Proof-Based Geometry Postulates and Theorems
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8 terms
Terms | Definitions |
|---|---|
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. |
Postulate 6 | Through any 2 points there is exactly one line |
Postulate 7 | Through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane. |
Postulate 8 | If two points are in a plane than the line that contains the two points is in that plane. |
Postulate 9 | if two planes intersect, then their intersection is a line. |
Theorem 1-1 | If two lines intersect then they intersect in exactly one point. |
Theorem 1-2 | Through a line and a point not in the line there is exactly one plane. |
Theorem 1-3 | If two lines intersect, then exactly one plane contains the lines. |
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