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Conditional Statements

Conditional Statements. If…then. Conditional Statement. Conditional statement has two parts, hypothesis and a conclusion. If _____________, then ____________. * Do not include if and then in the hypothesis and conclusion. hypothesis. conclusion. Hypothesis and Conclusion.

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Conditional Statements

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  1. Conditional Statements If…then.

  2. Conditional Statement • Conditional statement has two parts, hypothesis and a conclusion. • If _____________, then____________. * Do not include if and then in the hypothesis and conclusion. hypothesis conclusion

  3. Hypothesis and Conclusion • If a figure is a rectangle, then the diagonals are congruent.

  4. Identify the hypothesis & conclusion • If it is Saturday, then Mary plays soccer. • Hypothesis: • Conclusion: • If points are collinear, then they lie on the same line. • Hypothesis: • Conclusion: It is Saturday Mary plays soccer Points are collinear They lie on the same line

  5. Negation It is the OPPOSITE of the original statement. Usually you just need to add the word “not”.

  6. Types of Statements Make flashcards and memorize these • Conditional • Inverse • Converse • Contrapositive

  7. Conditional • If…then.

  8. Inverse Go IN and negate • Negates hypothesis and conclusion

  9. Converse Like kids trying to put on their own shoes. • Swaps the order of the hypothesis and conclusion

  10. Contrapositive Longest word so you do everything to it • Swaps and negates

  11. Find the Inverse Conditional- If a figure is a rectangle, then the diagonals are congruent. • Inverse- If a figure is not a rectangle, then the diagonals are not congruent.

  12. Find the Converse • Conditional- If a figure is a rectangle, then the diagonals are congruent. • Converse- If the diagonals are congruent, then it is a rectangle.

  13. Find the Contrapositive • Conditional- If a figure is a rectangle, then the diagonals are congruent. • Contrapositive- If the diagonals are not congruent, then a figure is not a rectangle.

  14. Rewrite the statement as a conditional statement, inverse, converse, and contrapositive. Today is Wednesday and we will have homeroom. • Conditional- • Inverse - • Converse- • Contrapositive - If today is Wed., then we will have HR. If today is not Wed., then we won’t have HR. If we have HR, then it is Wed. If we don’t have HR, then it is not Wed.

  15. Find the Converse of: If I receive a scholarship, then I will go to college. If I go to college, then I will receive a scholarship.

  16. Find the Inverse of: If Todd runs a marathon, then he will feel exhausted. If Todd doesn’t run a marathon, then he won’t feel exhausted.

  17. Find the Contrapositive of: If a quadrilateral is a rhombus, then it is equilateral. If a quadrilateral is not equilateral, then it is not a rhombus.

  18. Find the Converse of: If Karen practices, then she will win the race. If Karen wins the race, then she practices.

  19. Find the Inverse of: If the race is not difficult, then Karen will win. If the race is difficult, then Karen won’t win.

  20. Find the Contrapositive of: If it rains, then the game is cancelled. If the game is not cancelled, then it didn’t rain.

  21. Law of Detachment If p  q is a true statement… And0 p is a true statement… then q is a true statement

  22. Law of Detachment • Ex- If you are tardy 3 times, then you must go to dention. • Steve is in detention… • What conjecture can you make? • Is it true?

  23. Law of Syllogism • If p  q • If q  r • Then… if p r

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