Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*
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Transcript of Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*
![Page 1: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/1.jpg)
Section 5.4 ReviewInverse and Contrapositive
*Click your way through this lesson*
![Page 2: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/2.jpg)
Objective
•State Standard
•G.1.D To write the converse, inverse, and contrapositive of a valid proposition and determine their validity.
![Page 3: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/3.jpg)
Negation
![Page 4: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/4.jpg)
Salem is the capitol of
Washington StateFalse
Negation
![Page 5: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/5.jpg)
Salem is not the Capitol of
Washington State
True
Nega
tion
Nega
tion
Negation
![Page 6: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/6.jpg)
What is the negation of these
statements?1. ∆ABC is a right triangle.2. <ABC is an acute angle.3. Lines m and n are perpendicular.4. Lines q and r are not parallel.
Negation
![Page 7: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/7.jpg)
What is the negation of these
statements?1. ∆ABC is NOT a right triangle.2. <ABC is NOT an acute angle.3. Lines m and n are NOT perpendicular.4. Lines q and r ARE parallel.
Negation
![Page 8: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/8.jpg)
Inverse
Conditional:If A, then B.
Inverse:If not A, then not B.
![Page 9: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/9.jpg)
•Conditional:If a figure is a square, then it is a rectangle. True?.... Yes
Inverse
Square: a four sided figure with all sides
congruent and all angles
congruent.
Rectangle: a four sided figure with all angles
congruent.
![Page 10: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/10.jpg)
Inverse
Square: a four sided figure with all sides
congruent and all angles
congruent.
Rectangle: a four sided figure with all angles
congruent.
•Inverse:If a figure is not a square then it is not a rectangle. True?.... No
![Page 11: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/11.jpg)
•Inverse:If a figure is not a
square then it is not a rectangle. False
•Conditional:If a figure is a square,
then it is a rectangle. True
Inverse
![Page 12: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/12.jpg)
•Conditional Statement: If A, then B.
•Converse Statement: If B, then A.
•Inverse Statement: If not A, then not B.
•No Guarantee. Just because the Conditional is true that the Converse or Inverse are true.
Inverse
![Page 13: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/13.jpg)
•Conditional Statement: If you are a sailor, then you can swim.
Inverse
True
False
False
•Converse Statement: If you can swim, then you are a sailor.
•Inverse Statement: If you are not a sailor, then you cannot swim.
![Page 14: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/14.jpg)
Contrapositive
![Page 15: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/15.jpg)
Contrapositive
•Conditional:If A, then B.
•Inverse:If not A, then not B.
•ContrapositiveIf not B, then not A.
![Page 16: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/16.jpg)
Contrapositive
•If you are a sailor, then you can swim.
•If you cannot swim, then you are not a sailor.
True
True
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Contrapositive
•Conditional:If A, then B.
•Inverse:If not A, then not B.
•ContrapositiveIf not B, then not A.
Not nece
ssarily
true
Not nece
ssarily
true
Always t
rue
Always t
rue
![Page 18: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/18.jpg)
Check Your Understanding
•Write the converse, inverse and contrapositive of this statement:
•“If you run everyday, then you will get in shape.”
![Page 19: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/19.jpg)
Check Your Understanding
•“If you run everyday, then you will get in shape.”
Converse
Converse
Inverse
Inverse
Contraposit
ive
Contraposit
ive
•If you get in shape, then you run everyday.
•If you don’t run everyday, then you will not get in shape.
•If you don’t get in shape, then you did not run everyday.
![Page 20: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/20.jpg)
What you Should Know
•Be able to recognize:
•Conditional
•Converse
•Inverse
•Contrapositive
![Page 21: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/21.jpg)
What you Should Know
If you are still confused or would like more information, check out this video.
![Page 22: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/22.jpg)
Assignment
•Pg 283, 1-19 odd and # 22
![Page 23: Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson*](https://reader038.fdocuments.us/reader038/viewer/2022110206/56649cdb5503460f949a5eb5/html5/thumbnails/23.jpg)
ReferencesHow to draw navy ships in 8 steps.
[Web]. Retrieved from http://tlc.howstuffworks.com/family/how-to-draw-navy-ships.htm
Jsovick. (Producer). (2011). G1d converse, inverse, and contrapositive. [Web]. Retrieved from http://www.youtube.com/watch?v=gvlwsADUO08