

1. 
Which law states that if and are true conditionals, then is also true? 


A. 
Law of Deductive Reasoning 
B. 
Law of Conditionals 


C. 
Law of Detachment 
D. 
Law of Syllogism 


Hint 


2. 
The ______ states that if is a true conditional and p is true, then q is true. 


A. 
Law of Syllogism 
B. 
Law of Detachment 


C. 
Law of Deductive Reasoning 
D. 
Law of Conditionals 


Hint 


3. 
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 the sum of the measures of two angles is 180, then the angles form a linear pair. 
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 two angles are supplementary, then the sum of the measures of the angles is 180. 


Hint 


4. 
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 


5. 
The statements ''If Eric reads the book, he will be prepared for the exam'' and ''If Eric is prepared for the exam, he will get a passing grade'' are two conditionals. Use the Law of Syllogism to reach a logical conclusion. 


A. 
If Eric reads the book, then he will get a passing grade. 
B. 
If Eric prepares for the exam, then he will read the book. 


C. 
no logical conclusion. 
D. 
If Eric gets a passing grade, then he did prepare for the exam. 


Hint 


