A rectangle.
A rectangle would fit the given description
yes, they do. though they are not always equal in length they always cross at right angles.
It can be a square or a rhombus
Because it has 4 sides of equal lengths and its diagonals cross at 90 degrees. It looks like a tilted square with opposite parallel sides
No.
The shape you are describing is a rhombus. A rhombus has two pairs of parallel sides, with opposite sides being equal in length. The diagonals of a rhombus are also equal in length, but they do not intersect at 90 degrees; instead, they intersect at a 90-degree angle.
A rectangle would fit the given description
A parallelogram (or rectangle) which is not a rhombus (or square).
yes, they do. though they are not always equal in length they always cross at right angles.
The cross section of cylinder along its length (parallel to the axis of symmetry has the shape of a rectangle.
The diagonals of a square and a rhombus cross at right angles.
The diagonals of a rectangle do not cross at right angles
It depends on the inclination of the line of cross section. If it is at an incline to the sides and diagonal, the cross section is a point which becomes a line that increases in length, reaches a maximum, remains at that length and then shrinks back to a point. If it is parallel to a diagonal, the cross section is a point which becomes a line that increases in length, reaches a maximum and then shrinks back to a point. If it is parallel to a side, the cross section is a line of constant length.
It can be a square or a rhombus
none
Please note that the diagonals cross one another at right angles, and bisect one another. You should draw a diagram to visualize this. From this center point, where the diagonals cross, you have a RIGHT TRIANGLE that involves half of one diagonal, half of the other diagonal, and one of the sides of the rhombus. This lets you use the Pythagorean Theorem to solve for the length of the side.
Because it has 4 sides of equal lengths and its diagonals cross at 90 degrees. It looks like a tilted square with opposite parallel sides