Warm UP Law of Detachment & Law of Syllogism

Determine whether the conclusion following the given statements is justified by the Law of Detachment or the Law of Syllogism. If neither, write invalid. Given: If I drive over the speed limit, then I will get a ticket. Given: I drove over the speed limit. Conclusion: I got a ticket.

• Law of Detachment

• Law of Syllogism

• Invalid

Determine whether the conclusion following the given statements is justified by the Law of Detachment or the Law of Syllogism. If neither, write invalid. Given: If Amanda goes to the restaurant, then she will order a hamburger. Given: If she orders a hamburger, then she will get fries. Conclusion: If Amanda goes to the restaurant, then she will get fries.

• Law of Detachment

• Law of Syllogism

• Invalid

Determine whether the conclusion following the given statements is justified by the Law of Detachment or the Law of Syllogism. If neither, write invalid. Given: If it snows, then I will wear my snow boots. Given: If it snows, then I will not go to school that day. Conclusion: If I do not go to school, then I will wear my snow boots.

• Law of Detachment

• Law of Syllogism

• Invalid

Determine whether the conclusion following the given statements is justified by the Law of Detachment or the Law of Syllogism. If neither, write invalid. Given: If Tina goes to the beach, she will wear sunscreen. Given: Tina goes to the beach. Conclusion: Tina will wear sunscreen.

• Law of Detachment

• Law of Syllogism

• Invalid

Determine whether the conclusion following the given statements is justified by the Law of Detachment or the Law of Syllogism. If neither, write invalid. Given: If you get a cold, then you eat chicken soup. Given: You ate chicken soup. Conclusion: You must have a cold.

• Law of Detachment

• Law of Syllogism

• Invalid

Determine whether the conclusion following the given statements is justified by the Law of Detachment or the Law of Syllogism. If neither, write invalid. Given: If two angles form a linear pair, then they are supplementary. Given: If two angles are supplementary, then the sum of their measures is 180°. Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.

• Law of Detachment

• Law of Syllogism

• Invalid

Match the following.

• Law of Detachment

• 
• Law of Contrapositive

• 
• Law of Syllogism

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