Question

How can we say that a square is a rectangle, but a rectangle may not be a square?

Answer 1

Hint: We will understand the proper definition of square and rectangle. And then by drawing a figure and comparing the properties whether the square satisfies all the properties of the rectangle and whether the rectangle satisfies properties of the square or not, we will get the answer.

Compete step-by-step solution -
Here, we will first understand the basic concept of square. It is given as: Square consists of four sides all having equal length. Then all the four angles of square are right angle i.e. $90{}^{\circ }$ . Figure is as shown below:
 

Now, we will understand the concept of rectangle: A rectangle is a quadrilateral with all four angles as right angles. Only opposite sides are of equal measure and parallel to each other. Figure is as shown below:

A rectangle can be tall and thin, short and fat or all the sides can have the same length.
So, we can say that a square is a special kind of rectangle. It is the one where all the sides have the same length. Thus, every square is a rectangle because it is a quadrilateral with all four angles right angles.
Hence, not every rectangle is a square, to be a square its sides must have the same length.

Note: Do not simply give the answer that square cannot be rectangle because here, square is considered a special case of rectangle where all sides are equal. So, all the theory points regarding rectangles, square, their angles and all other properties should be clear then only we will get the correct answer. So, remember all the theory points for solving this type of problem.