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Yes but not at right angles
No but the diagonals of a square bisect each other at right angles
It is a rectangle
The diagonals of a square (which always bisect each other) are the same length.
Only for a square or rhombus (diamond shape). The diagonals of a rectangle bisect each other, but are not perpendicular and do not bisect the opposite angles they join.
Yes it does - they bisect each other at the exact centre of the rectangle.
A quadrilateral whose diagonals bisect each other at right angles is a rhombus. each other at right angles at M. So AB = AD and by the first test above ABCD is a rhombus. 'If the diagonals of a parallelogram are perpendicular, then it is a rhombus
No. In general it does not. Only if the rectangle is, in fact, a square.
Yes, they do.
Yes
Yes.
Yes