equal length and the other sides are parallel, and the antiparallelograms ...
Any square, rectangle, isosceles trapezoid, or antiparallelogram is cyclic. A kite is cyclic if and only if it has two right angles – a right kite.A bicentric quadrilateral is a cyclic quadrilateral that is also tangential and an ex-bicentric quadrilateral is a cyclic quadrilateral that is also ex-tangential.
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