#### Answer

yes

#### Work Step by Step

The conditional and contrapositive always have the same truth value.
Since $2^2=4$, the conditional statement is true.
The contrapositive both swaps and negates the hypothesis and the conclusion.
If $x^2\ne4$, then $x\ne2$.
Since $2^2=4$, the contrapositive is true.
There is no counterexample. It is not necessary to find a counterexample to prove a statement is true. A counterexample can only prove a statement is false.