Write the converse, inverse and contrapositive of the statement "If a triangle is equilateral then it is equiangular".
Q.2 (A) (i) Write the converse, inverse and contrapositive of the statement "If a triangle is equilateral then it is equiangular".
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Let p : A triangle is equilateral, q : It is equiangular. The given statement is \(p\to q\).
- Converse \((q\to p)\): If a triangle is equiangular then it is equilateral.
- Inverse \((\sim p\to\sim q)\): If a triangle is not equilateral then it is not equiangular.
- Contrapositive \((\sim q\to\sim p)\): If a triangle is not equiangular then it is not equilateral.
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· 28 Oct 2026
AI-verified · Oct 2026
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