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Geometry Chapter 1
Definitions, Theorems, and Postulates
| Question | Answer |
|---|---|
| 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 |