Ch.2 Review: Reasoning and Proofs

Which of the following is the CONVERSE of the statement below?

If your grade is a 96, then you are

making an A.

• If you are making an A, then your grade is a 96.

• If you are not making an A, then your grade is not a 96.

• If your grade is not a 96, then you are not making an A.

• There is no converse of the statement.

Which of the following is the INVERSE of the statement below?

If an object is a battery, then it is

rechargeable.

• If an object is not a battery, then it is not

  rechargeable.

• If an object is rechargeable, then it is not a battery.

• If an object is not rechargeable, then it is not a battery.

• There is no inverse of the statement.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species walks on two feet, then

it is human.

• If a species is not human, then it does not walk on two feet.

• If a species is human, then it walks on two feet.

• If a species does not walk on two feet, then it is not human.

• There is no contrapositive of the statement.

Which property justifies the step in solving the equation?

x − 12 = 40 Given

x = 52 ?

• Addition Property of Equality

• Substitution Property of Equality

• Multiplication Property of Equality

• Distributive Property

Tags

CCSS.HSA.REI.A.1

Which property justifies the step in solving the equation?

−7y = 56 Given

y = −8 ?

• Addition Property of Equality

• Symmetric Property of Equality

• Reflexive Property of Equality

• Division Property of Equality

Tags

CCSS.HSA.REI.A.1

Name the property of equality that the statement illustrates:

x = x

• Reflexive Property of Equality

• Symmetric Property of Equality

• Substitution Property of Equality

• Transitive Property of Equality

Tags

CCSS.7.EE.A.1

Which property justifies the given statement?

If m∠5 = m∠6, then m∠6 = m∠5.

• Reflexive Property of Equality

• Symmetric Property of Equality

• Transitive Property of Equality

• Distributive Property

What is the Inverse of the statement: If I go to the cafeteria, then I get lunch.

• If I get lunch, then I go to the cafeteria.

• If I do not get lunch, then I do not go to the cafeteria.

• If I do not go to the cafeteria, then I do not get lunch.

• If I do not get lunch, then I do not go to the cafeteria.

What is the converse of the statement:

If you are 13, then you are a teenager.

• If you are not 13, then you are a teenager.

• If you are 13, then you are not a teenager.

• If you are a teenager, then you are 13.

• If you are not a teenager, then you are not 13.

Which symbol means "perpendicular"?

• ∏
• ∥
• ∠
• ⊥

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1