Part 1-Logic Reasoning Unit 2 Quiz

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. 

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

• If the measures of the angles are equal, then the angles are congruent.
• "If angles are not congruent, then the measures of the angles are not equal."
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.HSG.CO.C.9

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

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.8.G.A.2

What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."

• His mom will have to drive him
• If Johnny is late to school
• Johnny is late to school
• Then his mom will have to drive him

Original: The sky is not blue.
What is this statement: The sky is blue.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.L.2.1F

CCSS.L.1.1J

CCSS.L.4.1C

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.

Tags

CCSS.HSF.BF.B.4

What are the next 2 numbers of this pattern?
23, 27, 31, 35, ___, ___

• 37, 39
• 40, 45
• 39, 43
• 38, 41

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

When can a biconditional statement be true?

• When the inverse and the converse are both true
• When the original statement (conditional statement) & the contrapositive are both true.
• When the converse is true.
• When the original statement (conditional statement) and the converse are both true.

When taking the converse we ___________ the hypothesis and conculsion

• negate
• switch
• highlight
• switch and negate

If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?

• 2/3
• 4/5
• 1/2
• 3/2

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B