Unit 3: Reasoning and Proof, Unit Review
Paragraph Proof
A paragraph proof is another way a proof is often written.
Biconditional
A single true statement that combines a true conditional and its true converse.
Proof
A step-by-step explanation that uses definitions, axioms, postulates, and previously proved theorems to draw a conclusion about a geometric statement. There are two major types of proofs: direct proofs and indirect proofs.
Conditional
An if-then statement.
Contrapositive
If not q, then not p.
Equivalent Statements
Statements with the same truth value.
Inverse
The inverse of the conditional "if p, then q" is the conditional "if not p, then not q."
Negation
The negation of a statement has the opposite meaning of the original statement.
Hypothesis
The part p following if.
Conclusion
The part q following then.
Converse
The statement obtained by reversing the hypothesis and conclusion of a conditional.