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when a conditional and its converse are true, you can combine them as a true statement; an if and only if.


the part following the "then"


an if-then statement


of a conditional switches the hypothesis and the conclusion

Deductive Reasoning

logical reasoning; the process of reasoning logically from given statements to a conclusion


the part following the "if"

Law of Detachment

if a conditional is true and its hypothesis is true, then its conclusion is true.

Law of Syllogism

allows you to state a conclusion from two true conditional statements when the conclusion of one conditional statement is the hypothesis of the other statement.

Paragraph Proof

a written as sentences in a paragraph

Reflexsive Property

a=a/ line AB is congruent to line AB

Symmetric Property

if a=b, the b=a/ if a is congruent to b, then b is congruent to a


a statement that you prove true

Transitive Property

if a=b and b=c, then a=c/ if a is congruent to b and b is congruent to c, then a is congruent to c

Truth Value

The "true" or "false" part of a statement according to whether the statement is true or false, respectively

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