Geometry: Postulates and Theorems
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- What is a point?
- a place or location; are infinitely small
- Space
- the set of all points
- Angle Addition Postulate
- If point B is in the interior of angle AOC, then m angle AOB plus the m. angle BOC is equal to m. angle AOC
- Post. 6
- through any 2 points there is exactly one line
- Post 7.
- through any 3 non-collinear points there is exactly one plane
- Post. 8
- if 2 points are in a plane, the line that contains the points is in that plane
- Post. 9
- if 2 planes intersect, then the intersection is a line
- Theorem 1-1
- if two lines intersect, they intersect at exactly one point
- The. 1-2
- through a line and a point not in the line, there is exactly one plane
- The. 1-3
- if 2 lines intersect, then exactly one plane contains the lines