Geometry unit 2

Conclusion

The part of a conditional statement that expresses the action that will result if the conditions of the statement are met is called (__________)

Law of Detachment

a law of deductive reasoning that states that if a conditional statement is true and its hypothesis is true, then its conclusion will also be true; [(p>q^p] > q

law of syllogism

a law of deductive reasoning that states that if two conditional statements are true, and if the conclusion of the first statement is the hypothesis of the second statement, then a conclusion based on the conditional statements will also be true: [(p>q)^(q>r)] >(p>r)

converse of a conditional statement

a related conditional statement in which the hypothesis and the conclusion of a conditional statement have been exchanged

contrapositive of a conditional statement

a related conditional statement resulting from the exchange and negation of both the hypothesis and conclusion of a conditional statement

inverse of a conditional statement

a related conditional statement resulting from the negation of the hypothesis and conclusion of a conditional statement

commutative property of equality

for al expressions (a) and (b), a+b = b+a ab=ba

symmetric property of congruence

for any geometric figures (a) and (b), if (a~=b), then (b~=a)

negation of a conditional statement

is the negative form of a conditional statement

Conditional statement

A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a (_______ ______)

Conjunction

A(___________) is an application of deductive reasoning such that the reasoning is logically correct and undeniably true

conjecture

A(n) (_______) is a statement that you conclude to be true based on logical reasoning

Algebra proof

A(n) (________ _____) is a proof that uses algebraic properties to reach a conclusion about an algebraic equation

Proof

An argument that uses logic in the form of definitions, properties, and previously proved principles to show that a conclusion is true is called a (___________)

Formal proof

An argument that uses written justification in the form of definitions, properties, and previously proved geometric principles to show that a conclusion is true is called a (________ _______)

Hypothesis

Is part of a conditional statement that expresses the conditions that must be met by the statement