Sets, Relations & Functions
Logic and Statements
Grade 11
Question:
<p>The negation of the statement, 'if a quadrilateral is a square, then it is a rhombus' is</p>
<p>(a) if a quadrilateral is not a square, then it is a rhombus</p>
<p>(b) if a quadrilateral is a square, then it is not a rhombus</p>
<p>(c) a quadrilateral is a square and it is not a rhombus</p>
<p>(d) a quadrilateral is not a square and it is a rhombus</p>
Step-by-Step Solution
Key Concept: The negation of a conditional statement 'If P then Q' is 'P and not Q', not another conditional statement.
<p>The negation of 'If P, then Q' is 'P and not Q'. For the statement 'if a quadrilateral is a square, then it is a rhombus', the negation is 'a quadrilateral is a square and it is not a rhombus'.</p><p>∴ Answer is (c).</p>
Correct Answer: C