Geometry Section 2-2 and 2-3 Conditional Statements

conditional statement

A statement that can be written in if-then form. "if p, then q"

if-then statement

Statement that can be written in the form "if p, then q".

biconditional statement

a single true statement that combines a true conditional and its true converse. It can be written by joining the two parts of each conditional with the phrase "if and only if" This can also be formed by joining the true conditional and the true converse with the phrase "if and only if" Written like such: "p----->q" and "q------>p" AS " p<----->q"

converse

formed by exchanging the hypothesis and conclusion of the conditional Examples are: "if q, then p" when the conditional is "if p, then q"

inverse

formed by negating both the hypothesis and conclusion of the conditional Example: "if not p, then not q", when the conditional is "if p, then q"

contrapositive

formed by negating both the hypothesis and conclusion of the converse statement Example: "if not q, then not p" when the conditional is "if p, then q"

related conditionals

other statements based on a given conditional statement

logically equivalent

statements that have the same truth values

hypothesis

the phrase immediately following the word "if"

conclusion

the phrase immediately following the word "then"