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alyzapinski13
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Half Line
the net of all points on a line on a given side of a given point of the line. (Does NOT include origin)
Line Seperation Postulate
every point divides a line through that point into 3 disjoint sets: the point and two half-lines.
Ray
the union of the half line and its origin. Extends infinatly in one direction
(1st letter is origin)
Between
B is between A and C if BC (ray) n BA (ray)={B}.
A-B-C are collinear
Opposite Rays
BA(ray) & BC(ray) are opposite rays if and only if B is between A and C
Segment
the set of two points A and B and all the points inbetween (ex. AB with line over)
Vector
a directed line segment (Arrow above letters has only half an arrowhead.)
Half-Plane
the subset of a plane consiting of all the points on a given side of a line in the plane {if points P and Q are in a 1/2 plane, then si is the segment joining them}
Edge of half-plane
the line that seperates the plane into two half-planes (not part of either 1/2)
Opposite half-plane
the two half planes that are seperated by a particular line on the plane (each half is labeled s1 or s2)
Plane seperation postulate
every line divides any plane containing the line into 3 disjoint sets (the line, and 2 half-planes)
Angle
the union of two distinct rays with a common end point (vertex)
Interior of an angle
the intersection of two half planes each determined by a side of the angle and containing the other side (except the vertex)
Exterior of an angle
the complement of the union of the angle and its interior