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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

Chapter 2.3

Conditional Statements

Objective: Be able to recognize conditional statements and write converse, inverse and countrapositive statements

conditional statements process
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
conditional statements
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

conditional statements truth
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

conditional statements2
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
practice assignment
Practice Assignment
  • Page 111, 40 - 62 Even
check your practice
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.