1.

Write the negations of the :Qudrilateral is a square if and only if it is a rhombus.

Answer»

Let p : Quadrilateral is a square. 

q : It is a rhombus. 

Then,

The symbolic form of the given statement is p ↔ q. 

Since ~(p ↔ q) ≡ (p ∧ ~q) ∨ (q ∧ ~p), 

The negation of given statement is :

'Quadrilateral is a square but it is not a rhombus or quadrilateral is a rhombus but it is not a square.'



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