Conditional Statement Review Geometry – Section 2.2.

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Conditional Statement Review Geometry – Section 2.2

Conditional Statements Conditional Statement – if/then form; has a hypothesis and a conclusion Conditional Statement – if/then form; has a hypothesis and a conclusion Inverse Inverse Converse Converse Contrapositive Contrapositive negation of the hypothesis and conclusion switch the conclusion and the hypothesis negate the converse

If it is Saturday, then we will shop. Hypothesis: Hypothesis: Conclusion: Conclusion: Inverse: Inverse: Converse: Converse: Contrapositive: Contrapositive: It is Saturday We will shop If it isn’t Saturday then we will not shop. If we shop then it is Saturday. If we don’t shop, then it isn’t Saturday.

If you see lightening, then you hear thunder. Hypothesis: Hypothesis: Conclusion: Conclusion: Inverse: Inverse: Converse: Converse: Contrapositive: Contrapositive: You see lightening You hear thunder If you hear thunder then you see lightening. If you don’t hear thunder then you won’t see lightening. If you don’t see lightening then you don’t hear thunder.

Important! If a given conditional statement is true, the converse and inverse are not necessarily true. If a given conditional statement is true, the converse and inverse are not necessarily true. However, the contrapositive of a true conditional statement is always true, and the contrapositive of a false conditional is always false. However, the contrapositive of a true conditional statement is always true, and the contrapositive of a false conditional is always false.

If Johnny Depp will star in Pirates of the Caribbean IV, The Search for More Dough, then he won’t have to worry about money. Hypothesis: Hypothesis: Conclusion: Conclusion: Inverse: Inverse: Johnny Depp will star in Pirates of the Caribbean IV – The Search for More Dough He won’t have to worry about money. If Johnny Depp does not star in Pirates of the Caribbean IV, then he will have to worry about money.

If Johnny Depp will star in Pirates of the Caribbean IV, The Search for More Dough, then he won’t have to worry about money. Converse: Converse: Contrapositive: Contrapositive: If he doesn’t have to worry about money then Johnny Depp will star in Pirates of the Caribbean IV. If he has to worry about money then Johnny Depp will not star in in Pirates of the Caribbean IV.