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38 Cards in this Set
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conditional statement

a type of logical statement


ifthen form

if hypothesis
then conclusion 

hypothesis

is the first part of a conditional statement


conclusion

then part of a conditional statement


converse

switching the hypothesis and conclusion


negation

writing the negative statement


inverse

making the hypothesis and conclusion negative


contrapositive

switching and negating the hypothesis and conclusion


equivialent statements

when two statements are both true or false


perpendicular lines

two lines that intersect to form a right angle


line perpendicular to a plane

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


biconditional statement

a statement that contains the phrase "if and only if"


deductive reasoning

uses facts, definitions, and accepted properties in a logical order to write a logical argument


logical argument

an argument based on deductive reasoning


law of detatchment

if p>q is a true conditional statement and p is true, then q is true


law of syllogism

if p> and q>r are true conditional statements, then pr is true


addition property of equality

if a=b, then a+c = b+c


subtraction property of equality

if a=b, then ac= bc


multiplication property of equality

if a=b, then ac= bc


division property of equality

if a=b and c ≠ 0, then a÷ c= b÷c


law of syllogism

if p> and q>r are true conditional statements, then p> r is true


addition property of equality

if a=b, then a+c = b+c


subtraction property of equality

if a=b, then ac= bc


multiplication property of equality

if a=b, then ac= bc


division property of equality

if a=b and c ≠ 0, then a÷ c= b÷c


reflexive property of equality

for any real number a, a = a


symmetric property of equality

if a = b, then b = a


transitive property of equality

if a = b and b = c, then a = c


substitution property of equality

if a = b, the a can be substituted for b in any equation or expression


reflexive property of segment congruence

for any segment AB, (AB) is congruent to (AB)


symmetric property of congruency

if (AB) is congruent to (CD), then (CD) is congruent to (AB)


transitive property of congruency

if (AB) is congruent to (CD), and (CD) is congruent to (EF), then (AB) is congruent to (EF)


paragragh proof

a proof that can be written in paragragh form


right angle coungruency theorum

all right angles are congruent


congruent supplements theorum

if two angles are supplementary to the same angle (or to congruent angles) then they are congruent


congruent compliments theorum

if two angles are supplementary to the same angle (ot to congruent angles) then the two angles are congruent


linear pair postulate

if two angles form a linear pair, then they are supplementary


vertical angles theorum

vertical angles are congruent
