Postulates
Postulate 1
Through two given
points
, one and only one
straight line
can be drawn
Postulate 2
Straight lines
are the shortest distance between two
points
Postulate 3
Straight lines
may be extended indefinitely or limited at any
point
Postulate 4
A
circle
or a part of one may be drawn about any
point
as center with any
radius
Postulate 5
A
geometric figure
may be freely moved in space without any change in form or size
Postulate 6
Through a given
point
, only one
line
can be drawn
parallel
to a given line
Parallel
Postulate
If two
straight lines
are parallel to a third straight line, then they are parallel to each other