Transcript Section 5.4 Review Inverse and Contrapositive *Click your way through this lesson* Objective • State Standard • G.1.D To write the converse, inverse, and contrapositive of a.

Section 5.4 Review
Inverse and Contrapositive
*Click your way through this lesson*
Objective
• State Standard
• G.1.D To write the converse,
inverse, and contrapositive of
a valid proposition and
determine their validity.
Negation
Negation
Salem is the capitol
of Washington State
False
Negation
Salem is not the
Capitol of
Washington State
True
Negation
What is the negation
of these statements?
1.
2.
3.
4.
∆ABC is a right triangle.
<ABC is an acute angle.
Lines m and n are perpendicular.
Lines q and r are not parallel.
Negation
What is the negation
of these statements?
1.
2.
3.
4.
∆ABC is NOT a right triangle.
<ABC is NOT an acute angle.
Lines m and n are NOT perpendicular.
Lines q and r ARE parallel.
Inverse
Conditional:
If A, then B.
Inverse:
If not A, then not B.
Inverse
• Conditional:
If a figure is a square,
then it is a rectangle.
True?.... Yes
Square: a four
sided figure with
all sides
congruent and
all angles
congruent.
Rectangle: a four sided
figure with all angles
congruent.
• Inverse:
Inverse
If a figure is not a square
then it is not a rectangle.
True?.... No
Square: a four
sided figure with
all sides
congruent and
all angles
congruent.
Rectangle: a four sided
figure with all angles
congruent.
Inverse
• Conditional:
•
If a figure is a square,
then it is a rectangle. True
Inverse:
If a figure is not a square
then it is not a rectangle.
False
Inverse
• 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
• Conditional Statement: If you are a
sailor, then you can swim.
• Converse Statement:
If you can swim,
then you are a sailor.
• Inverse Statement:
If you are not a
sailor, then you cannot swim.
Contrapositive
Contrapositive
• Conditional:
If A, then B.
• Inverse:
If not A, then not B.
• Contrapositive
If not B, then not A.
Contrapositive
• If you are a sailor, then you can
swim.
• If you cannot swim, then you are not
a sailor.
Contrapositive
• Conditional:
If A, then B.
• Inverse:
If not A, then not B.
• Contrapositive
If not B, then not A.
Check Your
Understanding
• “If you run everyday, then you will get in
shape.”
• Write the converse, inverse and
contrapositive of this statement:
Check Your
Understanding
• “If you run everyday, then you will get
in shape.”
• 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.
What you Should
Know
• Be able to recognize:
• Conditional
• Converse
• Inverse
• Contrapositive
What you Should
Know
If you are still confused or would like more
information, check out this video.
Assignment
• Pg 283, 1-19 odd and # 22
References
How to draw navy ships in 8 steps. [Web].
Retrieved from
http://tlc.howstuffworks.com/family/howto-draw-navy-ships.htm
Jsovick. (Producer). (2011). G1d
converse, inverse, and contrapositive.
[Web]. Retrieved from
http://www.youtube.com/watch?v=gvlws
ADUO08