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Given Points D = (4,5) E = (8,11) X = (6, 8) Write as many conjectures as you can Starter.

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Presentation on theme: "Given Points D = (4,5) E = (8,11) X = (6, 8) Write as many conjectures as you can Starter."— Presentation transcript:

1 Given Points D = (4,5) E = (8,11) X = (6, 8) Write as many conjectures as you can Starter

2 Geometry Chapter 2 section 2 The Conditional Statement

3 A statement in the form If(a condition), then (a second condition) If Dave takes an aspirin then he can walk without a limp

4 Formal Logic Conditional statements are important in Formal Logical Structures All carrots are tubers (Normal English) If it’s a carrot then it’s a tuber (Formal Logic)

5 Put the following into If  Then Fire engines are red Telephone poles are not orange No dogs can go into the theater Angles are less than Non-collinear points cannot be between A and B Snoozels love to kingklip

6 Parts of an If  Then Statement If It is an orange then it is a fruit Hypothesis Conclusion

7 Hypothesis: Conclusion:

8 Find the Hypothesis and the Conclusion 1. If I eat onions then I get sick 2.If it’s a dog it’s sunny on Tuesdays Bill likes dogs Birds can fly People do not like to be told what to do

9 Converse Every conditional statement has a converse Statement: If it’s yellow then it’s a banana Converse: If it’s a banana then it’s yellow

10 Converse Statement: If B is between A and C then AB& C are collinear Converse: If AB& C are collinear then B is between A and C

11 Converse:

12 Negation Statement: Carl is a Firefighter Negation: Carl is not a fire Fighter Statement: Angle G is Acute Negation: Angle G is not Acute (angle G is right or obtuse)

13 Negation:

14 Inverse Every conditional statement has a inverse Statement: If it’s yellow then it’s a banana Converse: If it’s not yellow then it’s not a banana

15 Inverse Statement: If B is between A and C then AB& C are collinear Converse: If B is not between A and C then AB& C are not collinear

16 Inverse:

17 Contrapositive Every conditional statement has a contrapositive Statement: If it’s yellow then it’s a banana Converse: If it’s not a banana then it’s not yellow

18 Contrapositive Statement: If B is between A and C then AB& C are collinear Converse: If AB& C are not collinear then B is not between A and C

19 Contrapositive:

20 Truth? If a statement is true Is the converse true? Is the inverse true? Is the contrapositive true?

21 Do Now! Page 80 – 83 Problems 6 – 17 & 19 – 49 odd 57 – 67 all


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