The diagonals are equal in length and bisect each other forming vertical opposte equal angles
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Yes
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).
A rhombus or a square. In rectangles (unequal side length) this does not occur.
Well, honey, let me break it down for you. The only quadrilaterals where the diagonals intersect at 90 degrees are rectangles. So, if you're looking for some right angles in your shape, stick with rectangles and you'll be golden.
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.