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40 Cards in this Set
 Front
 Back
inductive reasoning

the use of examples to arrive at conclusions


deductive reasoning

the use of the "premiseconclusionreason" process(PCR process)


postulate

(axiom) a statement whose truth is assumed without proof


theorem

is a statement proved by deductive reasoning


reflexive property of equality

a quantity is equal to itself


symmetric property of equality

an equality may be reversed (if a = b then b = a)


transitive property of equality

if quantities are equal to the same quantity then they are equal to each other (if a = b and b = c then a = c)


partition postulate

a whole is equal to the sum of all its parts (property of betweenness)


substitution postulate

a quantity may be substituted for its equal in any expression


midpoint

is the point of a line segment that divides the segment into two congruent segments


angle bisector

a line, segment, or ray that passes through the vertex of an angle dividing the angle into two congruent angles


segment bisector

a line, segment, or ray that passes through the midpoint of a segment dividing the segment into two congruent segments


perpendicular lines

lines that intersect to form right angles


complementary angles

two angles whose sum is 90 degrees


supplementary angles

two angles whose sum is 180 degrees


altitude of a triangle

a line segment drawn from any vertex, perpendicular to and ending in the opposite side


right angle

an angle that measures exactly 90 degrees


straight angle

an angle that measures exactly 180 degrees (a line)


linear pair

two adjacent angles that together form a line


vertical angles

when two lines intersect the angles that lie opposite of each other


congruent

equal in measure


isosceles triangle

a triangle with two congruent sides


collinear points

points that lie on the same line


addition postulate

if equal quantities are added to equal quantities, the sums are equal


subtraction postulate

if equal quantities are subtracted from equal quantities, the differences are equal


multiplication postulate

if equal quantities are multiplied by equal quantities, the products are equal (doubles of equal quantities are equal)


division postulate

if equal quantities are divided by equal quantities, the quotients are equal (halves of equal quantities are equal)


powers postulate

the squares of equal quantities are equal


roots postulate

positive square roots of equal quantities are equal


adjacent angles

share a common vertex or side, but have no common interior points


scalene triangle

no congruent sides


acute angle

less than 90 degrees


segment

line with two endpoints


ray

continual line with one endpoint


angle

intersection of two rays


obtuse

greater than 90 degrees and less than 180 degrees


opposite rays

rays that mirror each other
<ABC> : BA and BC 

premise

the "if" part of a conditional statement. it is a statement whose truth has been established, known to be true.


conclusion

the "then" part of a conditional statment. it is a statement whose truth is the result of the premise.


reason

the justification for the conclusion (definitions, properties, theorems)
