Lines, Segments, & Rays
A line can be thought of as a collection of?
points
represented by a dot, has no size, shape, color, or physical properties
Space
the set of all possible points
What is the definition of Postulate?
a statement accepted without proof
What is another name for Theorem?
Property
What makes a segment different from a line
a segment has endpoints
We think of a point as a?
location
Collinear points
a set of two or more points all on the same line
Postulate 1 states that a line contains at least ______ points?
two
Theorem 1-1 states that if two lines intersect, then their intersection is exactly _____ point.
one
Two or more points all on the same line are called?
Collinear
How many points are located on this page?
Infinity
Coplanar points
a set of two or more points all on the same plane
Postulate 2 states that through any two points, exactly _____ ______ exists.
one line
Theorem 1-2 states that exactly one plane contains a given line and a given _____ not on the line.
point
That the line extends indefinitely
How long is a plane?
infinite
Length of a segment
the distance between the endpoints of a segment
Postulate 3 states, through any three points that are not on one line, exactly ______ _______ exists.
one plane
Theorem 1-3 states that if two lines intersect, then exactly one plane contains both ______.
lines
What is unique about a ray?
It has one endpoint, it has to be named in the order of endpoint and direction
cannot be measured
Opposite rays
are two rays that both start from a common point and go off in exactly opposite directions
Postulate 4 - if two points lie in a plane, the line containing them lies in that plane
Postulate 5 - If two planes intersect, then their intersection is a line
What is the definition of a Theorem?
a general statement that can be proved