point
an exact location in space
line
an object with no thickness that extends infinitely in two directions
ray
part of a line consisting of one endpoint and continues in one direction
line segment
A part of a line consisting of two endpoints
opposite ray
ray that shares an endpoint that continue infinitely in opposite directions
plane
a flat surface that extends infinitely in all directions
collinear
points that lie on the same line
non collinear
points that don't lie on the same line
coplanar
points that lie on the same plane
non coplanar
points that don't lie on the same plane
segment addition postulate
if point b lies on segment AC the AB+BC=AC
segment bisector
a line, ray, or segment that divides a line segment in two equal parts
midpoint of a segment
a point that divides a line in two equal parts
angle addition postulate
if k is in the interior <HIJ then <HIK+<KIL=<HIJ
angle bisector
a ray that divides an angle into two congruent angles
verticle angles
two angles across from each other on intersecting lines, they are always congruent
adjacent angles
two angles that are next to each other and share a common side
complementary angles
any two angles whose sum is 90 degrees
supplementary angles
any two angles whose sum is 180 degrees
linear pair
any two angles that are adjacent and supplementary , they form a straight line
corresponding angles
congruent
alternate interior angles
congruent *set = to each other
alternate exterior angles
congruent *set = to each other
consecutive exterior angles
supplementary *add to 180
consecutive interior angles
supplementary *add to 180
inductive reasoning
A type of reasoning that involves drawing a likely conclusion from a set of specific observations
deductive reasoning
the process of drawing conclusions based on statements we assume to be true, based on facts
angle
a figure formed by two rays with a common endpoint
angle congruence
angles that are identical to each other
biconditional
a statement that contains the phrase if and only if. this implies that both a conditional statement and its converse is true
complement
the amount you must add to make it whole
conclusion
comes after the then in a conditional statement
conditional statement
a logical statement that has two parts
congruent
same size and shape
conjecture
to guess
contrapositive
when the hypothesis and conclusion of a conditional statement are switched and negated
converse
when the hypothesis and conclusion of a conditional statement are switched
hypothesis
statement which is supported by data
counterexample
an example that proves that a conjecture or statement is false
if then statements
hypothesis followed by an conclusion
intersection
a point where lines intersect.
inverse
when the hypothesis and conclusion of a conditional statement are switched
paraell lines
lines that never intersect
perpendicular lines
lines that intersect to form right angles
postulate
a statement that is accepted as true without proof
segment congruence
segments that have the same length
transversal
a line that cuts two or more lines
vertex of an angle
point where an angle is measured