TEKS.MATH.9-12.VIII.B

What is the inverse?
If Jason does not go out to dinner, then he will come to the volleyball game.

• If Jason goes out to dinner, then he will not come to the volleyball game.
• If Jason comes to the volleyball game, then he will not go out to dinner.
• If Jason comes to the volleyball game, then he will go out to dinner.
• If Jason does not go out to dinner, then he will not come to the volleyball game.

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TEKS.MATH.9-12.VIII.B

Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.

• Converse
• Inverse
• Contrapositive
• Negation

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TEKS.MATH.9-12.VIII.B

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

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TEKS.MATH.9-12.VIII.B

What is the contrapositive to this?

• If the food is not cooked, then it is not in the oven.
• If the food is not in the oven, then it is not cooked.
• If the food is cooked, then its in the oven.
• If food is not in the oven, then its cooked.

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TEKS.MATH.9-12.VIII.B

All observed houses on South Street have roofs that are falling apart.  Sherry lives on South Street.  Her roof is falling apart. 

• Deductive
• Inductive

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TEKS.MATH.9-12.VIII.B

When taking the inverse we _____________ the hypothesis and conculsion

• negate
• switch
• switch and negate
• keep the same

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TEKS.MATH.9-12.VIII.B

p→q
q→r
∴p→r
Which law is modeled?

• Law of Syllogism
• Law of Detachment
• Law of Contrapositive
• Law of Shannon

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TEKS.MATH.9-12.VIII.B

What can be concluded from the following statements?
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.

• If Tom goes fishing then he catches a fish.
• If Tom brings his pole then he goes fishing
•  If Tom catches a fish then he brought his pole.
• If Tom brings his pole then he catches a fish.

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TEKS.MATH.9-12.VIII.B

A way to reach a conclusion using reasoning:

• Proof

• hypothesis

• counterexample

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TEKS.MATH.9-12.VIII.B

Underline the hypothesis and italicize the conclusion in each statement.

• If your dog eats Purina, then he’ll stay happy and healthy.

• If your dog eats Purina, then he’ll stay happy and healthy.

• If your dog eats Purina, then he’ll stay happy and healthy.

• If your dog eats Purina, then he’ll stay happy and healthy.

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TEKS.MATH.9-12.VIII.B