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Geometry Chapter 1
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10 Terms
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Dimension Postulate
A line contains at least 2 points; a plane contains at least 3 non collinear points; space contains at least 4 non coplanar points
2
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Straight Line Postulate
Through any 2 distinct points there is exactly one line
3
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Plane Existence Postulate
Through any 3 distinct points there is at least one plane, and through any 3 distinct noncollinear points there is exactly one plane.
4
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Flat Plane Postulate
If two distinct points are in a plane, then the line containing these two points is also in that plane.
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Plane Intersection Postulate
If 2 distinct planes intersect, then their intersection is a line
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Line Intersection Theorem
If 2 distinct lines intersect, then their intersection is exactly 1 point.
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Line-Point Theorem
If there is a line and a point not on the line, then exactly one plane contains them.
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Line Intersect-Plane Theorem
If two distinct lines intersect, then exactly one plane contains them.
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Postulate
A statement that is accepted as true without proof
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Theorem
A statement that must be proven
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