Question

Explain how a square is a rectangle.

Answer 1

Hint: As we know that square is also a parallelogram, so will explain a square is a rectangle by using the properties of a square and a rectangle.

Complete step by step solution:
According to property of square,
(i) Square is a parallelogram.
(ii) All sides are equal.
(iii) All angles are equal and each angle is\[90^\circ \]………….(i)
So, we can say that the square is a parallelogram with all sides equal and all angles are of \[90^\circ \].
According to the property of rectangle:
(i) Rectangle is also a parallelogram.
(ii) Opposite sides are equal in length.
(iii) All angles are equal i.e. each angle is${90^o}$.
According to the above properties of rectangle, rectangle is also a parallelogram where one angle is${90^o}$……….(ii)
From equation (i) and (ii), we can conclude that a square is a rectangle.


Note: Some more properties of square and rectangle are:
Property of square:
(i) Diagonals are equal.
(ii) Diagonals bisect each other at right angles.
Property of rectangle:
(i) Diagonals of a rectangle bisect each other.
(ii) The opposite sides of a rectangle are parallel.
(iii) Diagonals are equal.