The contrapositive of $\sim q \to p$ is equivalent to

The statement pattern $[p$ $\rightarrow(q$ $\rightarrow p)]$ $\rightarrow[p$ $\rightarrow(p \vee q)]$ is

If the truth value of the compound statement $[(p \leftrightarrow q) \land (q \to r) \land \sim r] \to (p \land \sim q)$ is false, then the truth values of the statement patterns $(p \to q) \leftrightarrow (q \to r)$ and $\sim (p \lor r) \to (q \land p)$ are, respectively ...

The negation of the inverse of the statement $∼ p \lor q$ is...

The correct logical equivalences from the following are:
$(I)$ $p \to (q \to r) \equiv (p \land q) \to r$
$(II)$ $(p \to q) \to r \equiv p \to (q \lor r)$
$(III)$ $(p \to q) \to r \equiv (p \to r) \land (\sim q \to r)$
$(IV)$ $p \to (q \to r) \equiv q \to (p \to r)$

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)