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Skill 1

Geometry Project Skill level 1

Coordinate The number or numbers associated with the location of a point on a line, a plane, or in space
Coordinatized a line on which every point is identified with exactly one number and every number is identified with a point on the line
Distance between two points on a coordinatized line the length of a segment perpendicular to the planes with an endpoint in each plane
Plane coordinate geometry The study of geometric figures using points as ordered pairs of real numbers
horizontal line A line with equation y = k on the coordinate plane
vertical line A line with an equation x = h on the coordinate plane
oblique line a line that is neither horizontal not vertical
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 zero
Slope-intercept form of an equation of a line A linear equation of the form y = mx + b, where m is the slope and b is the y-intercept
y-intercept In the equation of a line, the value of y when x = 0
Slope In the coordinate plane, the change in y-values divided by the corresponding change in x-values
Discrete point Points described as dots
discrete line lines made up of discrete points
discrete geometry The study of discrete points and lines
graph theory The geometry of networks
arc (A) a path from one point (node) of a network to another point. (B) A set of points made up of two points A and B on a circle (its endpoints) and all points on the circle between A and B/
network a union of points (its vertices, or nodes) and segments (its arcs) connecting them, also called graph
node (even node, odd node) an endpoint of an arc in a network. also called vertex
verticles, vertex See angle, network, polygon. Plural Vertices
transversable network a network in which all the arcs may be traced exactly once without picking up the tracing instrument
Circularity the "circling back" that sometimes occurs when one tries to define basic terms; returning to the word that one is trying to define
underfined terms a term used without a specific mathematical definition
figure a set of points
space The set of all points in a geometry
collinear points that lie on the same line
plane figure a set of points that are all in one plane
coplanar points lying in the same 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
three-dimensional a space, type of geometry, or figure in which all points do not lie in a single plane
postulate a statement assumed to be true
theorem A statement that follows from postulates, definitions, and other statements already proved.
Euclidean geometry The collection of propositions about figures that includes or from which can be deduced those given by the mathematician Euclid around 250 BCE
parallel lines Two coplanar lines that have no points in common or are identical
ray The set consisting of the distinct points A and B, all points between A and B and all points for which B is between the point A.
opposite rays AB and AC are opposite rays if and only if A is between B and C
Created by: oliviak17307