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conditional statement

a logical statement with a hypothesis and conclusion

if-then form

if-hypothesis conclusion


switch the hypothesis and the conclusion


negate the hypothesis and the conclusion


negate the hypothesis and conclusion in your converse statemnt

biconditional statement

if p then q, and q then p; the the statement is biconditional

additional 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 c doesn't =0, 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 a=b, then a can be substituted for b in any equation or expression

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