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Geometry Chapter 1

Definitions, Theorems, and Postulates

QuestionAnswer
If you take a line segment and divide it into equal segments and match each division with a real number(coordinate), you get a ruler. Ruler Postulate
If B is btw. A and C, then AB+BC=AC (the parts add up to the whole) Segment Addition Postulate
If point B lies in the interior of angle AOC, then the measure of angle AOB+the measure of angle BOC=the measure if angle AOC. Angle Addition
a line contains at least two points. Minimum Postulate
Through any two points there is exactly one line. Line Postulate
Through any three points there is at least one plane, and through any three non collinear points there is exactly one plane. Plane Postulate
If two points are in a plane, then the line that contains the points is in that plane. Flat Plane Postulate
If two planes intersect, then their intersection is a line. Intersecting Plane Postulate
is the point that divides the segment into two congruent segments. If M is the midpoint of segment AB, then AM=MB or segment AM is congruent to segment MB. Definition of a Midpoint
Ray that divides the angle into two congruent adjacent angles. If ray YW bisects angle XYZ, then the measure of angle XYW= the measure of WYZ or angle XYW is congruent to angle WYZ. definition of an angle bisector
Created by: Rking359
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