The diagonals of a rectangle are congruent and they bisect each other.
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This will probably refer to the fact that in a rectangle the diagonals are equal (i.e. have equal length) and they intersect each other in their middle. Moreover, a rectangle is the only quadrangle having this property. So to check that the floor in a room is a rectangle, you just have to draw the diagonals and check the two properties just mentioned.
Yes the diagonals of a rectangle are equal in lengths
The diagonals of a rectangle bisect the angles only if the rectangle is a square.
The diagonals of a rectangle are never perpendicular but the diagonals of a square are perpendicular
The diagonals of a square are perpendicular whereas the diagonals of a rectangle are not perpendicular.