Question

Give reason:A square can be thought of as a special rectangle.

Answer 1

Hint:Here we will list the properties of both rectangle and square and then observe that rectangle is a special case of square.

Complete step-by-step answer:
We will first list all the properties of rectangle:-
1) A rectangle is a parallelogram.
2) The opposite sides are parallel.
3) The opposite sides are equal.
4) All angles are right angles.
5) The diagonals bisect each other at right angles.

Now we will list all the properties of square:-
1) A square is a parallelogram.
2) Opposite sides are parallel.
3) All sides are equal
4) All angles are right angles
5) The diagonals bisect each other at right angles.
Now since all the properties of the rectangle as well as the square are the same except for the length of sides.
So if all the sides of a rectangle become equal then it will become a square.
Hence a square can be thought of as a special rectangle.

Note:Students should take a note that all squares can be rectangles but all rectangles cannot be squares as a square is a special case of a rectangle.