Question

All squares are congruent.
State whether the above statement is true or false:
a). True
b). False

Answer 1

Hint: The question is related to the geometry topic. Here we have to say the given statement is true or false. So initially we know the definition about the congruent and then by considering the figures we determine the solution for the given question.

Complete step-by-step solution:
The square is a plane figure, where it has four sides. Every side of a square is equal.
Here the statement is all squares are congruent. All squares will not be the same and they don’t have the same length. If it is not in the same length it means it is understood that they are of different lengths.
So now we will consider four different kinds of squares.

In the above diagram, the four squares are of different lengths.
So first we know the meaning about congruent
Congruent: In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Here the four squares are not the same size. Therefore all the squares are not congruent.
Hence the statement is a false statement
The option b) is the right one.

Note: The pictorial explanation is better than the theoretical explanation. There is a lot of difference between the congruent and similar. If it is a similar means it will irrespective of size. Likewise if it is congruent it means it will be of size.