geometry unit 2

Hypothesis

the is the *part of a conditional statement that expresses the conditions that must be met.*

conditional

a statement in which a *conclusion is true if the conditions of a particular hypothesis are true* is called a ... statement.

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 _____________.

the same expression is added to both sides of an equation if, and only if, both sides of the equation remain equal.

which is a *proper biconditional statement* formed from the the stament: *if the same expression is added to both sides of an equation, then both sides of the equation remain equal.*

argument

a *series of reasons that leads to a conclusion* is an _________________.

valid argument

a ... is a *application of deductive reasoning* such that the reasoning is *logically correct and undeniably true.*

conjunction

a ... is a compound logic statement made up of *two statements joined together with the word "and."*

conjecture

a ... is a statement that you *conclude to be true based on logical reasoning.*

algebraic

.... proof is a *proof that uses algebraic properties* to reach a conclusion about an algebraic equation.

inductive

the *process of reasoning that a rule, condition, definition, property, or statement is true because specific cases have been observed to be true* is called ... reasoning.

Conclusion

the part of the conditional statement that *expresses the action that will result if the conditions of the statement are met* is called the ___________.

linear pair

the theorem states that *"if any two angles form a linear pair, then they are supplementary."*

formal

an *argument* that *uses written justification in the from of definitions, properties, and previously proved geometric principles to show that a conclusion is true* is called a ... proof.

geometric proof

a ... is an *argument* that *uses written justification* in the form of definitions, properties, *postulates, and previously proved theorems and corollaries* to show that a conclusion is true.

Contrapositive

a is a *related conditional statement* that results from the *exchange and negation* of the *hypothesis and conclusion* of a conditional statement.