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What is the negation of the statement: "If a quadrilateral is a square, then it is a rhombus"?

1. If a quadrilateral is not a square then it is a rhombus
2. If a quadrilateral is a square then it is not a rhombus
3. A quadrilateral is a square and it is not a rhombus
4. A quadrilateral is not a square and it is a rhombus

Correct answer: A quadrilateral is a square and it is not a rhombus

Solution

Since ~(p -> q) is equivalent to p AND ~q, the negation is 'a quadrilateral is a square and it is not a rhombus'.

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