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Geometry Project Skill level 1

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Term
Definition
Coordinate   The number or numbers associated with the location of a point on a line, a plane, or in space  
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Coordinatized   a line on which every point is identified with exactly one number and every number is identified with a point on the line  
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Distance between two points on a coordinatized line   the length of a segment perpendicular to the planes with an endpoint in each plane  
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Plane coordinate geometry   The study of geometric figures using points as ordered pairs of real numbers  
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horizontal line   A line with equation y = k on the coordinate plane  
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vertical line   A line with an equation x = h on the coordinate plane  
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oblique line   a line that is neither horizontal not vertical  
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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  
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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  
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y-intercept   In the equation of a line, the value of y when x = 0  
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Slope   In the coordinate plane, the change in y-values divided by the corresponding change in x-values  
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Discrete point   Points described as dots  
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discrete line   lines made up of discrete points  
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discrete geometry   The study of discrete points and lines  
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graph theory   The geometry of networks  
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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/  
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network   a union of points (its vertices, or nodes) and segments (its arcs) connecting them, also called graph  
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node (even node, odd node)   an endpoint of an arc in a network. also called vertex  
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verticles, vertex   See angle, network, polygon. Plural Vertices  
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transversable network   a network in which all the arcs may be traced exactly once without picking up the tracing instrument  
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Circularity   the "circling back" that sometimes occurs when one tries to define basic terms; returning to the word that one is trying to define  
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underfined terms   a term used without a specific mathematical definition  
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figure   a set of points  
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space   The set of all points in a geometry  
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collinear   points that lie on the same line  
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plane figure   a set of points that are all in one plane  
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coplanar   points lying in the same plane  
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one-dimensional   A space, type of geometry, or figure in which all points are collinear  
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two-dimensional   A space, type of geometry, or figure in which all points are coplanar  
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three-dimensional   a space, type of geometry, or figure in which all points do not lie in a single plane  
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postulate   a statement assumed to be true  
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theorem   A statement that follows from postulates, definitions, and other statements already proved.  
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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  
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parallel lines   Two coplanar lines that have no points in common or are identical  
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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.  
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opposite rays   AB and AC are opposite rays if and only if A is between B and C  
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