Mrs. Kim's Conditional Statements

A conditional statement is a logical statement that has two parts: a hypothesis (p) and a conclusion (q), typically expressed in the form "If p, then q."

The converse of a conditional statement "If p, then q" is "If q, then p."

A biconditional statement is a statement that combines a conditional statement and its converse, expressed as "p if and only if q" (p ↔ q).

The contrapositive of a conditional statement "If p, then q" is "If not q, then not p" (¬q → ¬p).

The inverse of a conditional statement "If p, then q" is "If not p, then not q" (¬p → ¬q).

The negation of a statement is the opposite of the statement. For example, the negation of "It is raining" is "It is not raining."

Two angles are congruent if they have the same measure in degrees.

The conclusion is the part of the conditional statement that follows the 'then.' In "If p, then q," q is the conclusion.

The hypothesis is the part of the conditional statement that follows the 'if.' In "If p, then q," p is the hypothesis.

In a statement of the form "If p, then q," p is the hypothesis and q is the conclusion.