Chapter 2.3

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Chapter 2.3 - PowerPoint PPT Presentation

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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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
• If you finish college then
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?
• 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 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
• Page 111, 40 - 62 Even

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.