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conditional converse

practice with conditional converse inverse contrapositive statements

QuestionAnswer
ADDITION property If a = b, then a + c = b + c
SUBTRACTION property If a = b , then a - c = b - c
MULTIPLICATION property If a = b, then ac = bc
DIVISION property If a = b, then a/c = b/c
REFLEXIVE property For any real number a, a = a.
SYMMETRIC property If a = b, then b = a.
TRANSITIVE property If a = b and b = c, then a = c.
SUBSTITUTION property If c = b, then c may be substituted for b in any equation or expression.
The conditional statement of "All cats have 4 legs." If something is a cat, then it has 4 legs.
DISTRIBUTIVE property a(b + c) = ab + ac
The converse statement of "If something is a cat, then it has 4 legs." If something has 4 legs, then it is a cat.
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.
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.
The counterexample statement of "If something has 4 legs, then it is a cat." A dog has 4 legs.
Created by: jprewitt