Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
40 Cards in this Set
- Front
- Back
inductive reasoning
|
the use of examples to arrive at conclusions
|
|
deductive reasoning
|
the use of the "premise-conclusion-reason" 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
<-A---B---C-> : 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)
|