Geometry Practice Test 7

(1) An angle is defined as the space between two rays that emanate from the same point.    
    (a) True        (b)  False    (c) Neither    

(2) The statement is an example of a contradiction.    
    (a) True        (b)  False    (c) Neither    

(3) The negation of the statement "If 3 is an odd number, then 9 is even" is the statement "If 3 is an odd number, then 9 is odd."    
    (a) True        (b)  False    (c) Neither    

(4) The following two statements are logically equivalent: If   then and have no point in common. If and have a point in common, then and are not parallel.    
    (a) True        (b)  False    (c) Neither    

(5) A triangle is defined as:  A union of three line segments.    
    (a) True        (b)  False    (c) Neither    

(6) Which of the following are not tautologies:    
       (a)         (b)          (c)        
       (d)         (e)  all of them               

(7) Which of the following is equivalent to the contrapositive of  
     (a)       (b)          (c)       (d)         (e)  none of these     

(8) Given a line define an external point of and an internal point of Prove that there does not exist a point that is both an exterior and an interior point of any line

(9) Prove the following statement is true: If is any point, then there exist points and such that , and are noncollinear.

(10) Prove the following statement is true: If is any line, then there exist lines and such that and are distinct and both and intersect

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