#### Answer

Converse: If Juan is rich, then won the lottery. (false)
Inverse: If Juan doesn't win the lottery, then he will not be rich. (false)
Contrapositive: If Juan is not rich, then he did not win the lottery. (true)

#### Work Step by Step

Switch the hypothesis and conclusion for the converse. Negate the hypothesis and conclusion for the inverse. Switch and negate the hypothesis and conclusion for the contrapositive.