Question

All squares are rhombuses and also rectangles.
(A). True
(B). False

Answer 1

Hint: Here, we will have to figure out the properties of rhombus and rectangles and then we will compare them to the properties of a square and check whether the given statement is true or false.

Complete step-by-step answer:
First, let us discuss the properties of a rhombus.
In a rhombus, the lengths of all the four sides are equal, the diagonals of a rhombus bisect each other and all the four angles of a rhombus are not equal to 90 degrees unlike what is seen in a square.
We know that in a square also, all the four sides are equal like a rhombus and also the diagonals of a square bisect each other. So, we can say that a square is a rhombus but a rhombus is not a square because its angles are not 90 degrees.
Now, let us discuss the properties of a rectangle.
The opposite sides of a rectangle are equal in lengths, the four angles of a rectangle are equal to 90 degrees and also the diagonals of a rectangle bisect each other.
So, we can say that a square is a rectangle as their properties are the same but all the rectangles are not squares.
Therefore, all the squares are rhombuses and also rectangles.
Hence, option (a) True is the correct answer.

Note: Here students should know all the important properties of a square, rhombus and a rectangle and also the comparison should be done properly. It is important to remember that the vice versa is not always true.