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