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.
No.
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.
A parallelogram (or rectangle) which is not a rhombus (or square).
A rectangle would fit the given description
A rectangle.
No.
The shape you're describing is a kite. A kite has two pairs of adjacent sides that are equal in length, and its diagonals intersect at right angles (90 degrees). However, the lengths of the diagonals are not equal, which distinguishes it from 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
The diagonals do not intersect (cross) at 90 degrees.
No, the diagonals of an isosceles trapezium do not bisect each other. In an isosceles trapezium, while the non-parallel sides are equal in length, the diagonals are not equal and do not intersect at their midpoints. Instead, they cross each other at an angle, creating two pairs of triangles that are congruent but do not share their midpoints.
yes, they do. though they are not always equal in length they always cross at right angles.
Yes, the diagonals of a kite do cross at 90 degrees. In a kite, one diagonal bisects the other, and the angles formed at the intersection are right angles. This property is a key characteristic of kites, distinguishing them from other quadrilaterals.
A parallelogram
A rhombus has unequal diagonals which intersect at right-angles.