geomentry unit 1:

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parallel lines

2 coplanar lines that have no points in common or identical

opposite rays

__> __> ab and ac are opposite rays if and only if a is between b and c

betweenness of #s

a # is between 2 other #s if it is greater than one of them and less than the other

pixels

a dot on a tv, computer screen, or other monitor

oblique line

a line that is neither horizontal nor vertical

vertical line

a line with an equation x=h on the coordinate plane

horizontal line

a line with an equation y=k on the coordinate plane

menu

a list of options from which a user of a dynamic geometry system (DGS) can select an operation for the DGS to perform

transversable network

a network in which all the arcs may be traced exactly once without picking up the tracing instrument

even node

a node that is the endpoint of an even # of arcs in a network

odd node

a node that is the endpoint of an odd # of arcs in a network

arc

a path from one point (node) of a network to another point

betweenness of points

a point is between 2 other points on the same line if its coordinate is between their coordinates

figure

a set of points

plane figure

a set of points that all in one plane

three-dimensional

a space type of geometry of figure in which all points do not lie on the same line in a single plane

one-dimensional

a space type of geometry or figure in which all points are collinear

two-dimensional

a space type of geometry or figure in which all points are coplanar

postulate

a statement assumed to be true

theorem

a statement that follows from postulate definitions and other statements already proven

undefined terms

a term used without a specific mathematical definition

network

a union of points (its vertices, or nodes) and segment(its arc) connecting them. Also called graph

distance between 2 points

absolute value of the difference of the coordinates of the points on a coordinated line

node

an endpoint of an arc in a network. Also called vertex

standard form of an equation of a line

an equation of a line in the form ax+by=c, where a and b are not both 0

dynamic geometry system

any calculator or computer utility that enables the user to draw of construct figures and then dynamically manipulate them

slope

in the coordinate plane, the change in y-values divided by the corresponding change in x-values

y-intercept

in the equation of a line, the value of y when x=0

coordinatized line

line on which every point is identified with exactly 1 # and every # identified with a point on the line

slope intercept form of an equation of a line

linear equation of the form y=mx+b where m is the slope and b is the y-intercept

discrete line

lines made up of discrete points

discrete point

points described as dots

coplanar points

points lying in the same plane

collinear points

points that lie on the same line

vertices, vertex

see angle, network, polygon

endpoints

see arc, ray segment

circularity

the "circling back" that sometimes occurs when one tries to define basic terms, returning to the word that one id trying to define

coordinate

the # or #s associated with the location of a point on a line , a plane, or in space

window

the area in which a dynamic geometry system (DGS) can draw

euclidean geometry

the collection of propositions about figures that includes or from which can be deduced those given by mathematician euclid around 250 bcd

graph theory

the geometry of networks

segment, line segment

the set consisting of the distinct point a and b (endpoints)and all points ___ between a and b denoted AB also called line segment

ray

the set consisting of the distinct points a (its endpoint) and b, all points for which b is between the pout and a denoted ___> ab

space

the set of all points in a geometry

discrete geometry

the study of discrete points and lines

plane coordinate geometry

the study of geometric figures using points as ordered pairs of real #s


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