a square
Two pairs of touching sides are the same length. The diagonals meet at right angles. Opposite sides are not parallel.
A rectangle.
It is a rhombus
The sides of a rhombus must all be the same length, but the angles do not need to be the same. The result is a diamond shape where the diagonals can be two different lengths.
a square
a pentagon
A rectangle (or square), isosceles trapezium and some kites.
Two pairs of touching sides are the same length. The diagonals meet at right angles. Opposite sides are not parallel.
A rectangle.
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.
It is a rhombus
The sides of a rhombus must all be the same length, but the angles do not need to be the same. The result is a diamond shape where the diagonals can be two different lengths.
triangle
A square and a rectangle have diagonals of equal lengths
A Rectangle.
not in all shapes.