POINTS
LINES
GRAPHING
TYPES OF GEOMETRY
BETWEENNESS AND DISTANCE
100
a dot, or a node in a network
What is a point?
100
Ax+By=C
What is Standard Form?
100
the m in y=mx+b
What is slope?
100
synthetic and plane-coordinate
What are the types of Euclidean geometry?
100
See Exhibit B
What is a ray?
200
Examples: (0,4); (0,27.65); (0,718936473621.3) Not: (4,5); (6,7)
What is a point on the y-axis?
200
a line neither horizontal nor vertical
What is an oblique line?
200
a pair of numbers that describe a location on a coordinate plane
What is an ordered pair?
200
when a line is a set of dots in a row
What is Discrete Geometry?
200
A set containing distinct points A and B and every point in between. See Exhibit C.
What is a line segment?
300
_____ _____ never have an intersecting point
What are parallel lines?
300
a vertical line
What is an undefined line?
300
the slope of the line through (6,5) and (3,1)
What is 4/3?
300
In which a point is described as an exact location and a line is a set of points extending in both directions containing the shortest path between any two points on it.
What is Euclidean Synthetic Geometry?
300
ray AB and AC are ___ ___ if and only if A is between B and C
What are opposite rays?
400
a point is a mathematical way to describe a _____
What is a location?
400
"Through any two points there is exactly one line."
What is the point-line-plane postulate?
400
the line with equation x=any real #
What is a vertical line?
400
See Exhibit A
What is traversable network?
400
|a-b| when a and b are coordinates
What is the distance between two points on a coordinatized line?
500
A network with more than two odd nodes.
What is a non- traversable network?
500
"Two different lines intersect in at most one point."
What is the Line Intersection Theorem?
500
DAILY DOUBLE!!!!!! (just add this to your score at the end) Suppose A, B, and C are points in the plane. A simple description of the following set: the set consisting of points A, B, and C, and all of the points that are between A and B or between B and C or between C and A.
What is line segment AC?
500
As in Euclidean geometry, in this type of geometry, sometimes two intersecting lines share a common point
What is discrete geometry?
500
It includes the uniqueness property (there is a unique distance between two points on a coordinatized line), the distance formula, and the additive property (if B is on segment AC, then AB+BC=AC).
What is the distance postulate?