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Statements which are proved |
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A line contains at least 2 points; A plane contains at least 3 points not all in one line (collinear); Space contains at least 4 points not all in one plane (coplanar) |
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Through any 2 points, there is exactly 1 line |
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Through any three points there is at least one plane, and throgh any three noncollinear points there is exactly one plane |
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If two point are in a plane, then the line contains the points is in that plane |
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If two planes intersect, then their intersection is a LINE, not a segment |
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If two lines intersect, then they intersect in exactly one point |
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Through a line and a point not in the line there is exactly one plane |
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Definition
If two lines intersect then exactly one plane containts the lines |
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