1 / 8

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

thao
Download Presentation

Chapter 2.3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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.

More Related