Final answer:
A rhombus is the quadrilateral whose diagonals bisect at right angles, which is different from rectangles, trapeziums, and general parallelograms. Only in a rhombus do the diagonals bisect each other at right angles.
Step-by-step explanation:
The quadrilateral whose diagonals bisect each other at right angles is a rhombus. This property is one of the defining characteristics of a rhombus. In a rhombus, the diagonals are perpendicular to each other and each diagonal cuts the other into two equal halves. This is not the case for a rectangle, trapezium, or a general parallelogram, although both a rectangle and a rhombus are types of parallelograms. It's important to note that while the diagonals of a rectangle and a rhombus both bisect each other (they cut each other into equal parts), only in a rhombus do they do so at right angles.
An example that uses this property outside of geometry is in physics, where a vector can be represented as the diagonal of a parallelogram, and its components form a right-angle triangle, allowing the use of the Pythagorean theorem to find the magnitude of the vector.