Known: as shown in the figure, in the quadrilateral ABCD, ad ‖ BC, BD bisects AC vertically

Known: as shown in the figure, in the quadrilateral ABCD, ad ‖ BC, BD bisects AC vertically

AC intersects BD at O, and triangle ADO is similar to triangle BOC, so do = Bo,
A quadrilateral whose diagonals are perpendicular to each other and bisected is a diamond