Final answer:
The trapezium is different from a square, rectangle, and rhombus because it only has one pair of parallel sides, while the others are parallelograms with two pairs of parallel sides.
Step-by-step explanation:
The question asks which of the four quadrilaterals - square, rectangle, rhombus, and trapezium - is different from the others in terms of design. To answer this, we need to look at the properties of each shape.
A square has all sides of equal length and all angles are right angles. A rectangle also has all angles as right angles, but only opposite sides are of equal length. A rhombus has all sides of equal length with opposite sides parallel, but the angles are not generally right angles. These three shapes are all types of parallelograms because they have two pairs of parallel sides.
The trapezium (or trapezoid), however, is different from the other three because it only needs to have one pair of parallel sides. The non-parallel sides are not required to be of equal length, and the angles can be of any measure. This lack of symmetry and presence of only one pair of parallel sides sets the trapezium apart from the square, rectangle, and rhombus.