One diagonal is a line of symmetry (it divides the quadrilateral into two congruent triangles).(In the concave case it is the extension of one of the diagonals.) One diagonal is the perpendicular bisector of the other diagonal.Two pairs of adjacent sides are equal (by definition).CharacterizationsĪ quadrilateral is a kite if and only if any one of the following statements is true: The tiling that it produces by its reflections is the deltoidal trihexagonal tiling.
There are only eight polygons that can tile the plane in such a way that reflecting any tile across any one of its edges produces another tile one of them is a right kite, with 60°, 90°, and 120° angles. That is, for these kites the two equal angles on opposite sides of the symmetry axis are each 90 degrees. the kites that can be inscribed in a circle) are exactly the ones formed from two congruent right triangles. The kites that are also cyclic quadrilaterals (i.e. An equidiagonal kite that maximizes the ratio of perimeter to diameter, inscribed in a Reuleaux triangleĪmong all quadrilaterals, the shape that has the greatest ratio of its perimeter to its diameter is an equidiagonal kite with angles π/3, 5π/12, 5π/6, 5π/12.
