If the statement "If two triangles are congru | vedclass

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Question

(D) Let $p$ be the statement "Two triangles are congruent" and $q$ be the statement "Their areas are equal". The given statement is $p \rightarrow q$.

Vedclass · Accepted Answer

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

Vedclass · Answer

(D) Let $p$ be the statement "Two triangles are congruent" and $q$ be the statement "Their areas are equal". The given statement is $p \rightarrow q$.The inverse of $p \rightarrow q$ is $\sim p \rightarrow \sim q$,which is: "If two triangles are not congruent,then their areas are not equal."The contrapositive of the inverse $(\sim p \rightarrow \sim q)$ is $\sim(\sim q) \rightarrow \sim(\sim p)$,which simplifies to $q \rightarrow p$. This is: "If the areas of two triangles are equal,then they are congruent."

If the statement "If two triangles are congruent,then their areas are equal" is given,then what are the contrapositive and the inverse of the given statement?

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