MHT CET · Maths · Mathematical Reasoning
Let
Statement 1 : If a quadrilateral is a square, then all of its sides are equal.
Statement 2: All the sides of a quadrilateral are equal, then it is a square.
- A Statement 2 is contrapositive of statement 1.
- B Statement 2 is negation of statement 1 .
- C Statement 2 is inverse of statement 1.
- D Statement 2 is the converse of statement 1.
Answer & Solution
Correct Answer
(D) Statement 2 is the converse of statement 1.
Step-by-step Solution
Detailed explanation
Let p: A quadrilateral is a square
\(q\) : All sides of quadrilateral are equal.
\(\therefore \quad\) Statement 1 is \(\mathrm{p} \rightarrow \mathrm{q}\),
Statement 2 is \(\mathrm{q} \rightarrow \mathrm{p}\)
\(\therefore \quad\) Statement 2 is the converse of statement 1.
\(q\) : All sides of quadrilateral are equal.
\(\therefore \quad\) Statement 1 is \(\mathrm{p} \rightarrow \mathrm{q}\),
Statement 2 is \(\mathrm{q} \rightarrow \mathrm{p}\)
\(\therefore \quad\) Statement 2 is the converse of statement 1.
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