Day 3 Notes 2­3 Conditional Statements
PAPGeometry
Section 2­3
Notes 4
Name_________________________
Date__________________Per_____ http://www.you
Symbol: "p q"
Read: " p implies q" or " if p, then q "
A statement that can be written in if ­ then form.
the phrase immediately following the word if.
Symbol: p
the phrase immediately following the word then.
Symbol: q
If an animal is an apes, then it loves bananas.
If two angles are complementary, then the sum of their angles is 90.
If points are collinear, then they lie on the same line.
If you change the hypothesis or conclusion of a conditional statement, you form a related conditional.
Symbols Conditional
Example
If
is an acute angle, then m
is 35.
Converse
Inverse
Contrapositive
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Day 3 Notes 2­3 Conditional Statements
Identify each of the following for each of the if­then statements.
Truth Value
Symbols
11. If you make a 100 on the test, then you will get an A.
You make a 100 on the test.
Hypothesis___________________________________________
You will get an A.
Conclusion___________________________________________
If you get an A, then you make a 100 on the test.
Converse____________________________________________
____________________________________________________
93 on the test
If you do not make a 100 on the test, then you will not get an A.
Inverse______________________________________________
____________________________________________________
If you do not get an A, then you do not make a 100 on the test.
Contrapositive_________________________________________
____________________________________________________
12.If it does not have two wheels, then it is not a bicycle.
It does not have two wheels.
Hypothesis___________________________________________
It is not a bicycle.
Conclusion___________________________________________
If it is not a bicycle, then it does not have two wheels.
Converse____________________________________________
scooter
____________________________________________________
motorcycle
If it does have two wheels, then it is a bicycle.
Inverse______________________________________________
____________________________________________________
If it is a bicycle, then it does have two wheels.
Contrapositive_________________________________________
____________________________________________________
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