Geometry Quiz 2

things used to prove a theorem

things 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