

1. 
The process of using facts, rules, definitions, or properties in logical order to reach a conclusion is called 


A. 
deductive reasoning 
B. 
inductive reasoning 


C. 
detachment reasoning 
D. 
conjecturing 


Hint 


2. 
Which law states that if and are true conditionals, then is also true? 


A. 
Law of Syllogism 
B. 
Law of Conditionals 


C. 
Law of Deductive Reasoning 
D. 
Law of Detachment 


Hint 


3. 
The ______ states that if is a true conditional and p is true, then q is true. 


A. 
Law of Detachment 
B. 
Law of Syllogism 


C. 
Law of Conditionals 
D. 
Law of Deductive Reasoning 


Hint 


4. 
Which statement follows from statements (1) and (2) by the Law of Syllogism? (1) If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180. (2) If the sum of the measures of two angles is 180, then the angles are supplementary. 


A. 
If two angles are supplementary, then the sum of the measures of the angles is 180. 
B. 
If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180. 


C. 
If two adjacent angles form a linear pair, then the angles are supplementary. 
D. 
If the sum of the measures of two angles is 180, then the angles form a linear pair. 


Hint 


5. 
If it is raining, then Sue and Ian will not go to the football game is a true conditional, and it is raining. Use the Law of Detachment to reach a logical conclusion. 


A. 
Ian will go to the football game if Sue goes. 
B. 
Sue and Ian will go to the football game. 


C. 
Sue and Ian will not go to the football game. 
D. 
The football game will not be played in the rain. 


Hint 


