A square.
quadrilateral
A parallelogram.
Rhombus
No.
A square
A square.
How about a rectangle.
Sure, a square is a rectangle and the diagonals of a square are perpendicular.
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.
trapezium
quadrilateral
A kite fits this description.
A parallelogram.
rhombus
Rhombus
No.