Similarly, a crossed rectangle is a crossed quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals. Crossed rectanglesĪ crossed quadrilateral (self-intersecting) consists of two opposite sides of a non-self-intersecting quadrilateral along with the two diagonals. a convex quadrilateral with successive sides a, b, c, d whose area is 1 4 ( a + c ) ( b + d ).a quadrilateral where the two diagonals are equal in length and bisect each other.a parallelogram ABCD where triangles ABD and DCA are congruent.a parallelogram with diagonals of equal length.a parallelogram with at least one right angle.Rectangles are involved in many tiling problems, such as tiling the plane by rectangles or tiling a rectangle by polygons.Ī convex quadrilateral is a rectangle if and only if it is any one of the following: Other geometries, such as spherical, elliptic, and hyperbolic, have so-called rectangles with opposite sides equal in length and equal angles that are not right angles. It is a special case of an antiparallelogram, and its angles are not right angles and not all equal, though opposite angles are equal. The word rectangle comes from the Latin rectangulus, which is a combination of rectus (as an adjective, right, proper) and angulus ( angle).Ī crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals (therefore only two sides are parallel). A rectangle with vertices ABCD would be denoted as ABCD. The term " oblong" is occasionally used to refer to a non- square rectangle. A rectangle with four sides of equal length is a square.
It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°) or a parallelogram containing a right angle. In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. Quadrilateral, trapezium, parallelogram, orthotopeĬonvex, isogonal, cyclic Opposite angles and sides are congruent
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