Given the statement: "If two triangles are co | vedclass

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Question

(A) 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

Contrapositive: If areas are not equal, then triangles are not congruent. Inverse: If triangles are not congruent, then areas are not equal.

Vedclass · Answer

(A) Let $p$ be the statement "Two triangles are congruent" and $q$ be the statement "Their areas are equal". The given statement is $p \rightarrow q$.$1$. The inverse of $p \rightarrow q$ is $\sim p \rightarrow \sim q$: "If two triangles are not congruent, then their areas are not equal."$2$. The contrapositive of $p \rightarrow q$ is $\sim q \rightarrow \sim p$: "If the areas of two triangles are not equal, then they are not congruent."Comparing these with the options, option $A$ correctly lists both the contrapositive and the inverse.

Given the statement: "If two triangles are congruent, then their areas are equal." Identify the contrapositive and the inverse of this statement.

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