Conditional and Biconditional Statements Conditional Statement: a statement written in if-then form. The “if” part is the hypothesis (p) and the “then” part is the conclusion (q). Symbol: → Read: “If p, then q.” « Conditional statements can be True or False Counterexample: at least one fact or argument that indicates a statement or theorem is NOT true. Rewrite the conditional statement in if-then form. Identify the hypothesis and conclusion. Two points are collinear if they lie on the same line. If two points lie on the same line, then they are collinear. Hypothesis: Two points lie on the same line Conclusion: They are collinear Write a counterexample to show that the following conditional statement is false. ! = 16, ℎ = 4 Let = −4 The hypothesis is true because −4 ! = 16 The conclusion is false, so the conditional statement is false Converse: a conditional statement formed by switching the hypothesis and conclusion. Symbol: → Read: “If q, then p.” Statement: If you see lightning, then you hear thunder. Converse: If you hear thunder, then you see lightning.