Chapter1 Flashcards
Postulate 1.2 Line postulate
Any two points in space lie exactly in one line
Postulate 1.1 Expansion postulate
A line contains at least two points. A plane contains at least three non collinear points. Space contains at least four non coplanar points.
Postulate 1.3 Plane postulate
Three distinct non collinear points lie exactly in one plane.
Postulate 1.4 Flat plane postulate
If two points lie in a plane, then the line containing these two points lies in the same plane
Postulate 1.5 Plane intersection postulate
If two planes intersect, then their intersection is exactly one line
Theorem 1.1
If two distinct lines intersect, they intersect in one and only one point
Theorem 1.2
A line and a point not in the line are contained in one and only one plane
Theorem 1.3
Two intersecting lines are contained in one and only one plane
Theorem 1.4
Two parallel lines are contained in one and only one plane
Define collinear points
Points on the same line
Define coplanar (lines/points)
Points/lines on the same plane
Define non collinear points
Points not on the same line
Define skew lines
Lines that are not on the same planes
Define concurrent lines
Lines that intersect at a single point
Define parallel planes
Planes in space that do not intersect
Define parallel lines
Coplanar lines that do not intersect
Define sets
A collection of objects
Define elements
The objects of the set
