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23 Cards in this Set
 Front
 Back
conditional statement

has two parts, a hypothesis and a conclusion.


converse

the statement formed by switching the hypothesis and conclusion of a conditional statement


negation

the negative of a statement. the negation symbol is ~


inverse

the statement formed when you negate the hypothesis and conclusion of a conditional statement


contrapositive

the statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement


perpendicular lines

two lines that intersect to form a right angle. the smybol for "is perpendicular to" is ⊥


line perpendicular to a plane

a line that intersects the plane in in a point and is perpendicular to every line in the plane that intersects it


biconditional statement

a statement that contains the phrase "if and only if" the symbol for "if and only if" is ↔


logical argument

an argument based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order


law of detachment

if p ➡ q is a true conditional statement and p is true, than q is true


law of syllogism

if p ➡q and q➡r are true conditional statements then p➡r is true


inductive reasoning

the process of using observations or specific data to recognize a patter and making a conjecture


deductive reasoning

the process of combining statements such as general rules or laws to make a logical argument or to identify a specific result or conclusion


conjecture

an unproven theorem


counterexample

an example that proves a statement is false.


reflexive property of congruence

AB is congruent to AB


symmetric property of congruence

KR congruent ML then ML congruent to KR


transitive property of congruence

AB congruent to CD and CD congrent to EF then AB congrent to EF


right angle congruence theorem

All right angles are congruent


linear pair postulate

linear pair's are congruent


vertical angles theorem

vertical angles are congruent


congruent supplements theorem

if two angles are supplements of congruent angles (or of the same angle) then the two angles are congruent.


congruent complements theorem

if two angles are complements of congruent angles (or of the same angle) then the two angles are congruent.
