Target 3: I can write the inverse of a
conditional statement in words.
(section 2.2)
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DEFINITION:
INVERSE: Negate the hypothesis and conclusion.
Example:
Conditional: If I don't do my homework, then I
will get a zero.
Inverse:
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What is the inverse of:
If I am not happy then I eat ice cream.
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Target 4: I can write the contrapositive of
a conditional statement in words.
(section 2.2)
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DEFINITION:
CONTRAPOSITIVE: switch and negate the hypothesis
and conclusion of a conditional statement.
Example:
Conditional: If I don't do my homework, then I will get
a zero.
Contrapositive:
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Example:
1. Identify the hypothesis and conclusion.
2. Write the converse.
3. Write the inverse.
4. Write the contrapositive.
5. Determine if each statement is true or false
Statement: If it is raining, then it is cloudy.
1. Hypothesis: it is raining
Conclusion: it is cloudy
2. If it is cloudy, then it is raining
3. If it is not raining, then it is not cloudy.
4. If it is not cloudy, then it is not raining.
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Your Turn:
1. Write the statement.
2. Write the converse.
3. Write the inverse.
4. Write the contrapositive.
5. Determine if each statement is true or false
Hypothesis: I don't study
Conculsion: I fail the test.
1. If I don't study, I will fail the test.
2. If I fail the test, then I didn't study.
3. If I study, then I won't fail the test.
4. If I don't fail the test, then I studied.
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MATCHING:
Statement: If I water the grass, it will grow.
1.) If the grass grows, then I watered it.
2.) I the grass doesn't grow, then I didn't water it.
3.) If I don't water the grass, then it won't grow.
A. Inverse
B. Converse
C. Contrapositive
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Dogs bark.
is a dog, it will bark.
if the dogs are outside, then they bark
if you hear a bark, then it's a dog
if it's a bark, then you'll know it's a dog
it barks, then it is a dog
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If you text while driving, then you will have a wreck
Converse:
If you have a wreck
then you were
texting
while driving
You will have a
wreck if you text
while driving.
If you don't text
while driving, then
you won't have a
wreck.
If you text while
you're behind the
wheel, then you'll
have a wreck
Inverse:
If you have a
wreck, then you
were texting
while driving.
If you don't text
while driving,
then you will not
have a wreck.
If I don't have a
wreck, then I will
text while
driving.
Contrapositive:
If you don't have a
wreck, then you were
not texting and
driving.
If you were in a
wreck, then you
might have been
texting.
If I don't text while
driving, I won't get
into a wreck.
If you're driving,
then don't text so
you don't wreck.
If you have a
wreck, then you
will know not to
text and drive at
the same time
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If Mrs. Hoormann forgets your name, then she will make one up for you.
Converse: If Mrs. Hoormann makes up a name for you, then she
forgot your name
Inverse: If Mrs. Hoormann doesn't forget your name, then she will
not make one up for you.
Contrapositive: If Mrs. Hoormann doesn't make up a name for
you, then she did not forget your name.
Add to homework...
18. If you practice everyday, then you will be
successful.
19. If I earn all of my credits, then I will graduate.
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