Proofs and Logic Practice_9/10/25

Determine the type of reasoning for the following statement: Sofia notices that the dogs on her street bark at a delivery truck, so Sofia concludes that all dogs bark at delivery trucks.

• Inductive reasoning

• Deductive reasoning

• Analogical reasoning

• Abductive reasoning

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Determine the type of reasoning for the following statement: Florida requires all lawyers to pass the bar exam to practice. If Mark does not pass the bar, then he will not legally be able to represent as their lawyer.

• Deductive reasoning

• Inductive reasoning

• Analogical reasoning

• Abductive reasoning

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

An incomplete proof is shown. Complete the reason for step 2.

• Definition of congruent angles

• Addition Property of Equality

• Vertical Angles Theorem

• Transitive Property of Equality

Tags

CCSS.HSG.SRT.B.5

Which step contains the error? Error Step______

• Step 3

• Step 1

• Step 2

• Step 4

Tags

CCSS.6.EE.B.6

What card, other than a wild card, would correctly complete the steps? Card ______

• Red 3

• Blue 5

• Yellow 7

• Green 2

Tags

CCSS.6.EE.B.6

A statement is shown. “If it is my birthday, then I will eat ice cream.” a. Write the converse of the statement. Converse ______

• If I eat ice cream, then it is my birthday.

• If it is not my birthday, then I will not eat ice cream.

• If I do not eat ice cream, then it is not my birthday.

• If it is my birthday, then I will not eat ice cream.

A statement is shown. “If it is my birthday, then I will eat ice cream.” b. Write a counterexample that shows the converse is not true. Counterexample ______

• I ate ice cream, but it was not my birthday.

• It was my birthday, and I ate cake.

• I did not eat ice cream, and it was not my birthday.

• I ate ice cream on my birthday.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Convert the following statement into an If-Then form: All Floridians have been to the beach. Write your answer in the If-Then column.

• If a person is a Floridian, then they have been to the beach.

• If a person has been to the beach, then they are a Floridian.

• If a person is not a Floridian, then they have not been to the beach.

• If a person has not been to the beach, then they are not a Floridian.

Tags

CCSS.RI.11-12.2

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Convert the following statement into a biconditional statement: The four angles at the point of intersection of two lines are right angles if the intersecting lines are perpendicular.

• The four angles at the point of intersect of two lines are right angles if and only if the lines are perpendicular.

• If two lines are parallel, then all four angles at the point of intersection are right angles.

• If two lines intersect, then only two angles at the point of intersection are right angles.

• If two lines intersect, then all four angles at the point of intersection are acute angles.

For the conditional statement: If Anthony has visited the Southernmost Point Buoy, then he has been to Key West. Identify the Hypothesis and Conclusion.

• Hypothesis: Anthony has visited the Southernmost Point Buoy. Conclusion: He has been to Key West.

• Hypothesis: He has been to Key West. Conclusion: Anthony has visited the Southernmost Point Buoy.

• Hypothesis: Anthony has visited the Southernmost Point Buoy. Conclusion: He has not been to Key West.

• Hypothesis: Anthony has not visited the Southernmost Point Buoy. Conclusion: He has been to Key West.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A