Question

Give reasons for the following:
 A square can be thought of as a special rectangle.

Answer 1

Hint: We can see the properties of both the figures and see the similarities between the same. Then we can see if the properties of the rectangle become the same as that of square with alterations, it will be called as its special case.

Complete step-by-step answer:
The properties of both the rectangle and the square are given as:
Rectangle:

It has 4 sides, out of which each opposite pair is parallel and of equal length.
All the angles formed inside are equal to 90°.
The diagonals are of equal length and bisect each other.
Square:

It has 4 sides ,all of them are of equal lengths and opposite sides are parallel.
All the angles formed inside are equal to 90°.
The diagonals are of equal length and bisect each other at 90°.
It can be seen that both of the figures have similar properties.
When all the sides of a rectangle become equal, its diagonals bisect at an angle of 90°, all the properties of the rectangle and square become the same and thus we can think of the square as a special case of a rectangle.

Note: The figures having 4 sides are known as quadrilaterals and the angles formed inside of the figure are known as interior angles. We are calling square as a special case of rectangle and not vice – versa because with the modifications in rectangle’s few properties, it can be considered as a square.