Question

A quadrilateral in which diagonals are equal and bisect each other perpendicularly is a ……...
A. Square
B. Rhombus which is not a rectangle
C. Rhombus which is not a square
D. None of these

Answer 1

Hint: Diagonals of the square are equal and bisects each other at right angles. In this problem, we need to find out the definition of the given option such that, square, rectangle etc.

Complete step by step answer:
The properties of the rectangle are shown below.
(a) The opposite sides of a rectangle are equal and at right angles to each other.
(b) The diagonals of the rectangle are equal.
(c) Diagonals do not intersect at right angles.

The properties of the square are shown below.
(a) All sides of the square are and at right angles equal to each other.
(b) The diagonals of the square are equal.
(c) Diagonals intersect at right angles.

So, the correct answer is “Option A”.

Note: Square is the only quadrilateral in which diagonals bisects each other perpendicularly. In the rectangle the diagonals are equal but do not bisects at right angles.