Unit 3 Review (Logic and Reason)

P is true, Q is false

Example: “All berries are red”.

False --> Blackberries, blueberries, etc.

• Counterexample

• Converse

• Inverse

• Contrapositive

• Biconditional Statement

Formal way to justify your answer using statements and reasons that led to your conclusion

• Proof

• Theorem

• Postulate

• Conjecture

Terms that do not require formal definitions”?

Examples: Planes, Lines, Sets, Ray, etc.

• Undefined Term

• Conjecture

• Conclusion

• Hypothesis

Formed by negating the hypothesis and conclusion

• Conditional Statement

• Converse

• Inverse

• Contrapositive

• Biconditional Statement

What does ~ mean?

When is it used?

• Congruent

• NOT

• True

• Yes

What type of statement is this?

P --> Q

”If P, Then Q.”

• Converse

• Inverse

• Conditional

• Biconditional

• Contrapositive

The phrase immediately following the word if

(P)

• Conclusion

• Hypothesis

• Hypotenuse

• Counterexample

The phrase immediately following the word then

(Q)

• Counterexample

• Conclusion

• Hypothesis

• Hypotenus

A statement that is assumed to be true, because the idea is obviously true it does not require proof

Example: All right angles are congruent to each other.

• Proof

• Theorem

• Postulate

• Conjecture

Reasoning based on observation or patterns

Example: All prime numbers are odd.

• Proof

• Theorem

• Postulate

• Conjecture