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