GEO 9­5­12.notebook
September 05, 2012
Geometry
9/5/12
2.1 Conditional Statements:
"If you come into class after the bell rings, then you are late."
"If you are in the classroom, then your notes should be out."
If you are doing tonight's HW, then you can type it. hypothesis
Conclusion
Conditional statement: a statement that has two parts, a hypothesis and a conclusion.
My mother's name is Caroline.
If it is Mr. Yasuda's mother, then her name is Caroline. Converse: If her name is Caroline,
then it is Mr. Yasuda's mother.
Note: Don't try to put the whole
statement in the hypothesis.
Write the following as a conditional statement.
If the pizza has better
ingredients, then it is better
pizza.
Conditional statements should be written as, "If____________, then_____________."
Converse: If it is better pizza, then the pizza has better ingredients.
Turn into an if-then statement:
• All fish can swim.
If the animal is a fish, then it can swim.
­Converse: If the animal can swim, then it
is a fish.
• Odd numbers are not divisible by two.
If the number is odd, then it is not divisible
by two.
­Converse: If the number is not divisible by
two, then it is odd.
CONVERSE:
a conditional statement formed by switching
the hypothesis and conclusion.
Sep 2­9:04 AM
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GEO 9­5­12.notebook
September 05, 2012
negation: the negative of
a statement.
Inverse: negate the hypothesis and conclusion of the original conditional statement.
If the animal is a fish, then the
animal can swim.
Inverse: If the animal is not a fish, then it cannot swim.
Contrapositive: negate the converse of
the original statement.
Statement: If it is a fish, then it can swim.
To do the contrapositive, then
you must do the converse
first.
converse: If it can swim, then it is a fish.
NOW NEGATE!
Contrapositive: If it cannot swim, then it is not a fish.
Sep 2­10:53 AM
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GEO 9­5­12.notebook
September 05, 2012
conditional statement --> if, then (original)
converse --> switch the hypothesis and
conclusion
inverse --> negate the original.
contrapositive --> negate the converse of the
original.
Sep 5­1:42 PM
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GEO 9­5­12.notebook
September 05, 2012
If you go to Subway, then you will eat fresh.
hypothesis: you go to Subway
conclusion: you will eat fresh
converse: If you eat fresh then you will
go to Subway.
inverse: If you do not go to Subway, then
you will not eat fresh.
contrapositive: If you don't eat fresh,
then you don't go to Subway.
Sep 2­12:05 PM
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