Studied by 2 peoplethings used to prove a theorem
definitions, postulates, previously proved theorems
3 characteristics of postulate
consistant, independent, complete
the union of two distinct rays with a common endpoint
angle
half-line
a subset of a line consisting of all the points on a given side of a point on the line
ray
union of a half line and its origin (origin is included)
Line Postulate
only two points in space lie on exactly one line
Expansion Postulate
A line contains at least two points. A plane contains at least three noncollinear points. Space contains at least four noncoplanar points.
Line Seperation Postulate
every point on the line divides the line into three distinct parts: the point and two half-lines.
Plane Seperation Postulate
Every line in a plane divides the plane into three distinct parts: the line and two half-planes
Note
Flashcard