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Conditional Statements • Called if-then statements. • Hypothesis- The part following if. • Conclusion- The part following then. * Do not include if and then in the hypothesis and conclusion. Hypothesis and Conclusion • If you are not satisfied for any reason, then return everything within 14 days for a full refund. Try These • If it is Saturday, then Elise plays soccer. – Hypothesis– Conclusion- it is Saturday Elise plays soccer • If points are collinear, then they lie on the same line. – Hypothesis– Conclusion- points are collinear they lie on the same line Listen to conditionals. Converse • The converse of a conditional statement is formed by exchanging the hypothesis and the conclusion in the conditional. – Conditional- If a figure is a triangle, then it has three angles. – Converse- If a figure has three angles, then it is a triangle. * The converse does not have to be true. • Conditional- If a figure is a square, then it has four sides. • Converse- If a figure has four sides, then it is a square. * Not all four sided figures are squares. Rectangles also have four sides. Rewrite the statement as a conditional statement, then find the converse. • All members of Congress are U.S. citizens. • Conditional- If you are a member of Congress, then you are a U.S. citizen. • Converse- If you are a U.S. citizen, then you are a member of Congress. Inverse • The inverse of a conditional statement is formed by negating both the hypothesis and the conclusion in the conditional (Add “NOT”) Conditional- If a figure is a triangle, then it has three angles. – Inverse- If a figure is not a triangle, then it does not have three angles. Contrapositive • The contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion of the converse. (SWITCH the order and add NOT) – Conditional- If a figure is a triangle, then it has three angles. – Contrapositive- If it does not have three angles, then a figure is not a triangle. • Turn to page 5 in your packet. Try this: (page 6 in your packet) • From the following conditional statement, give the –Hypothesis If a figure has –Conclusion five sides, then it –Converse is a pentagon. –Inverse –Contrapositive Try this • From the following conditional statement, give the If a figure has five sides, then it is a pentagon. 1. Hypothesis: a figure has five sides 2. Conclusion: it is a pentagon 3. Converse: If a figure is a pentagon, then it has five sides. 4. Inverse: If a figure does not have five sides, then it is not a pentagon. 5. Contrapositive: If a figure is not a pentagon, then it does not have five sides.

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