# Shared Flashcard Set

## Details

Geometry Postulates
Saxon Geometry Postulates
10
Mathematics
05/23/2010

Term
 Postulate 1: Ruler Postulate
Definition
 The points on a line can be paired in a one-to-one correspondence with the real numbers such that: 1. Any two given points can have coordinates 0 and 1 2. The distance between two points is the absolute value of the difference of their coordinates.
Term
Definition
 If B is between A and C, the AB + BC = AC
Term
 Postulate 3: Protractor Postulate
Definition
 <->                    ->        -> Given a point X on PR, consider rays XP and XR, as well as all the other rays that can be drawn                                        <->  with x as an endpoint, on one side of PR. These rays can be paired with the real numbers from 0 to 180 such that:    ->                              -> 1.XP is paired with 0, and XR is paired with 180        ->                                           ->  2. If XA is paired with a number c and XB is paired with a number d then m/_AXB = \c-d\.
Term
 Postulate 4: The Angle Addition Postulate
Definition
 If point D is in the interior of /_ ABC, then m/_ ABD+m/_DBC = m/_ ABC
Term
 Postulate 5:
Definition
 Through any two points there is exactly one line.
Term
 Postulate 6:
Definition
 Through any three noncollinear points there exists exactly one plane.
Term
 Postulate 7:
Definition
 If two planes intersect, then their intersection is a                                                        <-> line. Planes M and N intersect at AB.
Term
 Postulate 8:
Definition
 If two points line on a plane, then the line containing the points lies in the plane.
Term
 Postulate 9:
Definition
 A line contains at least 2 points.  A plane contains at least 3 noncollinear points.  Space contains at least 4 noncoplanar points.
Term
 Postulate 10: The Parallel Postulate
Definition
 Through a point not on a line, there exists exactly one line through the point that is parallel to the line.
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