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5.4 (after 2.1) Inverses and Contrapositives 2010 1 September 10, 2010 Sep 63:15 PM 54 Inverses and Contrapositives Objectives: 1. Write the negation of a statement. 2. Write the inverse and contrapositive of a conditional statement.

54 Inverses and Contrapositives - Poudre School …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Converse: Inverse: Contrapositive: 5.4 (after 2.1) Inverses and Contrapositives

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Page 1: 54 Inverses and Contrapositives - Poudre School …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Converse: Inverse: Contrapositive: 5.4 (after 2.1) Inverses and Contrapositives

5.4 (after 2.1) Inverses and Contrapositives 2010 

1

September 10, 2010

Sep 6­3:15 PM

5­4 Inverses and Contrapositives

Objectives: 1.  Write the negation of a statement.2.  Write the inverse and contrapositive of a conditional statement.

Page 2: 54 Inverses and Contrapositives - Poudre School …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Converse: Inverse: Contrapositive: 5.4 (after 2.1) Inverses and Contrapositives

5.4 (after 2.1) Inverses and Contrapositives 2010 

2

September 10, 2010

Sep 6­3:17 PM

Page 3: 54 Inverses and Contrapositives - Poudre School …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Converse: Inverse: Contrapositive: 5.4 (after 2.1) Inverses and Contrapositives

5.4 (after 2.1) Inverses and Contrapositives 2010 

3

September 10, 2010

Sep 6­3:19 PM

When a statement is false,

Fort Collins is the capital of Colorado.

the NEGATION of the statement is true.

Fort Collins is NOT the capital of Colorado. 

Page 4: 54 Inverses and Contrapositives - Poudre School …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Converse: Inverse: Contrapositive: 5.4 (after 2.1) Inverses and Contrapositives

5.4 (after 2.1) Inverses and Contrapositives 2010 

4

September 10, 2010

Sep 6­3:25 PM

Write the negation of each statement.

a.  Angle ABC is obtuse.

b.  Today is not Tuesday.

Page 5: 54 Inverses and Contrapositives - Poudre School …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Converse: Inverse: Contrapositive: 5.4 (after 2.1) Inverses and Contrapositives

5.4 (after 2.1) Inverses and Contrapositives 2010 

5

September 10, 2010

Sep 6­3:29 PM

Writing Inverse and Contrapositive

Page 6: 54 Inverses and Contrapositives - Poudre School …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Converse: Inverse: Contrapositive: 5.4 (after 2.1) Inverses and Contrapositives

5.4 (after 2.1) Inverses and Contrapositives 2010 

6

September 10, 2010

Sep 6­3:30 PM

Write the converse, inverse, and contrapositive of the following conditional.

Conditional:  If you don't stand for something, you'll fall for anything.

Converse:

Inverse:

Contrapositive:

Page 7: 54 Inverses and Contrapositives - Poudre School …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Converse: Inverse: Contrapositive: 5.4 (after 2.1) Inverses and Contrapositives

5.4 (after 2.1) Inverses and Contrapositives 2010 

7

September 10, 2010

Sep 6­3:30 PM

Write the converse, inverse, and contrapositive of the following conditional.

Conditional: If it's raining outside, then the sidewalks are wet.

Converse:

Inverse:

Contrapositive:

Page 8: 54 Inverses and Contrapositives - Poudre School …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Converse: Inverse: Contrapositive: 5.4 (after 2.1) Inverses and Contrapositives

5.4 (after 2.1) Inverses and Contrapositives 2010 

8

September 10, 2010

Sep 6­3:34 PM

A conditional and its contrapositive will ALWAYS have the same truth value.

Page 9: 54 Inverses and Contrapositives - Poudre School …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Converse: Inverse: Contrapositive: 5.4 (after 2.1) Inverses and Contrapositives

5.4 (after 2.1) Inverses and Contrapositives 2010 

9

September 10, 2010

Sep 6­3:35 PM

Page 10: 54 Inverses and Contrapositives - Poudre School …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Converse: Inverse: Contrapositive: 5.4 (after 2.1) Inverses and Contrapositives

5.4 (after 2.1) Inverses and Contrapositives 2010 

10

September 10, 2010

Sep 6­3:36 PM

Homework

p. 283 #1­9, 34­37, 42­45