If two triangles are congruent,then their are | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let $p$: Two triangles are congruent. $q$: Their areas are equal. The logical form of the given statement is $p \rightarrow q$. The inverse of the

Vedclass · Accepted Answer

If areas of two triangles are equal,then they are congruent.

Vedclass · Answer

(C) Let $p$: Two triangles are congruent. $q$: Their areas are equal. The logical form of the given statement is $p \rightarrow q$. The inverse of the given statement is $\sim p \rightarrow \sim q$. The contrapositive of the inverse is the contrapositive of $(\sim p \rightarrow \sim q)$,which is $\sim(\sim q) \rightarrow \sim(\sim p)$. Using the law of double negation,this simplifies to $q \rightarrow p$. Therefore,the statement is: If areas of two triangles are equal,then they are congruent.

If two triangles are congruent,then their areas are equal. What is the contrapositive of the inverse of this statement? (Where $p$: Two triangles are congruent,$q$: Their areas are equal)

Similar Questions

Let $A, B, C$ and $D$ be four non-empty sets. The contrapositive statement of "If $A \subseteq B$ and $B \subseteq D,$ then $A \subseteq C$" is

The negation of the contrapositive of the statement pattern $(p \vee \sim q) \rightarrow (p \wedge \sim q)$ is

The negation of the contrapositive of the statement $(p \vee \sim q) \to (p \wedge \sim q)$ is

In a Boolean Algebra $B$,for all $x, y \in B$,$x \wedge (x \vee y)$ is equal to

The converse of "If $3$ is a prime number,then $3$ is odd." is

Vedclass Test Series

Exam Paper Generator

Online Exam Module