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conditional converse
practice with conditional converse inverse contrapositive statements
Question | Answer |
---|---|
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. |