<image>In the following definition represented by : if there exists a quadrilateral where the sum of squares of two adjacent sides is equal to the square of one of its diagonals, then such a quadrilateral is called a Pythagorean quadrilateral. These two adjacent sides are referred to as the Pythagorean sides of the quadrilateral.

(1) List the names of two special quadrilaterals that you have learned which are Pythagorean quadrilaterals;
(2) As shown in the figure, triangle ABC is rotated 60° clockwise around vertex B to obtain triangle DBE. Connect AD and BC, with ∠DCB=30°. Prove that DC^{2}+ BC^{2}=AC^{2}, indicating that the quadrilateral is a Pythagorean quadrilateral.