## Geometry: Common Core (15th Edition)

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.