Geometry

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

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