Write the converse, inverse, and contrapositive of each of the following implication.
If $x$ and $y$ are numbers such that $x=y$, then $x^2=y^2$.

Write the converse, inverse, and contrapositive of each of the following implication.

If a quadrilateral is a square then it is a rectangle.

Construct the truth table for the following statement.

$\neg p\wedge \neg q$.

Construct the truth table for the following statement.

$\neg \left(p\wedge \neg q\right)$.

Construct the truth table for the following statement.

$\left(p\vee q\right)\vee \neg q$.

Construct the truth table for the following statement.

$\left(\neg p\to r\right)\wedge \left(p\leftrightarrow q\right)$.