Geometry Flashcards - Conditional Statements

What is a conditional statement?

A statement in the format 'If P, then Q' where P is the hypothesis and Q is the conclusion.

P = hypothesis

Q = conclusion

It’s often written in the form: if p, then q.

What are the forms of conditional statement?

Converse: If q, then p.

Inverse: If not p, then not q.

Contrapositive: If not q, then not p.

What is a counterexample?

An example that proves the conditional statement to be false.

What is a biconditional statement?

A biconditional statement is written when both a conditional and its converse are true.

P if and only if q