Conditionals, Inductive and Deductive Reasoning

When taking the converse of a statement we_____ the hypothesis and the conclusion.

• negate
• highlight
• switch
• switch and negate

When taking the inverse of a statement, we_______ the hypothesis and the conclusion.

• negate
• switch
• switch and negate
• keep 

Tags

CCSS.HSF.BF.B.4

When taking the contapostive of a statement, we_______ the hypothesis and the conclusion.

• negate

• switch

• switch and negate

• keep

What is the hypothesis of the given Conditional Statement?

• Jimmy will go to Orlando
• Jimmy goes on vacation
• Jimmy will go to Orlando
• Who is Jimmy?

Tags

CCSS.HSS.CP.A.3

What is the conclusion to this?

• Clarkson will be the coolest
• Clarkson will not be the coolest
• Clarkson gives us Mountain Dew
• Clarkson will not give us Mountain Dew

What is the converse to this statement?

• If it isn't dark outside, then it is not night.
• If it is night, then it is dark outside
• If it is not night, then it is not dark outside.
• It is night.

What is the inverse to this statement?

• If you live in Canada, you live in Montreal
• If you don't live in Montreal, then you don't live in Canada.
• If you don't live in Canada, you don't live in Montreal.
• Montreal is in Brazil.

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.

Tags

CCSS.HSS.CP.A.1

Which law of deductive reasoning is being used, if any?
If a triangle is equilateral, then all three sides are congruent. 
If all the sides of a triangle are congruent, then the angles opposite them are congruent. 
Therefore, if a triangle is equilateral, then the angles opposite the sides are congruent.

• Law of Detachment
• Law of Syllogism
• Law of the Contrapositive
• Not valid

Which law of logic is this:
If I buy a dress, then I won't get chips.
I bought a dress.
Therefore, I won't get chips.

• Law of Detachment
• Law of Contrapositive
• Law of Syllogism
• Law of Biconditional