Logic Test Review (Conditional Statements, Laws, & Venn Diagram)

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.

Tags

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.1

CCSS.RI.8.8

If you drink milk, then you will grow.

What do you call the underlined portion in this conditional statement?

• conclusion

• converse

• hypothesis

• inverse

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

If you do your homework, then you will receive snacks.

What do you call the underlined portion in this conditional statement?

• abstract

• conclusion

• generalization

• hypothesis

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

• It snows on Sunday, therefore it rains on Saturday.

• It snows on Sunday or it rains on Saturday.

• If it snows on Sunday, then it rains on Saturday.

• It rains on Sunday or it snows on Saturday.

Tags

CCSS.HSS.CP.A.1

Match the logic symbol and word.

• or

• 
• and

• 
• if then

• 
• therefore

• 
• opposite or not

• 

Tags

CCSS.7.SP.C.8B

Tags

CCSS.8.SP.A.4

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

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will score well on the exam

•  I study for 1 hour each day.
• I do not study for 1 hour each day
• If I do well on the exam, I studied for 1 hour each day.
• not possible

Tags

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.1

CCSS.RI.8.8

What is the inverse of the conditional statement?

Conditional Statement: If a polygon is regular, then its sides are congruent.

• If a polygon’s sides are congruent, then it is regular.

• If a polygon is not regular, then its sides are not congruent.

• If a polygon’s sides are not congruent, then it is not regular.

• A polygon is regular if and only if its sides are congruent.

What is the inverse?

If a number can be divided by 2, then it is even.

• If a number cannot be divided by 2, then it is odd.

• If a number is not even, then it cannot be divided by 2

• If a number can be divided by 2, then it is odd

• If a number is even, then it can be divided by 2.

Tags

CCSS.HSF.TF.B.7