Consider the following statements:
Statement $1$: If a quadrilateral is a square,then all of its sides are equal.
Statement $2$: If all the sides of a quadrilateral are equal,then it is a square.
Statement $1$: If a quadrilateral is a square,then all of its sides are equal.
Statement $2$: If all the sides of a quadrilateral are equal,then it is a square.
- AStatement $2$ is the contrapositive of statement $1$.
- BStatement $2$ is the negation of statement $1$.
- CStatement $2$ is the inverse of statement $1$.
- DStatement $2$ is the converse of statement $1$.
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Similar Questions
Write the negation of the following statement:
$p:$ For every positive real number $x,$ the number $x-1$ is also positive.
$p:$ For every positive real number $x,$ the number $x-1$ is also positive.
Easy
View SolutionIf $p: 25$ is an odd prime number.
$q: 14$ is a composite number and
$r: 64$ is a perfect square number.
Then which of the following statement patterns is true?
$q: 14$ is a composite number and
$r: 64$ is a perfect square number.
Then which of the following statement patterns is true?
Which of the following is not a correct statement?
Which of the following statement patterns is a tautology?
$S_{1} \equiv \sim p \rightarrow (q \leftrightarrow p)$
$S_{2} \equiv \sim p \vee \sim q$
$S_{3} \equiv (p$ $\rightarrow q) \wedge (q$ $\rightarrow p)$
$S_{4} \equiv (q \rightarrow p) \vee (\sim p \leftrightarrow q)$
$S_{1} \equiv \sim p \rightarrow (q \leftrightarrow p)$
$S_{2} \equiv \sim p \vee \sim q$
$S_{3} \equiv (p$ $\rightarrow q) \wedge (q$ $\rightarrow p)$
$S_{4} \equiv (q \rightarrow p) \vee (\sim p \leftrightarrow q)$
Rewrite the following statement in the form "$p$ if and only if $q$":
$r:$ If a quadrilateral is equiangular,then it is a rectangle and if a quadrilateral is a rectangle,then it is equiangular.
$r:$ If a quadrilateral is equiangular,then it is a rectangle and if a quadrilateral is a rectangle,then it is equiangular.
Easy
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