Question

A quadrilateral in which the diagonals are equal and bisect each other at right angles is a ______.

Options

• rectangle which is not a square.

• rhombus which is not a square.

• square.

• kite which is not a square.

Answer 1

A quadrilateral in which the diagonals are equal and bisect each other at right angles is a square.

Explanation:

A quadrilateral whose diagonals are equal in length and bisect each other at right angles possesses the defining properties of both a rectangle (equal diagonals) and a rhombus (diagonals intersecting at 90°). These combined geometric conditions uniquely characterise a square.