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Warm up Find the perimeter of the following: A triangle with side lengths of (x + 2)

Warm up Find the perimeter of the following: A triangle with side lengths of (x + 2) A rectangle with dimensions x and (4x – 3) A square whose area is x². 2.2 Conditional statements.

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Warm up Find the perimeter of the following: A triangle with side lengths of (x + 2)

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  1. Warm up Find the perimeter of the following: A triangle with side lengths of (x + 2) A rectangle with dimensions x and (4x – 3) A square whose area is x²

  2. 2.2 Conditional statements • Objective: To identify, write analyze the truth value of conditional statements. Write inverse converse and contrapositive of a conditional statement. Is it true?

  3. Ex. If it is 2:59pm, then the bell rings It is 2:59pm The bell rings

  4. If a butterfly has a curved black line on its hind wing, then it is a viceroy. Hypothesis: Conclusion: A number is an integer if it is a natural number. Hypothesis: Conclusion:

  5. Every conditional statement is either true or false. (False - IF hypothesis is true and conclusion is false) Determine if each conditional statement is true. If it is false, give a counterexample.

  6. conditional statement If p then q If q then p If not p then not q If not q then not p

  7. Converse (q → p): Inverse (~p → ~q): Contrapositive (~q → ~p):

  8. Converse (q → p): Inverse (~p → ~q): Contrapositive (~q → ~p):

  9. Related conditional statements that have the same truth value

  10. HW: pg. 84 #’s 3 – 12, 23 – 29

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