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practice with conditional converse inverse contrapositive statements

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Question
Answer
ADDITION property   If a = b, then a + c = b + c  
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SUBTRACTION property   If a = b , then a - c = b - c  
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MULTIPLICATION property   If a = b, then ac = bc  
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DIVISION property   If a = b, then a/c = b/c  
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REFLEXIVE property   For any real number a, a = a.  
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SYMMETRIC property   If a = b, then b = a.  
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TRANSITIVE property   If a = b and b = c, then a = c.  
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SUBSTITUTION property   If c = b, then c may be substituted for b in any equation or expression.  
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The conditional statement of "All cats have 4 legs."   If something is a cat, then it has 4 legs.  
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DISTRIBUTIVE property   a(b + c) = ab + ac  
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The converse statement of "If something is a cat, then it has 4 legs."   If something has 4 legs, then it is a cat.  
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The contrapositive statement of "If something is a cat, then it has 4 legs."   If something does not have 4 legs, then it is not a cat.  
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The inverse statement of "If something is a cat, then it has 4 legs."   If something is not a cat, then it does not have 4 legs.  
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The counterexample statement of "If something has 4 legs, then it is a cat."   A dog has 4 legs.  
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Created by: jprewitt
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