No.
No.
No.
No.
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No, the diagonals of a rectangle are not perpendicular. The angles between them depend on the dimensions of the rectangle.However, the diagonals of a square are perpendicular (and squares are technically "regular" rectangles, meaning that all sides and angles are equal).
It depends on what you mean by bisect. All rectangles have diagonals that bisect the other one. Only certain rectangles (Squares) have diagonals that bisect its vertex, the ninety degree angle.
A rhombus has 4 equal sides and the diagonals are always perpendicular
No but the diagonals of a square, rhombus and a kite are perpendicular to each other
No but its diagonals are perpendicular