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Chapter 2.3

Chapter 2.3. Conditional Statements. Objective: Be able to recognize conditional statements and write converse, inverse and countrapositive statements. Conditional Statements - process. If – then Hypothesis – Conclusion If you finish high school then

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Chapter 2.3

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  1. Chapter 2.3 Conditional Statements Objective: Be able to recognize conditional statements and write converse, inverse and countrapositive statements

  2. Conditional Statements - process • If – then • Hypothesis – Conclusion • If you finish high school then • you increase your lifetime earning potential by $1million • If you finish college then • you increase your lifetime earning potential by $3million

  3. Conditional Statements • If – then • Hypothesis – Conclusion • If points A, B, and C lie on a line then they are collinear. • An angle with a measure greater than 90 is an obtuse angle. Perpendicular lines intersect Two lines are perpendicular They intersect

  4. Conditional Statements – Truth? • Statement – if you get 100%, then your teacher will give you an A • If you get 100% correct, your teacher gives you an A. • If you get 100% correct, your teacher gives you a B. • You get 98%, your teacher gives you an A. • You get 85% correct then your teacher gives you a B. TRUE False True, can’t say not True, can’t say not

  5. Conditional Statements

  6. Conditional Statements • Conditional Statement If two angles form a linear pair, then they are supplementary. • Converse Statement • If two angles are supplementary, they form a linear pair • FALSE • Inverse Statement • If two angles do not form a linear pair, then they are not supplementary • False • Contrapositive • If two angles are not supplementary, they do not form a linear pair. • True

  7. Practice Assignment • Page 111, 40 - 62 Even

  8. Check your practice Page 111, 40 - 62 Even 50. If a figure is a rectangle, then it is a square. false. If a figure is not a square, then it is not a rectangle. false. If a figure is not a rectangle, then it is not a square. true. 54. Converse true 56. Contrapositive False 60. False 62. 40. True 42. False 44. False 46. True 48. Converse: If a bird cannot fly, then it is an ostrich. false. Counterexample: The bird could be a penguin. • Inverse: If a bird is not an ostrich, then it can fly. The inverse is false. • Counterexample: The bird could be a penguin. • Contrapositive: If a bird can fly, then the bird is not an ostrich; true.

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