Postulate 5
a line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one plane

Postulate 6
Through any two points there is exactly one line

Postulate 7
Through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane.

Postulate 8
If two points are in a plane, then the line that contains the points is in that plane

Postulate 9
if two planes intersect, then their intersection is a line

Theorem 1-1
if two lines intersect, then they intersect in exactly one point

Theorem 1-2
Through a line and a point not in the line there is exactly one plane.

Theorem 1-3
If two lines intersect, then exactly one plane contains the lines.

Segment
Two points on a line and all points in between them.

Ray
all points on segment AC and all points P such that c is between A and P

Opposite Rays
given 3 collinear points R,S,T,- if S is between R and T, SR and ST are opposite Rays

Length
Distance Between Endpoints of a Segment.

Ruler Postulate
1. The points on a line can be paired with the real numbers in such a way that any tho points can have coordinates 0 and 1. 2. Once a coordinate system has been chosen in this way , the distance between any two points equals the absolute value of the differences of their coordinates.

Segment Addition Postulate
If B is between A and C, then AB+BC=AC

Congruent
Having the same size and shape

Congruent Segments
segments that have equal lengths

Midpoint of a Segment
The point that divides the segment into two congruent segments

Bisector of a Segment
a line, segment, ray, or plane that intersects the segment at its midpoint

Angle Addition Postulate
if point B lies in the interior of <AOC then m<AOB+m<BOC=m<AOC

Congruent Angles
Angles that have equal measures

Adjacent Angles
Two angles in a plane that have a common vertex and common side but no common interior points.

Bisector of an Angle
the ray that divides the angle into two congruent adjacent angles.

Please allow access to your computer’s microphone to use Voice Recording.

We can’t access your microphone!
Click the icon above to update your browser permissions above and try again
Example:

Reload the page to try again!
Reload

Press Cmd-0 to reset your zoom
Press Ctrl-0 to reset your zoom
It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.
Your microphone is muted
For help fixing this issue, see this FAQ .