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Glossary 2
POINTS, LINES AND ANGLES – BASICS OF GEOMETRY
DEFINITION: A statement that describes
a mathematical object
All definitions can be written as a true
bi-conditional “if and only if” statement.
POSTULATE (or axiom):
A statement that is accepted without
proof
THEOREM A statement that has been
proven.
Segment Addition Postulate
Statement
Justification
Angle Addition Postulate:
Statement
Justification
If B is between A and C, then AB + BC =
AC
If P is in the interior of RST ,
then mRSP + mPST =
mRST
Point, Line and Plane Postulates
5. Through any two points there exists exactly one line.
6. A line contains at least two points
7. If 2 lines intersect, then their intersection is exactly
one plane.
11, If 2 planes intersect, then their intersection is a line.
8. Through any 3 non-collinear points there exists exactly
one plane.
9. A plane contains at least 3 non-collinear points
10. If 2 points lie in a plane, then the line containing them
lies in the plane
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