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23 Cards in this Set

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  • 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.