A square is a rhombus but a rhombus is not a square. Why?

1.	A square is a rhombus but a rhombus is not a square. Why?
Answer» In a square (i) All sides are equal. (ii) Opposite sides are parallel (iii) Diagonals divides the square into 4 right angled triangles of equal area (iv) The diagonals bisect each other at right angles. So it become a rhombus also. But in a rhombus (i) Each angle need not equal to 90°. (ii) The length of the diagonals need not be equal. Therefore it does not become a square.

Answer»

In a square

(i) All sides are equal.

(ii) Opposite sides are parallel

(iii) Diagonals divides the square into 4 right angled triangles of equal area

(iv) The diagonals bisect each other at right angles.

So it become a rhombus also.

But in a rhombus

(i) Each angle need not equal to 90°.

(ii) The length of the diagonals need not be equal. Therefore it does not become a square.

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A square is a rhombus but a rhombus is not a square. Why?

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