A Kite is a quadrilateral in which the adjacent sides on either side of a diagonal are equal. In the figure ABCD is a kite in which AD = DC and AB = BC, A kite has the following properties.
Property.1) The diagonals of a kite are perpendicular to each other
In the figure, AC ⊥ BD
Property.2) The diagonal on either side of which the adjacent sides are equal, is bisected by the other diagonal.
In the figure, the diagonal BD bisects the diagonal AC, hence OA = OC, The Kite ABCD also has the following properties.
a) ∠A = ∠C, b) BD bisects ∠ABC and ∠ADC