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38 Cards in this Set

  • Front
  • Back
conditional statement
a type of logical statement
if-then 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 p-r is true
addition property of equality
if a=b, then a+c = b+c
subtraction property of equality
if a=b, then a-c= b-c
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 a-c= b-c
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