Geometry Ch 1
The postulates and theorems from chapter 1.
Terms
undefined, object
copy deck
- Postulate 6
- Through any two points there is exactly one line
- Segment Addition Postulate
- If B us between A and C, then AB + BC = AC
- 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.
- Theorem 1-3
- If two lines intersect, then exactly one plane contains the lines
- Postulate 9
- If two planes intersect, then their intersection is a line.
- 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.
- Theorem 1-1
- If two lines intersect, then they intersect in exactly one point.
- Angle Addition Postulate
-
if point B lies in the interior of
- Postulate 7
- Through any three points there is at least one place
- Protractor Postulate
- Protractor Postulate
- Postulate 8
- Through any three points there is at least one plane, and through any three noncollinear points there is exactly one place.
- Theorem 1-2
- Through a line and a point not in the line there is exactly one plane