rhombus, kite, square
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Squares, Rectangles, and Rhombuses.
perpendicular
trapezium
Square, rhombus or a kite.
All quadrilaterals have intersecting diagonals.Some symmetric quadrilaterals have perpendicularly bisecting diagonals.Equilateral parallelogramsof which the square is a special case...and the kite where two pairs of adjacent sides are the same length has one diagonal perpendicularly bisected by the other