TEKS.MATH.9-12.VIII.B

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

• 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

Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.

• If angles are congruent.
• Angles are congruent.
• Then the measures of the angles are equal.
• The measures of the angles are equal.

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TEKS.MATH.9-12.VIII.B

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

• Converse
• Inverse
• Contrapositive
• Negation

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TEKS.MATH.9-12.VIII.B

p→q
p
∴q
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

Since all humans are mortal, and I am human, then I am mortal. 

• Deductive
• Inductive

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TEKS.MATH.9-12.VIII.B

What is the converse of the following statement?
If it is Saturday, then the school is closed

• If the school is closed, then it is Saturday.
• If it is not Saturday, then the school is not closed.
• If the school is not closed, then it is not Saturday.

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TEKS.MATH.9-12.VIII.B

What is the biconditional statement of the following conditional statement?
“If Shelly lives in Texas, then she lives in the United States.”

• If Shelly lives in Texas, then she lives in the United States.
• If Shelly lives in the United States, then she lives in Texas.
• Shelly lives in Texas if and only if she lives in the United States.
• If Shelly does not live in Texas, then she does not live in the United States.

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TEKS.MATH.9-12.VIII.B

An example that shows a statement is false:

• hypothesis

• conclusion

• counterexample

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TEKS.MATH.9-12.VIII.B

Using the Law of Detachment, draw a conclusion based on the statements given:

If a plane flies to China, then it will be a long flight. Sarah bought a ticket to China.

• Sarah will get stuck in the security line.

• Sarah will have a long flight.

• Sarah will need to bring a neck pillow and headphones.

• Sarah will get stuck with a middle seat on the plane.

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TEKS.MATH.9-12.VIII.B

Using the Law of Syllogism, write a new conditional statement that follows from the pair of true statements.

If you study, then you will pass the test. If you pass the test, then you will pass the class.

• If you study, then you will pass the class.

• If you pass the test, then you should study.

• If you pass the class, then you will pass the test.

• If you study, then you will pass the test.

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TEKS.MATH.9-12.VIII.B