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Skill 1
Geometry Project Skill level 1
| Term | Definition |
|---|---|
| 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
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