## Geometry: Common Core (15th Edition)

The converse swaps the hypothesis and the conclusion. If $x=5$, then $4x+8=28$. True. There is no counterexample. The inverse negates the hypothesis and the conclusion. If $4x+8\ne28$, then $x\ne5$. True. There is no counterexample. The contrapositive both swaps and negates the hypothesis and conclusion. If $x\ne5$, then $4x+8\ne28$. True. There is no counterexample.